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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 Mehra
1
Mohsen Shafieirad
2
Zohreh Abbasi
3
Iman Zamani
4
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.
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بیشتر
ثمین همایش، سامانه مدیریت کنفرانس ها و جشنواره ها - نگارش 43.6.0
