This research explains the applications of the algorithm that was designed to provide statistical support for
medical doctors. The support that was achieved from this research looks for an urgent interpretation of
parameters such as the rate of infection by COVID-19 and the rate of mortality because of the virus.
Furthermore, this research achieves prediction rates that were provided by a mathematical model that
observes and adapts real statistical data from other countries, where governments are trying to find
solutions for COVID-19 propagation. In order to get accuracy in prediction results, it was necessary to
analyse the statistical behaviour from China and other countries that returned to normal activities before
virus required confinement of the population inside homes. The viruses problematic growth and some
suggestions, on how to avoid deep complications in health and economy of people (for instance,
quarantine as the main response to attenuate advance of this virus) are offered.
The Biologist
(Lima)
The Biologist (Lima), 2021, vol. 19 (1), 19-28.
ORIGINAL ARTICLE / ARTÍCULO ORIGINAL
1Applied Biophysics, Institute for Physics, Technical University of Ilmeanu , Ilmenau 98693, Germany
2Pontificia Universidad Católica del Perú, Mechatronic Master Program and Energy Laboratory, Lima 32, Peru
3Department of Protocol and Investigation National Hospital Guillermo Almenara, Perú.
4 Northern (Artic) Federal University named after MV Lomonosov, Arkhangelsk Russia.
*Corresponding author: alan.calderon.@pucp.edu.pe
1,2 2 2 2,3
J. Alan Calderón Ch ; Julio Tafur Sotelo ; Benjamin Barriga Gamarra ; Julio Guevara Guevara ;
2,4 2 2
John Lozano Jauregui ; Juan Lengua Arteaga & Gonzalo Solano
ABSTRACT
Keywords: COVID-19 propagation – statistical data – Mathematical modeling
The Biologist (Lima)
ISSN Versión Impresa 1816-0719
ISSN Versión en linea 1994-9073 ISSN Versión CD ROM 1994-9081
doi:10.24039/rtb2021191878
19
PREDICTIVE ALGORITHM ANALYSIS FOR OPTIMAL PREVENTIONS IN TIME OF
CORONAVIRUS (COVID-19) DURING QUARANTINE
ANÁLISIS PREDICTIVO DEL ALGORITMO PARA UNA PREVENCIÓN ÓPTIMA EN EL
TIEMPO DE CORONAVIRUS (COVID-19) DURANTE LA CUARENTENA
https://orcid.org/0000-0002-6486-5105
D
The Biologist (Lima). Vol. 19, Nº1, jan - jun 2021
RESUMEN
Palabras clave: Propagación de COVID–19 – datos estadísticos – modelamiento matemático
En esta investigación se explica las aplicaciones del algoritmo que fue propuesto para proporcionar apoyo
estadístico para los médicos. El apoyo que se realizó en esta investigación busca una urgente
interpretación de parámetros como la tasa de personas infectadas por COVID-19 y la tasa de personas
fallecidas a causa de este virus. Además, esta investigación logra predecir las tasas que fueron
proporcionadas por un modelo matemático que observa y adapta datos estadísticos reales de otros países
donde están tratando de encontrar soluciones contra la propagación del COVID-19. Esto implica que, con
el fin de obtener precisión en los resultados de la predicción, fue necesario analizar cuál fue el
comportamiento estadístico de China y otros países que volvieron a la normalidad de sus actividades, tal
como era antes de que el virus impusiera a la población a permanecer en sus hogares. Por otro lado, se
resume el crecimiento problemático del virus y algunas sugerencias de cómo evitar complicaciones
profundas en la salud y la economía de las personas (por ejemplo, los días de cuarentena, como principal
respuesta para atenuar el avance de este virus).
INTRODUCTION
20
In March 6, 2020, the first infected person
(Coronavirus en el Perú, 2020), was detected in
Peru (Figure 1, letter “A”). Therefore, there was
many recommendations given by Peruvian
government such as cleaning and keeping rest in
home, as it was made by the international
community, which is crossing the same task.
Nevertheless, it was expected exponential growth
of the infected quantity of people curve that was the
reason why the government decided to declare days
of quarantine from March 16, 2020 (El Peruano,
2020).
For this reason, data (as all statistical data about
COVID-19 in Peru obtained from official and
public information of Peruvian Health Ministry,
MINSA) was processed to show the behaviour of
infected quantity growth as the dependence of
current days and quarantine days.
Figure 1. The curve of the quantity of infected people as the dependence on 18 current days and 3 quarantine days.
