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The bifurcation analysis of an epidemiological model involving two diseases in predator | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 182، دوره 13، شماره 1، خرداد 2022، صفحه 2195-2217 اصل مقاله (629.89 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.5915 | ||
| نویسندگان | ||
| Atheer Jawad Kadhim* 1؛ Azhar A. Majeed2 | ||
| 1Department of Applied Science, University of Technology, Iraq | ||
| 2Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq | ||
| تاریخ دریافت: 15 آبان 1400، تاریخ بازنگری: 25 آبان 1400، تاریخ پذیرش: 09 آذر 1400 | ||
| چکیده | ||
| In this paper, the local bifurcation conditions that occur near each of the equilibrium points of the eco-epidemiological system of one prey population apparition with two diseases in the same population of predator have been studied and analyzed, near $E_1,E_2,E_3,E_4$ and $E_5$, a transcritical bifurcation can occur, a saddle-node bifurcation happened near $E_5$. Pitchfork bifurcation was occurrences at $E_2,E_3,E_4$ and $E_5$. Moreover conditions for Hopf- bifurcation was studied near both of one disease stable point $E_3, E_4$ and $E_5$ . About elucidation of the status of local bifurcation the associated of the set of hypothetical parameters with numerical results which assert our analytical results of this model. | ||
| کلیدواژه‌ها | ||
| Eco-epidemiological model؛ Local bifurcation؛ Hopf-bifurcation؛ SIS disease؛ SI disease؛ Sotomayor's theorem | ||
| مراجع | ||
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