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Prasad, Kapula Rajendra, Khuddush, Mahammad, Vidyasagar, Kuparala Venkata. (1399). Almost periodic positive solutions for a time-delayed SIR epidemic model with saturated treatment on time scales. فیزیولوژی و بیوتکنولوژی آبزیان, 9(1), 45-60. doi: 10.22124/jmm.2020.16271.1420
Kapula Rajendra Prasad; Mahammad Khuddush; Kuparala Venkata Vidyasagar. "Almost periodic positive solutions for a time-delayed SIR epidemic model with saturated treatment on time scales". فیزیولوژی و بیوتکنولوژی آبزیان, 9, 1, 1399, 45-60. doi: 10.22124/jmm.2020.16271.1420
Prasad, Kapula Rajendra, Khuddush, Mahammad, Vidyasagar, Kuparala Venkata. (1399). 'Almost periodic positive solutions for a time-delayed SIR epidemic model with saturated treatment on time scales', فیزیولوژی و بیوتکنولوژی آبزیان, 9(1), pp. 45-60. doi: 10.22124/jmm.2020.16271.1420
Prasad, Kapula Rajendra, Khuddush, Mahammad, Vidyasagar, Kuparala Venkata. Almost periodic positive solutions for a time-delayed SIR epidemic model with saturated treatment on time scales. فیزیولوژی و بیوتکنولوژی آبزیان, 1399; 9(1): 45-60. doi: 10.22124/jmm.2020.16271.1420

Almost periodic positive solutions for a time-delayed SIR epidemic model with saturated treatment on time scales

Journal of Mathematical Modeling
دوره 9، شماره 1، فروردین 2021، صفحه 45-60    اصل مقاله (569.43 K)
نوع مقاله: Research Article
شناسه دیجیتال (DOI): 10.22124/jmm.2020.16271.1420
نویسندگان
Kapula Rajendra Prasad1؛ Mahammad Khuddush* 1؛ Kuparala Venkata Vidyasagar2
1College of Science and Technology, Department of Applied Mathematics, Andhra University, Visakhapatnam, India-530003
2College of Science and Technology, Department of Applied Mathematics, Andhra University, Visakhapatnam, India-530003 and Department of Mathematics, Government Degree College for Women, Marripalem, Koyyuru Mandal, Visakhapatnam, India-531116
چکیده
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.
کلیدواژه‌ها
SIR model؛ time scale؛ almost periodic incidence rate؛ almost periodic positive solution؛ permanence؛ uniform asymptotic stability
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