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Dynamical analysis, stability and discretization of fractional-order predator-prey model with negative feedback on two species | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 12، شماره 2، بهمن 2021، صفحه 729-741 اصل مقاله (643.8 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2020.19764.2099 | ||
| نویسندگان | ||
| Alireza Vahidi* 1؛ Esmail Babolian2؛ Nader Biranvand3 | ||
| 1Dep. of Applied Mathematics, Yadegar-e-Imam Khomeini (RAH), Shahr-rey Branch, Islamic Azad University, Tehran, Iran. | ||
| 2Faculty of Mathematical Sciences and Computer, Kharazmi University, Tehran, Iran | ||
| 3Dep. of Applied Mathematics, Yadegar-e-Imam Khomeini (RAH), Shahr-rey Branch, Islamic Azad University, Tehran, Iran. | ||
| تاریخ دریافت: 20 بهمن 1398، تاریخ بازنگری: 02 خرداد 1399، تاریخ پذیرش: 04 خرداد 1399 | ||
| چکیده | ||
| The Lotka-Volterra model is an important model being employed in biological phenomena to investigate the nonlinear interaction among existing species. In this work, we first consider an integer order predator-prey model with negative feedback on both prey and predator. Then by introducing a fractional model into the existing one, we give them a specified memory. We also obtain its discretized counterpart. Finally, along with giving the biological interpretation of the system, the stability and dynamical analysis of the proposed model are investigated and the results are illustrated as well. | ||
| کلیدواژه‌ها | ||
| Fractional Calculus؛ Predator-prey؛ Lotka-Volterra, Stability؛ Discretization | ||
| مراجع | ||
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