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Stability analysis of fractional-order predator-prey model with anti-predator behaviour and prey refuge | ||
| Journal of Mathematical Modeling | ||
| مقاله 8، دوره 11، شماره 3، دی 2023، صفحه 527-546 اصل مقاله (1.78 M) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2023.23604.2107 | ||
| نویسندگان | ||
| Subramaniyam Karthikeyan1؛ Perumal Ramesh2؛ Muniyagounder Sambath* 1 | ||
| 1Department of Mathematics, Periyar University, Salem 636 011, India | ||
| 2Department of Mathematics, Easwari Engineering College, Chennai 600 089, India | ||
| چکیده | ||
| This article investigates a fractional-order predator-prey model incorporating prey refuge and anti-predator behaviour on predator species. For our proposed model, we prove the existence, uniqueness, non-negativity and boundedness of solutions. Further, all biologically possible equilibrium points and their stability analysis for the proposed system are carried out with the linearization process. Moreover, by using an appropriate Lyapunov function, the global stability of the co-existence equilibrium point is studied. Finally, we provide numerical simulations to demonstrate how the theoretical approach is consistent. | ||
| کلیدواژه‌ها | ||
| Caputo fractional derivative؛ prey refuge؛ anti-predator؛ stability analysis؛ Hopf bifurcation | ||
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آمار تعداد مشاهده مقاله: 242 تعداد دریافت فایل اصل مقاله: 438 |
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