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Stability analysis of a diseased Prey - Predator - Scavenger system incorporating migration and competition | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 12، شماره 2، بهمن 2021، صفحه 1827-1853 اصل مقاله (1000.25 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.5320 | ||
| نویسندگان | ||
| Marwah Ali Yousif* 1؛ Hassan Fadhil Al-Husseiny2 | ||
| 1Department of Mathematics, College of Science, University of Baghdad, Baghdad-Iraq | ||
| 2Department of Mathematics, College of Science, Baghdad University, Baghdad, Iraq | ||
| تاریخ دریافت: 19 اسفند 1399، تاریخ بازنگری: 06 خرداد 1400، تاریخ پذیرش: 19 تیر 1400 | ||
| چکیده | ||
| In this paper, a prey-predator-scavenger model is proposed and analyzed. It is assumed that the model considered the effect of disease on the prey. Firstly, the existence, uniqueness and boundedness of the solution of the model are discussed. Secondly, we studied the existence and local stability of all equilibrium points. Furthermore, some of the Sufficient conditions of the global stability of the positive equilibrium are established using suitable Lyapunov functions. Finally, those theoretical results are demonstrated with numerical simulations. | ||
| کلیدواژهها | ||
| prey-predetor-scavenger model؛ stability analysis؛ migrations | ||
| مراجع | ||
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