STABILIZING THE SYSTEM IN THE PROBLEM OF EPIDEMIC SPREAD LIMITED TIME OF IMMUNIZATION


Serovajsky S. Turar O. Imankulov T. Azimov A.
2023Jomard Publishing

Advanced Mathematical Models and Applications
2023#8Issue 2176 - 184 pp.

A mathematical model of the epidemic development under conditions of limited work of immunization acquired both after recovery and through vaccination is considered. The model is characterized by a nonlinear system of differential equations with some equilibrium position. Based on numerical analysis, it is shown that the state of the system stabilizes after some time and tends to a state that is the equilibrium position not of the original, but of some simplified system. The results obtained have a natural interpretation.

Continuous , Epidemic , Mathematical model , Stabilization

Text of the article Перейти на текст статьи

Al-Farabi, Kazakha National University, Almaty, Kazakhstan
Astana IT University, Astana, Kazakhstan
Satbayev University, Almaty, Kazakhstan

Al-Farabi
Astana IT University
Satbayev University

10 лет помогаем публиковать статьи Международный издатель

Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026