کنفرانس مهندسی برق ایران

صفحه اصلی / بیست و نهمین کنفرانس مهندسی برق ایران

Stability Analysis of a New Switched SEIAR-Vac-Iso Epidemic Model for the COVID-19

نویسندگان :

Amir Hossein Amiri Mehra¹ Mohsen Shafieirad² Zohreh Abbasi³ Iman Zamani⁴

1- دانشگاه کاشان 2- دانشگاه کاشان 3- دانشگاه کاشان 4- شاهد تهران

کلمات کلیدی :

Epidemic Model, Switched Systems, COVID-19, Stability Analysis

چکیده :

In this paper, a new switched SEIAR-Vac-Iso (Susceptible, Exposed, Infected, Asymptomatic, Recovered, Vaccinated, Isolated) epidemic model is introduced and investigated with application to COVID-19 for the first time. Two theorems concerning the positivity and boundedness of the solutions are proved. Then, the basic reproduction number (R_0) and the equilibrium points of the new model are calculated. The stability of the switched system is also investigated by developing a Lyapunov function and using the switching invariance principle, then the stability conditions of the systems are obtained. Numerical simulations are presented to verify the accuracy of theoretical results.