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International Journal of Nonlinear Analysis and Applications، جلد ۱۳، شماره ۱، صفحات ۱۸۵-۱۹۵

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عنوان انگلیسی Mathematical optimization modeling for estimating the incidence of clinical diseases
چکیده انگلیسی مقاله The notion that infectious disease transmission and dissemination are governed by rules that may be expressed mathematically is not new. In fact, the nonlinear dynamics of infectious illness transmission were only fully recognized in the twentieth century. However, with the Coronavirus outbreak, there is a lot of discussion and study regarding the origin of the epidemic and how it spreads before all vulnerable people are infected, as well as ideas about how the disease virulence changes during the epidemic. In this paper, we provide some critical mathematical models which are SIR and SIS and their differences in approach for the interpretation and transmission of viruses and other epidemics as well as formulate the optimal control problem with vaccinations.
کلیدواژه‌های انگلیسی مقاله Mathematical modeling, SIR Model, SIS Model, Epidemiology&apos,s threshold theorem, the optimal control problem with vaccinations

نویسندگان مقاله Mazin Kareem Kadhim |
Department of Mathematics Science, Ministry of Education, Babylon, Iraq

Fadhil Abdalhasan Wahbi |
Department of Mathematics Science, Ministry of Education, Babylon, Iraq

Ahmed Hasan Alridha |
Department of Mathematics Science, Ministry of Education, Babylon, Iraq


نشانی اینترنتی https://ijnaa.semnan.ac.ir/article_5470_65a5bc8225fef3ee1b2530db0e14aa8f.pdf
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