Calderón-Chavarri et al.
21
Hence, the blue colour curve of Figure 1 shows the
increase of people, who were infected by the virus
even though after 10 days of finding the first
infected person in Peru, the “Quarantine days”
started (as it is possible to see from the letter “B” in
the same Figure).In order to give a mathematical
formalism for the statistical data that was achieved,
this research analyse a general polynomial (it is
showed in equation 1), which depends on its
coefficients (a, b) and derivatives P =d/dt (with
order n) as the consequence of the response Y, the
excitation variables u, internal variables x and error
e (all of them depend on time t) (Pearson, 1979;
Chowell et al., 2016; Chen et al., 2020).
This general polynomial model is known as
Modulating Functions technique that is very
adapted for many changes and its solution is
another polynomial model that was adjusted to the
desired response. Hence, it is possible to achieve
predictions that depend on adaptive coefficients, it
means a better accuracy to get estimations in
multivariable and non-linear models.
where solution error analysis e(t) is the error
described by the following equation, in which, V
keeps the Fourier series coefficients, indexes m, n,
k, a, moreover the parameters matrix θ.
In the following equation, α is the frequency
parameter function, C is the combination for
coefficients, a keeps the physical parameters and
j
n−j
(ikω) is a complex number for the corresponding
o
index:
MATERIALS AND METHODS For which, the nonlinear model for error analysis is
given by the following equation, in which, g is the
given function for parameters θ, E and F are
specified functions for the input variables u and
responses y, P are the fixed polynomials as
dependence on derivatives p = d/dt:
Therefore, the costing function that depends on the
function r of the complex conjugations is given by
the equation 5:
also, in order to get the main model parameters, the
derivation of the costing function J was achieved as
it is described by the following equation, in which θ
is the physical parameters matrix, W is the weights
C
matrix, Y and Γ are composed on the real and
C
imaginary coefficients from the linear regression
model:
It means, that parameters are shown in equation 7
that depends on the adaptive coefficients:
On the other hand, it is obtained the estimated
response Ŷ:
In which, due to get the adaptive estimation (it is
looking for optimal predictions), it is necessary the
weight matrix W:
m
W and W depend on adjusted coefficients ρ that is
C m
inside the range between -1 and 1 (values were
chosen for W and Wrespectively).
C m
The Biologist (Lima). Vol. 19, Nº1, jan - jun 2021
Predictive algorithm or optimal preventions of COVID-19
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Hence, the expected solution Ŷ is adapted to its own
dynamic that was observing the dynamic of
another countries too, which give solution ranges
for W. It means, whether an expected curve P (as it
is depicted in the following figure) needs the
prediction to continue the trajectory from the point
Q, this trajectory can follow 3 possibilities by the
indicated arrows (up, down or right side).
Notwithstanding, it is suggested in this research to
see this problem as a complex statistic task and this
is the reason, why it is analysed as a dynamic
system, in which the prediction needs a reference
trajectory owing to get this road. Moreover, it is
necessary to recognize that every curve has its own
dynamic (O, G, B) with own difficulty to be
predicted (such as in the context of COVID-19), it
is suggested that adaptation factors need to be
correlated with adaptation factors of other
dynamics (from O, G, B) due to prevent or achieve
a better successful prediction of the new trajectory
of P. Despite, the road of P could change suddenly
(Bouchnita & Jebrane, 2020; De Falco et al., 2020;
Fang et al., 2020).
Figure 2. Dynamic curves for the proposed analysis.
The complexity of this proposal is given in changes
of the input matrix variables due to these excitation
signals take the information of the real response or
the expected response. It means for COVID-19
application (quantity of infected and deceased
people prediction) cannot achieve the desired
prediction, while it is not concentrated in the real
dynamic of the system (population changes) and to
make comparisons with other dynamics, some
curves just crossed the increasing transient and
achieved the decreasing response. What does this
context mean in the dynamic that was correlated for
the other curves? This was explained by the
compromise of the adaptation matrix of every
dynamic and the expected response as the
dependence on the parameters of the curves that got
a decreasing response. In this context, this is an
advantage of this proposal, because of COVID-19
context. It can be interpreted as every curve
represents countries dynamics with their own
coefficients and adaptations, which need to be
analysed for the dynamic of the system, which is
looking for its own prediction. That matrix can be
composed by this question: What medicine or
procedure support were prepared by the
government of countries where confinement only
cannot guarantee decreasing of the curve?
