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On the dynamical behavior of an Eco-Epidemiological model | ||
International Journal of Nonlinear Analysis and Applications | ||
دوره 12، شماره 2، بهمن 2021، صفحه 1749-1767 اصل مقاله (663.8 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.5314 | ||
نویسنده | ||
Hiba Abdullah Ibrahim* | ||
Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq | ||
تاریخ دریافت: 03 فروردین 1400، تاریخ بازنگری: 26 خرداد 1400، تاریخ پذیرش: 10 تیر 1400 | ||
چکیده | ||
The aim of this article is to study the dynamical behavior of an eco-epidemiological model. A prey-predator model comprising infectious disease in prey species and stage structure in predator species is suggested and studied. Presumed that the prey species growing logistically in the absence of predator and the ferocity process happened by Lotka-Volterra functional response. The existence, uniqueness, and boundedness of the solution of the model are investigated. The stability constraints of all equilibrium points are determined. The constraints of persistence of the model are established. The local bifurcation near every equilibrium point is analyzed. The global dynamics of the model are investigated numerically and confronted with the obtained outcomes. | ||
کلیدواژهها | ||
Prey-predator؛ Disease؛ Stage-structure؛ Stability؛ Bifurcation | ||
مراجع | ||
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