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Modelling the influence of prey switching and optimal foraging on the control of banana weevil Cosmopolites Sordidus (Germar) | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 77، دوره 13، شماره 1، خرداد 2022، صفحه 937-954 اصل مقاله (474.98 K) | ||
| نوع مقاله: Review articles | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.20119.2127 | ||
| نویسندگان | ||
| Eliab Horub Kweyunga* 1؛ Julius Tumwiine1؛ Eldad Karamura2 | ||
| 1Department of Mathematics, Mbarara University of Science and Technology, P.O.Box 1410, Mbarara, Uganda. | ||
| 2Bioversity International-Uganda, P.O.Box 24384, Naguru, Kampala, Uganda. | ||
| تاریخ دریافت: 12 فروردین 1399، تاریخ پذیرش: 17 شهریور 1400 | ||
| چکیده | ||
| A mathematical model for the control of the banana weevil Cosmopolites Sordidus (Germar) by predatory ant species is formulated and analyzed. The model incorporates predator switching to a non-dynamic alternative food source, optimal foraging theory and self regulation in both the banana weevil and predatory-ant species! Using Lyapunov's first method, the local stability of the equilibria is established. Furthermore, conditions for the existence of the interior equilibrium are derived and its global stability established by the Bendixson--Dulac criterion with periodic orbits ruled out by the Poincare--Bendixson theorem. It is determined that intrinsic growth rates and carrying capacities rather than handling time and nutritional value have significant impact on the banana weevils-- predatory ant interaction. Numerical simulations confirm the theoretical results. | ||
| کلیدواژهها | ||
| Alternative food؛ banana weevil؛ biological control؛ global stability؛ prey switching؛ optimal foraging | ||
| مراجع | ||
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