Furthermore, to get understanding of the behaviour
of every dynamic, it means there are countries with
more flexible rules to get a collective response, but
the flexibilities or other as a collective are not fast.
Therefore, there are countries with similar
dynamics if to compare with other. Hence, it can be
obtained matrixes and coefficients of an expected
dynamic.
However, what does it mean as a suggested answer
for the collective group? That translation is the
complex and it needs much communication
between authorities of different countries that
analysed countries dynamics, because perhaps
these coefficients can be translated as the medical
treatment between patients and medical doctors.
What support by medicine and what is the
The Biologist (Lima). Vol. 19, Nº1, jan - jun 2021
Calderón-Chavarri et al.
23
psychological answer for the collective group?
What is about the economical proposal solutions
for the collective? As it is proposed in this research,
every variable needs to be studied and correlated
and the result of the dynamics curves needs to be
interpreted according to get better prediction in
stochastic context. It is faster while medicine
answer accelerates this process (for example,
plasma analysis or increasing immunity of people).
To sum up, the data interpretation needs to be
analysed as the dynamic, but not to be isolated from
others, ever proposal solution needs to be adapted
for every reality.
RESULTS
Can quarantine days to achieve decreasing of the
quantity of infected people curve?
This question needs to be solved through optimal
predictions from the database that was published
by MINSA. In this context, it was modelled a
polynomial model algorithm, which is depicted in
the flowchart of Figure
Figure 3. Flowchart to describe the algorithm that was designed to predict the quantity of infected people during quarantine days.
The first step is given by the polynomial
identification from the input data. For this task it
was organized as input variables the quantity of
infected people, current days and quarantine days.
After it was necessary to calculate the matrix
weight by interruption of the main algorithm,
owing to adapt the weight coefficients. Finally, it
was analysed the error compromise by optimizing
the predicted quantity of infected people with the
expected response from its dynamic model that
was obtained before (from the polynomial model).
Hence, the algorithm Least Mean Square as
subroutine was the tester of the error of the result.
Executing the algorithm, it was possible to
understand the problem: the number of infected
people continues to grow as it is shown by the red
colour curve of Figure 4.
For this moment, in which it was achieved the last
result of the algorithm execution, it is March 19,
2020. It means the letter E of Figure 4 depicts the
quantity of infected people as 234, which is 89
more than the value in letter D (one day ago).
Therefore, from the red curve is showed that the
growth speed will continue until 440 infected
people in the eighth quarantine day with the error of
±3, only whether data published that was registered
by MINSA that keeps accuracy during the patients'
tests.
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Predictive algorithm or optimal preventions of COVID-19
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The information that is showed in Figure 4 was
achieved during the middle of March 2020 (when
in Peru there was not registered deceased people
because of COVID-19). Figures 4 and 5 were
obtained as a consequence of registered data from
MINSA and the prediction result from the designed
algorithm (until April 6, 2020). In figure 5 is
depicted three internal figures due to analysing the
real data that was published by MINSA, even
though the real quantity of infected people is only
from the people, who made the test (whether
achieved infection or not). Therefore, to know the
real quantity of infected people in the country is not
simple, because the virus transmission can be given
from people, who are asymptomatic or who did not
make the infection test. However, for the analysis
to proportionate in this research, it is used official
data that was registered for MINSA.
In Figure 5A, it is depicted the curve (blue colour)
of virus infection evaluated people (quantity) E and
the curve (yellow colour) of no infected people,
both curves are under the dependence of the total
current days and quarantine days. It is possible to
see that during last days (since the 10-quarantine
day or the 25 current days) the quantity of non-
infected people started to decrease more and more
(more infected people were achieved).
In Figure 5B, it is showing the curve (green colour)
of the quantity of infected people I, the curve
(violet colour) - no deceased people quantity Nd
and the curve (red colour) the quantity of
deceased people. It is possible to see that quantity
of deceased people started to increase since the 3rd
quarantine day.
In Figure 5C, it is showing the curve (red colour) of
deceased people (expanded view from Figure 5B).
Figure 4. The curve of the quantity of infected people as the dependence on current days and quarantine days that were joined to
the expected curve.
Figure 5. Curves of evaluated people, infected people, and deceased people for Peru, that were based on published data by
MINSA.
The Biologist (Lima). Vol. 19, Nº1, jan - jun 2021
Calderón-Chavarri et al.
