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Hopf bifurcation analysis of a diffusive predator-prey model with Monod-Haldane response | ||
| Journal of Mathematical Modeling | ||
| مقاله 3، دوره 5، شماره 2، اسفند 2017، صفحه 119-136 اصل مقاله (357.83 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2017.2482 | ||
| نویسندگان | ||
| Sambath Muniyagounder* 1؛ Ramajayam Sahadevan2 | ||
| 1Department of Mathematics, Periyar University, Salem-636011, India | ||
| 2Ramanujan Institute for Advanced Study in Mathematics, University of Madras, hennai-600005, India | ||
| چکیده | ||
| In this paper, we have studied the diffusive predator-prey model with Monod-Haldane functional response. The stability of the positive equilibrium and the existence of Hopf bifurcation are investigated by analyzing the distribution of eigenvalues without diffusion. We also study the spatially homogeneous and non-homogeneous periodic solutions through all parameters of the system which are spatially homogeneous. In order to verify our theoretical results, some numerical simulations are also presented. | ||
| کلیدواژه‌ها | ||
| Stability؛ prey-predator؛ Monod-Haldane response؛ Hopf bifurcation | ||
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