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Magudeeswaran, S., Vinoth, S., Sathiyanathan, K., Chaisena, Kantapon. (1401). Fear effect on a delayed intraguild predation model with the ratio-dependent functional response. هنرهای کاربردی, 14(1), 927-940. doi: 10.22075/ijnaa.2022.27109.3502
S. Magudeeswaran; S. Vinoth; K. Sathiyanathan; Kantapon Chaisena. "Fear effect on a delayed intraguild predation model with the ratio-dependent functional response". هنرهای کاربردی, 14, 1, 1401, 927-940. doi: 10.22075/ijnaa.2022.27109.3502
Magudeeswaran, S., Vinoth, S., Sathiyanathan, K., Chaisena, Kantapon. (1401). 'Fear effect on a delayed intraguild predation model with the ratio-dependent functional response', هنرهای کاربردی, 14(1), pp. 927-940. doi: 10.22075/ijnaa.2022.27109.3502
Magudeeswaran, S., Vinoth, S., Sathiyanathan, K., Chaisena, Kantapon. Fear effect on a delayed intraguild predation model with the ratio-dependent functional response. هنرهای کاربردی, 1401; 14(1): 927-940. doi: 10.22075/ijnaa.2022.27109.3502

Fear effect on a delayed intraguild predation model with the ratio-dependent functional response

International Journal of Nonlinear Analysis and Applications
مقاله 71، دوره 14، شماره 1، فروردین 2023، صفحه 927-940    اصل مقاله (3.48 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.27109.3502
نویسندگان
S. Magudeeswaran1؛ S. Vinoth* 2؛ K. Sathiyanathan3؛ Kantapon Chaisena4
1Department of Mathematics, Sree Saraswathi Thyagaraja College, Coimbatore, 642107, Tamilnadu, India
2Department of Computer Science, KGiSL Institute of Information Management, Coimbatore 641035, Tamilnadu, India
3Department of Mathematics, SRMV College of Arts and Science, Coimbatore 641020, Tamilnadu, India
4Department of Mathematics, Phuket Rajabhat University, Phuket, 83000, Thailand
تاریخ دریافت: 18 اردیبهشت 1401،  تاریخ بازنگری: 04 مرداد 1401،  تاریخ پذیرش: 05 شهریور 1401 
چکیده
In this work, we explore the consequences of fear and time delay on the intraguild predation model. Also, the predator consumes its prey in the form of a ratio-dependent type of interaction. We consider the fear in the prey population and the gestation effect on the predator population. We analyze the existence and the local stability of the proposed model without delay near all non-negative equilibrium points. Furthermore, by taking the fear parameter, the condition to satisfy the existence of Hopf-bifurcation near the coexisting equilibrium is derived. Moreover, we also examine the local stability property and Hopf-bifurcation investigation for the corresponding model in the presence of time delay. Some simulation results were also done to support the primary analytical findings.
کلیدواژه‌ها
Fear effect؛ Hopf-bifurcation؛ Intraguild predation؛ Local stability؛ Time delay
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