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In context to analyse an optimal prediction of the
variables: the quantity of infected people and the
quantity of deceased people, it was necessary to
give as the reference information of the designed
algorithm: the dynamic answer of China, Russia,
Spain and Italy to deal with COVID-19 (this
information is official and it was published by
Health Ministry of these countries). In China it was
reduced the number of infected people and the
quantity of deceased people before the 100 day
after infection started in this country. Therefore, the
red colour curve in Figure 6 depicts dynamic of
Peru, the blue colour curve depicts dynamic of
Russia, the yellow colour curve depicts dynamic of
Spain, the green colour curve depicts dynamic of
Italy.
Figure 6. The curve of the quantity of infected people as the dependence on current days and quarantine days that were joined to
the expected curve (Total stored amount).
This information was a reference variable to
achieve the Dynamic Peruvian model (red colour
curve) as it is showed in Figure 6. It was possible to
get the prediction of the maximal quantity of
infected people for every country from every letter
indicated that was indicated in Figure 6 (R, S, P, I).
It was correlated every curve that gives priority to
the coefficient weights that was obtained from the
countries data, which crossed the peak of their
curves (such as China, Spain, and Italy). Therefore,
the correlation of that dynamics in the main model
helped to finish the estimation for all of them and to
propose an optimal road for Spain, Italy, Russia and
Peru.
The blue colour rhombus represents the number of
the infected people since infection started in Russia
until the infection day number 103, in which was
achieved 485253 infected people approximately
(the rhombus R). After to correlate this curve with
the curves of other countries (Peru, Spain and
Italy), it was obtained the estimation that was
depicted by the blue colour curve (crossing
1400000 infected people until the day number
300). The red colour rhombus represents the
number of the infected people since infection
started in Peru until the infection day number 98, in
which was achieved 203736 infected people
approximately (the rhombus P). After to correlate
this curve with the curves of other countries
(Russia, Spain and Italy), it was obtained the
estimation that was depicted by the red colour
dotted curve (around 700000 infected people until
the day number 300, while it is not stopped the
quarantine days). The yellow colour rhombus
represents the number of the infected people since
infection started in Spain until the infection day
number 109, in which was achieved 241966
infected people approximately (the rhombus S).
After to correlate this curve with the curves of other
countries (Russia, Peru and Italy), it was obtained
the estimation that was depicted by the yellow
colour curve (around 295000 infected people until
the day number 300). The green colour rhombus
represents the number of the infected people since
infection started in Italy until the infection day
number 133, in which was achieved 235561
infected people approximately (the rhombus I).
After to correlate this curve with the curves of other
countries (Russia, Peru and Spain), it was obtained
The Biologist (Lima). Vol. 19, Nº1, jan - jun 2021
Predictive algorithm or optimal preventions of COVID-19
26
the estimation that was depicted by the green
colour curve (around 300000 infected people until
the day number 300).
Notwithstanding, the quarantine time was stopped
in Peru after 107 days and this effect caused that red
colour dotted curve changed its dynamic to the
expected red colour curve (showed in Figure 6).
The reason, why the number of infected people
increased, could be explained by social phenomena
that was correlated with economic problems for the
country. Therefore, the designed algorithm
predicted this change by the result of the red colour
curve.
By another side, there is another high quite
important variable to keep in mind that is the
quantity of deceased people as it is shown in Figure
7: the red colour is for Peru, the blue colour is for
Russia, the green colour is for Italy, the yellow
colour is for Spain.
Figure 7. The curve of the quantity of deceased people as the dependence on current days and quarantine days that were joined to
the expected curve.
The estimation can give the information to achieve
steady-state of the quantity of infected people and
deceased people, more or less since the 100 days of
the current days. Notwithstanding, it must to be
clear that this prediction could get good accuracy
only whether Peruvian government takes in control
variables as Chinese government did (to deal with
the virus). Italy, Spain and Russia are doing this (to
deal with the virus) as for example, to store people
inside homes in a strict way and medical
parameters for patients and population. But the
dynamic of Peru is not the same as the dynamic of
China due to many variables based in the economy,
population, behaviour of people etc. That is the
reason, why it is very important to study dynamics
from other countries too, in China it was achieved
good result and there are countries that cannot get it
yet. This is important to model the algorithm that
was designed according to be prepared for different
possibilities during next days, because to not make
mistakes to care life of humans, even though to
keep Peruvian population inside homes is
dangerous for economic variables that means to
correlate them in this research it needs next step.
