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Global dynamics and numerical bifurcation of a bioeconomic system | ||
| Computational Methods for Differential Equations | ||
| مقاله 8، دوره 9، شماره 2، تیر 2021، صفحه 427-445 اصل مقاله (760.8 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2020.29491.1421 | ||
| نویسندگان | ||
| Zeynab Lajmiri* 1؛ Iman Orak1؛ Reza Fereidooni2 | ||
| 1Sama technical and vocational training college, Islamic Azad Univercity Izeh Branch, Izeh, Iran. | ||
| 2Reserch and development manager of oxin steel company of khozestan, Iran. | ||
| چکیده | ||
| A predator-prey model was extended to include nonlinear harvesting of the predator guided by its population, such that harvesting is only implemented if the predator population exceeds an economic threshold. Theoretical results showed that the harvesting system undergoes multiple bifurcations, including fold, supercritical Hopf, Bogdanov-Takens and cusp bifurcations. We determine stability and dynamical behaviors of the equilibrium of this system. Numerical simulation results are given to support our theoretical results. | ||
| کلیدواژهها | ||
| Hopf bifurcation؛ Bogdanov-Takens bifurcation؛ Dynamical behavior؛ Cusp bifurcations | ||
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آمار تعداد مشاهده مقاله: 466 تعداد دریافت فایل اصل مقاله: 355 |
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