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Romero-Ordoñez, Marco, Pérez-Núñez, Jhelly, Pino-Romero, Neisser. (1404). Analysis of a May-Holling-Tanner rate-dependent predator-prey model with an alternative food source for the predator with a weak Allee effect for the prey. فیزیولوژی و بیوتکنولوژی آبزیان, 13(2), 302-325. doi: 10.22124/jmm.2024.27529.2424
Marco Antonio Romero-Ordoñez; Jhelly Reynaluz Pérez-Núñez; Neisser Pino-Romero. "Analysis of a May-Holling-Tanner rate-dependent predator-prey model with an alternative food source for the predator with a weak Allee effect for the prey". فیزیولوژی و بیوتکنولوژی آبزیان, 13, 2, 1404, 302-325. doi: 10.22124/jmm.2024.27529.2424
Romero-Ordoñez, Marco, Pérez-Núñez, Jhelly, Pino-Romero, Neisser. (1404). 'Analysis of a May-Holling-Tanner rate-dependent predator-prey model with an alternative food source for the predator with a weak Allee effect for the prey', فیزیولوژی و بیوتکنولوژی آبزیان, 13(2), pp. 302-325. doi: 10.22124/jmm.2024.27529.2424
Romero-Ordoñez, Marco, Pérez-Núñez, Jhelly, Pino-Romero, Neisser. Analysis of a May-Holling-Tanner rate-dependent predator-prey model with an alternative food source for the predator with a weak Allee effect for the prey. فیزیولوژی و بیوتکنولوژی آبزیان, 1404; 13(2): 302-325. doi: 10.22124/jmm.2024.27529.2424

Analysis of a May-Holling-Tanner rate-dependent predator-prey model with an alternative food source for the predator with a weak Allee effect for the prey

Journal of Mathematical Modeling
مقاله 5، دوره 13، شماره 2، مرداد 2025، صفحه 302-325    اصل مقاله (344.42 K)
نوع مقاله: Research Article
شناسه دیجیتال (DOI): 10.22124/jmm.2024.27529.2424
نویسندگان
Marco Antonio Romero-Ordoñez* 1؛ Jhelly Reynaluz Pérez-Núñez2؛ Neisser Pino-Romero3
1Departamento Académico de Matemáticas, Facultad de Ciencias Matemáticas, Universidad Nacional Mayor de San Marcos, Lima, Perú
2Departamento Académico de Matematicas, Facultad de Ciencias Matematicas, Universidad Nacional Mayor de San Marcos, Lima, Perú
3Departamento Académico de Ciencias Exactas, Facultad de Ciencias e Ingeniería, Universidad Peruana Cayetano Heredia, Lima, Perú
چکیده
In this study, a May-Holling-Tanner-type mathematical model of the predator-prey interaction is analyzed, incorporating an alternative food source for the predator and a weak Allee effect on the prey population. The model is described using a two-dimensional system of ordinary differential equations. The existence, uniqueness, and positivity of the solutions were investigated, ensuring that the populations were maintained at biologically meaningful values. Furthermore, local and global stability conditions at critical points suitable for ecological equilibrium are explored using tools such as the generalized Krasovskii theorem. Likewise, the existence of periodic solutions in certain scenarios is based on the Dulac criterion. Finally, a numerical analysis using Python simulations is performed to corroborate the theoretical results, highlighting the asymptotic stability of the populations under certain initial and parameter conditions.
کلیدواژه‌ها
Mathematical Ecology؛ Weak Allee Efect؛ LaSalle؛ Generalized krasovskii؛ Dulac's criterion
آمار
تعداد مشاهده مقاله: 99
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