The designed mathematical model takes as the
reference variables the dynamic models from other
countries owing to achieve adaptive coefficients
matrices, which can reduce the error as the
dependence of the main target: reduce virus
transmission and quantity of deceased people. The
blue colour rhombus represents the number of the
deceased people since the infection started in
Russia until the day number 103. Until that day,
approximately 6142 infected people died (the
rhombus R) after to correlate this curve with the
curves of other countries (Italy, Peru and Spain), it
was obtained the estimation that was depicted by
the blue colour curve (around 38000 died people
until the day number 300).
The red colour rhombus represents the number of
the deceased people since the infection started in
Peru until the day number 98. Until that day,
approximately 5738 infected people died (the
rhombus P) after to correlate this curve with the
curves of other countries (Italy, Russia and Spain),
it was obtained the estimation that was depicted by
the red colour curve (around 35000 died people
The Biologist (Lima). Vol. 19, Nº1, jan - jun 2021
Calderón-Chavarri et al.
27
until the day number 300).
The yellow colour rhombus represents the number
of the deceased people since the infection started in
Spain until the day number 109. Until that day,
approximately 27136 infected people died (the
rhombus S) after to correlate this curve with the
curves of other countries (Italy, Russia and Peru), it
was obtained the estimation that was depicted by
the yellow colour curve (around 29000 died people
until the day number 300).
The green colour rhombus represents the number
of the deceased people since the infection started in
Italy until the day number 132. Until that day,
approximately 33964 infected people died (the
rhombus S) after to correlate this curve with the
curves of other countries (Spain, Russia and Peru),
it was obtained the estimation that as depicted by
the green colour curve (around 37000 died people
until the day number 300).
It is necessary to analyse that the designed
algorithm estimated the effect of the increasing
number of infected people as the consequence of
the number of deceased people. Nevertheless, it is
predicted that it cannot be a significant cause to
make changes as it is shown in Figure 7.
It is proposed to study the dynamic of COVID-19
in every country as a polynomial model that can be
correlated each other according to optimize
prediction answers, there is no mathematical model
that adapts to the predictions such as the number of
infected people and the quantity of deceased people
(Kruse & Alkhushayni, 2020; Kucharski et al.,
2020; Marmarelis, 2020; Ping, 2020; Rustam et al.,
2020; Trigger & Czerniawski, 2020; Wang et al.,
2020; Yuankang et al., 2020). Hence, every
adaptive coefficients of matrix can be translated as
interchanging information between every country,
regarding to share many details and steps that could
deal with this pandemic. A good solution could be
to impose radical procedures to the population as
the dependence on researching immunity of
people. However, humans are not predictive
variables due to tests statistical methodologies that
is the reason, why in this research it is proposed
DISCUSSION
interchanging solutions between countries owing
to this pandemic is a world task now.
It is suggested to increase analysis by many
variables, such as the number of infected people by
different regions in Peru. Moreover, it is necessary
to compare curves with other countries results,
which crossed COVID-19 or which are under this
task too. The effect of external variables
(population parameters) helps to foresee an
economical effect in Peru, owing to the correlation
among the economy and the health can warrant
successful control in this epidemic situation.
It is expected to expand this research according to
study the consequences of this pandemic, through
correlating dynamics in economy, public health
and education from many countries around the
world dealing with this virus.
It is dedicated special gratitude to Hugo Medina,
because of his teachings in Science Physics for
many different generations of engineers, he did and
he makes that physics laws could be so easy to get
understanding of nature and current life, such as for
this research. With a very good base of laws of
nature, it was possible to obtain a fundament to
correlate advanced mathematics with the
formalism that engineering applications always
need. Even though Peru was not prepared to be face
to face against a big epidemic, but it was found the
answer from many researchers (read bellow), who
supported with their points of view, suggestions
and analysis discussions to finish this research,
which is waiting to be useful for the responsible
people, who have the task to organize priority of
activities. Because humans need to return to solve
tasks with much attention in physical parameters
and with caring much distance separations, room
temperature, room humidity, airflow and airspeed
between them. Therefore, it is expressed deep
warm thanks to Willy Gamboa, Christian Gozar,
Broni Huamaní, Alexánder Zutta, Leslie Vargas
and Lilian Gamarra, because of their suggestions
and opinions to analyze the consequences of this
research. It is expressed thankfulness to medical
doctors from the Health Center of PUCP, because
of their time to give suggestions in the development
ACKNOWLEDGMENT
The Biologist (Lima). Vol. 19, Nº1, jan - jun 2021
Predictive algorithm or optimal preventions of COVID-19
28
of this research. It is expressed thankfulness to
students of the lecture Nanotechnology MTR609,
Mechatronic Master Program, PUCP: G. Alvarado,
N. Azambuja, M. Chávez, I. Loayza, and M.J.
Romero, because of their opinions and suggestions
to analyse the consequence of this research.
