Almost periodic positive solutions for a time-delayed SIR epidemic model with saturated treatment on time scales
محل انتشار: مجله مدلسازی ریاضی، دوره: 9، شماره: 1
سال انتشار: 1400
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 102
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شناسه ملی سند علمی:
JR_JMMO-9-1_004
تاریخ نمایه سازی: 19 خرداد 1403
چکیده مقاله:
In this paper, we study a non-autonomous time-delayed SIR epidemic model which involves almost periodic incidence rate and saturated treatment function on time scales. By utilizing some dynamic inequalities on time scales, sufficient conditions are derived for the permanence of the SIR epidemic model and we also obtain the existence and uniform asymptotic stability of almost periodic positive solutions for the addressed SIR model by Lyapunov functional method. Finally numerical simulations are given to demonstrate our theoretical results.
کلیدواژه ها:
SIR model ، time scale ، almost periodic incidence rate ، almost periodic positive solution ، permanence ، uniform asymptotic stability
نویسندگان
Kapula Rajendra Prasad
College of Science and Technology, Department of Applied Mathematics, Andhra University, Visakhapatnam, India-۵۳۰۰۰۳
Mahammad Khuddush
College of Science and Technology, Department of Applied Mathematics, Andhra University, Visakhapatnam, India-۵۳۰۰۰۳
Kuparala Venkata Vidyasagar
College of Science and Technology, Department of Applied Mathematics, Andhra University, Visakhapatnam, India-۵۳۰۰۰۳ and Department of Mathematics, Government Degree College for Women, Marripalem, Koyyuru Mandal, Visakhapatnam, India-۵۳۱۱۱۶