Nonlinear Mathematical Models Describing The Initial Stage Of Sars-CoV-2 Virus Spread

Main Article Content

Temur Chilachava
Linda Khukhua

Abstract

The paper discusses new mathematical models that describe the early stages of the spread of the SARS-CoV-2 virus. The first model considers two groups of people: without healthy immunity and asymptomatic infected. The second model considers three groups of people: without healthy immunity, asymptomatic infected and detected infected.


In the first model, the infectivity variable coefficient is taken as a linear incremental function of two unknown function variables. The first integral has been obtained. The Cauchy’s problem is solved analytically exactly. In the second model, in the case of constant infection coefficients, the first two integrals of a three-dimensional dynamic system have been found and the problem is reduced to the Cauchy’s problem for one unknown function.

Keywords:
SARS-CoV-2 Virus, Mathematical models, Cauchy’s problems
Published: Nov 21, 2021

Article Details

How to Cite
Chilachava, T., & Khukhua, L. (2021). Nonlinear Mathematical Models Describing The Initial Stage Of Sars-CoV-2 Virus Spread. Proceedings of Tskhum-Abkhazian Academy of Sciences, 21, 179–185. Retrieved from https://proceedings.taas.ge/index.php/taas/article/view/5449
Section
Applied Mathematics
Author Biographies

Temur Chilachava, Sokhumi State University

President of Tskhum-Abkhazian Academy of Sciences

Doctor of Physical and Mathematical Sciences

Sokhumi State University, Professor

E-mail: temo_chilachava@yahoo.com

Linda Khukhua, Sokhumi State University

Doctoral Student of Sokhumi State University

E-mail: xuxualinda7@gmail.com