BIBLIOGRAPHIC REFERENCES
Bouchnita, A. & Jebrane, A. 2020. A hybrid multi-
scale model of COVID 19 transmission
dynamics to assess the potential of non-
pharmaceutical interventions. Chaos,
Solitons & Fractals, 138: 109941.
Chen, Y.; Lu, P.; Chang, C. & Liu, T. 2020. A Time-
dependent SIR model for COVID-19 with
undetectable infected persons. IEEE
Transactions on Network Science and
E n g i n e e r i n g , 1 : d o i :
10.1109/TNSE.2020.3024723
Chowell, G.; Sattenspiel, L; Bansal, S. & Viboud,
C. 2016. Mathematical models to
characterize early epidemic growth: A
Review. Physics of Life Reviews, 18: 66-
97.
Coronavirus en el Perú. (2020,03,06). Diario El
C o m e r c i o . R e t r i e v e d f r o m
https://elcomercio.pe/peru/coronavirus-en-
peru-martin-vizcarra-confirma-primer-
caso-del-covid-19-en-el-pais-nndc-
noticia/?ref=ecr
De Falco, I.; Della-Cioppa, A.; Scafuri, U. &
Tarantino, E. 2020. Coronavirus COVID-19
spreading in Italy: optimizing an
epidemiological model with dynamic social
distancing through Differential Evolution.
R e t r i e v e d f r o m
http://arxiv.org/abs/2004.00553v3.
El Peruano. 2020. D. S. No 044-2020-PCM. Que
declara Estado de Emergencia Nacional por
las graves circunstancias que afectan la vida
de la Nación a consecuencia del brote del
COVID-19 Diario oficial del bicentenario
El Peruano (2020). Retrieved from
https://busquedas.elperuano.pe/normaslega
les/decreto-supremo-que-declara-estado-
de-emergencia-nacional-po-decreto-
supremo-n-044-2020-pcm-1864948-2/
Fang, Z.; Huang, Z.; Li, X.; Zhang, J.; Lv, W.;
Zhuang, L.; Xu, X & Huang, N. 2020. How
many infections of COVID-19 there will be
in the “Diamond Princess”-Predicted by a
virus transmission model based on the
simulation of crowd flow. Retrieved from
http://arxiv.org/abs/2002.10616
Kruse, R. & Alkhushayni, S. 2020. Identifying
regional COVID-19 presence early with
time series analysis. IOP SciNotes, 1:
024003.
Kucharski, A.; Russell, T.; Diamond, C.; Liu, Y.;
Edmunds, J.; Funk, S. & Eggo, R. 2020.
Early dynamics of transmission and control
of COVID-19: a mathematical modelling
study. The Lancet: Infectious diseases, 20:
553-558.
Marmarelis, V. 2020. Predictive modeling of
Covid-19 data in the US: Adaptive phase-
space approach. IEEE Open Journal of
Engineering in Medicine and Biology, 1:
doi: 10.1109/OJEMB.2020.3008313.
Pearson, A. 1979. Nonlinear system identification
with limited time data. Automatica, 15: 73-
84.
Ping, H. 2020. Study on epidemic prevention and
control strategy of COVID -19 based on
pe r so nn e l flo w pre d ic ti o n. 20 20
International Conference on Urban
Engineering and Management Science
(ICUEMS), 1: 688-691.
Rustam, F.; Reshi, A.; Mehmood, A.; Ullah, S.; On,
B.; Aslam, W. & Choi, G. 2020. COVID-19
Future Forecasting Using Supervised
Machine Learning Models. IEEE Access, 8:
101489-101499.
Trigger, S. & Czerniawski, E. 2020. Equation for
epidemic spread with the quarantine
measures: application to COVID-19.
Physica Scripta, 95:105001.
Wang, Z.; Shi, Y. & Xie, J. 2020. Application of
Logistic Model in COVID-19. Journal of
Physics: Conference Series, 1634: 012049.
Yuankang, Z.; Yi, H. & Xiaosong, Z. 2020.
COVID-19 Outbreak Prediction Based on
th
SEIQR Model. 2020 39 Chinese Control
Conference (CCC), 1: 1133-1137.
Received July 22, 2020.
Accepted December 31, 2020.
The Biologist (Lima). Vol. 19, Nº1, jan - jun 2021
Calderón-Chavarri et al.