PARAMETERS ESTIMATION FOR COVID-19 PANDEMIC MODEL DESCRIBED BY ORDINARY AND FRACTIONAL DIFFERENTIAL EQUATIONS
DOI:
https://doi.org/10.24867/11BE06StokanovicKeywords:
COVID-19, SIR model, mathematical model, parameters estimation, fraction calculusAbstract
The topic of this paper is parameters estimation of epidemiological SIR model described by ordinary and fractional differential equations.The purpose of this thesis is mathematical modeling and COVID-19 parameters estimation which were caused by the SARS-COV2 virus. Methods that are used for parameters estimation are linear regression and PSO algorithm.
References
[1] „WHO Coronavirus Disease (COVID-19) Dashboard, https://covid19.who.int/
[2] „Coronavirus-World Health Organisation”, https://www.who.int/health-topics/coronavirus
[3] William Ogilvy Kermack, Anderson Gray McKendrick, „Contributions to the mathematical theory of epidemics - I", Bulletin of Mathematical Biology, 1927.
[4] „Worldometer COVID-19 CORONAVIRUS PANDEMIC” https://www.worldometers.info/coronavirus/
[5] Aleksandar Erdeljan, Darko Čapko, „Modelovanje i simulacija sistema: sa primerima", Fakultet tehničkih nauka, Novi Sad, 2015.,
[6] Vladimir Crnojević, „Prepoznavanje oblika za inženjere", Fakultet tehničkih nauka, Novi Sad, 2014.
[7] Željko Kanović, Zoran Jeličić, Milan Rapaić, „Evolutivni optimizacioni algoritmi u inženjerskoj praksi", Fakultet tehničkih nauka, Novi Sad, 2017.
[8] Zoran Jeličić, Nebojša Petovački, „Optimality conditions and a solution scheme for fractiona optimal control problems", Springer, Verlag, 2008.
[2] „Coronavirus-World Health Organisation”, https://www.who.int/health-topics/coronavirus
[3] William Ogilvy Kermack, Anderson Gray McKendrick, „Contributions to the mathematical theory of epidemics - I", Bulletin of Mathematical Biology, 1927.
[4] „Worldometer COVID-19 CORONAVIRUS PANDEMIC” https://www.worldometers.info/coronavirus/
[5] Aleksandar Erdeljan, Darko Čapko, „Modelovanje i simulacija sistema: sa primerima", Fakultet tehničkih nauka, Novi Sad, 2015.,
[6] Vladimir Crnojević, „Prepoznavanje oblika za inženjere", Fakultet tehničkih nauka, Novi Sad, 2014.
[7] Željko Kanović, Zoran Jeličić, Milan Rapaić, „Evolutivni optimizacioni algoritmi u inženjerskoj praksi", Fakultet tehničkih nauka, Novi Sad, 2017.
[8] Zoran Jeličić, Nebojša Petovački, „Optimality conditions and a solution scheme for fractiona optimal control problems", Springer, Verlag, 2008.
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Published
2020-12-23
Issue
Section
Electrotechnical and Computer Engineering
