Vahidi, Alireza, Babolian, Esmail, Biranvand, Nader. (1400). Dynamical analysis, stability and discretization of fractional-order predator-prey model with negative feedback on two species. هنرهای کاربردی, 12(2), 729-741. doi: 10.22075/ijnaa.2020.19764.2099
Alireza Vahidi; Esmail Babolian; Nader Biranvand. "Dynamical analysis, stability and discretization of fractional-order predator-prey model with negative feedback on two species". هنرهای کاربردی, 12, 2, 1400, 729-741. doi: 10.22075/ijnaa.2020.19764.2099
Vahidi, Alireza, Babolian, Esmail, Biranvand, Nader. (1400). 'Dynamical analysis, stability and discretization of fractional-order predator-prey model with negative feedback on two species', هنرهای کاربردی, 12(2), pp. 729-741. doi: 10.22075/ijnaa.2020.19764.2099
Vahidi, Alireza, Babolian, Esmail, Biranvand, Nader. Dynamical analysis, stability and discretization of fractional-order predator-prey model with negative feedback on two species. هنرهای کاربردی, 1400; 12(2): 729-741. doi: 10.22075/ijnaa.2020.19764.2099

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.
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
آمار
تعداد مشاهده مقاله: 16,303
تعداد دریافت فایل اصل مقاله: 9,876
دانشگاه سمنان
پیوندهای مفید
آمار
تعداد نشریات22
تعداد شماره‌ها720
تعداد مقالات10,356
تعداد مشاهده مقاله72,718,447
تعداد دریافت فایل اصل مقاله64,346,329