Mathematical modeling of the migration's effect and analysis of the spreading of a cholera epidemic
محل انتشار: مجله مدلسازی ریاضی، دوره: 6، شماره: 2
سال انتشار: 1397
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 49
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شناسه ملی سند علمی:
JR_JMMO-6-2_004
تاریخ نمایه سازی: 19 خرداد 1403
چکیده مقاله:
We propound a mathematical modeling of the migration's effect on the size of any population dynamic from a site of a heterogeneous space \Omega\subset \textbf{R}^{d}, d=۱,۲,\ldots. The obtained model is afterwards added at SIR model including the dynamics of the bacteria and some control parameters to model the spreading of a cholera epidemic which occurs in \Omega. The formulated model is given by a system of four parabolic partial differential equations. Existence and stability of equilibria, Turing's instability and optimal control problem of this model are studied. We finish with a real-world application in which we apply the model specifically to the cholera epidemic that took place in Cameroon in ۲۰۱۱.
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نویسندگان
Eric Kokomo
Department of Mathematics, Faculty of Science, Laboratory of Mathematics and Fundamental Applications, P.O. Box ۸۱۲ Yaounde, University of Yaounde I, Cameroon and African Center of Excellence in Technologies, Information and Communication (CETIC)
Yves Emvudu
Department of Mathematics, Faculty of Science, Laboratory of Mathematics and Fundamental Applications, P.O. Box ۸۱۲ Yaounde, University of Yaounde I, Cameroon and African Center of Excellence in Technologies, Information and Communication (CETIC)