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Stability and bifurcation analysis of a ratio dependent discrete prey-predator model with linear harvesting

机译:具有线性收获的比率依赖型离散捕食者模型的稳定性和分支分析

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In this paper we have analyzed a discrete prey-predator model with ratio dependent functional response and linear harvesting rate in terms of the predator species. Algebraically we have discussed the existence of fixed points, their feasibility and stability. Then Neimark-Sacker bifurcation and chaos analysis of the model have been studied algebraically with respect to the hervesting coefficient. By numerical simulation theoretical results have been justied. Finally an idea of chaos control have been proposed.
机译:在本文中,我们分析了具有比率依赖的功能响应和线性捕食率的离散捕食者-捕食者模型。在代数方面,我们讨论了不动点的存在,它们的可行性和稳定性。然后关于代数系数,对代数的Neimark-Sacker分叉和混沌分析进行了研究。通过数值模拟证明了理论结果。最后提出了混沌控制的思想。

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