چکیده

Nowadays, the spread of COVID-19 diseases is horrible and dangerous phenomena occurred in all of the world and so many scientists and researchers have been interested to investigate it to consider the effect of health system. In the present research work, we study some useful mathematical models such as SIR, SIS, SIRD, SIRS and etc. By analyzing equilibria and their stability, one is able to predict and control the said diseases. Considering some parameters, we are able to find out policy of control the spread of the said disease. Basic reproduction number is an important indicator for the future of the disease of COVID-19 which is pandemic. Moreover, we found out the basic reproduction number R0 for epidemic model and finally, we analyze the stability which shows that the free steady state is locally stable when the basic reproduction number R0 is less than unity and unstable when R0>1.

کليدواژه ها

Stability, Basic reproduction number, SIR model, Epidemic, COVID-19.

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محمدحسین رحمانی دوست , 1400 , مطالعه ی پایداری و عدد تکثیر پایه ای برای یک مدل اپیدمیک SEIR کووید-19 , نخستین همایش بین المللی و سومین همایش ملی ریاضیات زیستی