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Delay diffusive prey predator model with hunting cooperation in predators | ||
| Computational Methods for Differential Equations | ||
| مقاله 26، دوره 14، شماره 4، دی 2026، صفحه 1952-1960 اصل مقاله (1.3 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2025.63898.2883 | ||
| نویسندگان | ||
| Saddam Hussain* 1؛ Mashkoor Khan2 | ||
| 1Department of Applied Science and Humanities, Government Engineering College Siwan, Bihar, India. | ||
| 2Department of Geology, Government Engineering College Siwan, Bihar, India. | ||
| چکیده | ||
| In this paper, we conduct a detailed stability analysis and investigate Hopf bifurcation in a temporal predator-prey model that incorporates cooperative hunting among predators. Building on this, we extend the model to a spatiotemporal domain to explore how spatial diffusion influences the dynamics. Our simulations reveal distinct spatial patterns, such as cold spots indicating low prey density and hot spots indicating high predator concentration. Notably, we observe that increasing the diffusion rates leads to the formation of more sharply concentrated and spatially structured patterns. To further enrich the model, we introduce a time delay representing the gestation or response time in predator-prey interactions. The inclusion of delay significantly alters the dynamics: while the non-delayed model supports stationary spatial patterns, the delayed model gives rise to complex oscillatory structures that evolve, highlighting the critical role of delay in generating temporal fluctuations in pattern formation. | ||
| کلیدواژهها | ||
| Spatio-temporal predator-prey model؛ Delayed spatio-temporal model؛ Stability and bifurcation analysis | ||
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آمار تعداد مشاهده مقاله: 210 تعداد دریافت فایل اصل مقاله: 262 |
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