نویسندگان | Amir Hossein Amiri Mehra,zohreh abbasi,Iman Zamani |
---|---|
همایش | 29th Iranian Conference on Electrical Engineering (ICEE 2021) |
تاریخ برگزاری همایش | 2021 |
محل برگزاری همایش | 1 - تهران |
ارائه به نام دانشگاه | امیرکبیر |
نوع ارائه | سخنرانی |
سطح همایش | بین المللی |
چکیده مقاله
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 (R0) 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.
کلید واژه ها: Epidemic Model, Switched Systems, COVID-19, Stability Analysis.