Stability Analysis and Optimal Control of Vaccination and Treatment of a SIR Epidemiological Deterministic Model with Relapse
سال انتشار: 1397
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 121
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شناسه ملی سند علمی:
JR_IJMAC-8-1_004
تاریخ نمایه سازی: 28 دی 1401
چکیده مقاله:
In this paper, we studied and formulated the relapsed SIR model of a constant size population with standard incidence rate. Also, the optimal control problem with treatment and vaccination as controls, subject to the model is formulated. The analysis carried out on the model, clearly showed that the infection free steady state is globally asymptotically stable if the basic reproduction number is less than unity, and the endemic steady state, also, is globally asymptotically stable if the basic reproduction number (R۰) is greater than unity. The results obtained from the simulations were analyzed and discussed.
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نویسندگان
Sunday Fadugba
Department of Mathematics, Faculty of Science, Ekiti State University, Nigeria
Temitope Ogunlade
Department of Mathematics, Ekiti-State University (EKSU), Ado-Ekiti. Ekiti-State, Nigeria
Oluwatayo Ogunmiloro
Department of Mathematics, Faculty of Science, Ekiti State University, Nigeria