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Dynamical Behaviour of an Infected Predator-Prey Model with Fear Effect
Iranian Journal of Science and Technology, Transactions A: Science ( IF 1.7 ) Pub Date : 2020-11-16 , DOI: 10.1007/s40995-020-01014-y
Dipesh Barman , Jyotirmoy Roy , Shariful Alam

In this article, we have presented an infected predator-prey model with Holling type II functional response where the predator population is divided into two sub-classes, namely susceptible and infected due to disease. Here, we have assumed that the fear induced by susceptible and infected predators are of different levels. Well-posedness of the model system along with persistence criterion and the conditions of local stability of each equilibrium point have been established. Direction of Hopf bifurcation near the interior equilibrium point has been investigated. From model analysis, it is observed that fear induced by both susceptible and infected predators jointly determine dynamical complexity of the system. Fear induced by susceptible predators enhances the stable coexistence of the system whereas high amount of fear induced by infected predators destabilizes the system. It is also observed that the ratio of the birth rate of prey and the level of fear induced by both the susceptible and infected predators actively determine the topological behaviour of the system. We have performed comprehensive and meticulous numerical simulations to verify and validate the analytical findings of our model system, and finally, the article is ended up with a conclusion.



中文翻译:

具有恐惧效应的传染性捕食者-食饵模型的动力学行为

在本文中,我们介绍了具有Holling II型功能性反应的感染食肉动物-猎物模型,其中食肉动物种群分为两个亚类,即易感性和由于疾病感染。在这里,我们假设易感和感染的掠食者引起的恐惧程度不同。建立了模型系统的适定性,持续性准则以及每个平衡点的局部稳定性条件。已经研究了霍普夫分叉在内部平衡点附近的方向。从模型分析中可以看出,易感和被感染的天敌引起的恐惧共同决定了系统的动态复杂性。易感的天敌引起的恐惧增强了系统的稳定共存,而被感染的天敌引起的大量恐惧则破坏了系统的稳定性。还观察到,易感性和感染性捕食者两者引起的猎物出生率与恐惧程度的比值主动决定了系统的拓扑行为。我们已经进行了全面而细致的数值模拟,以验证和验证我们模型系统的分析结果,最后,本文得出结论。

更新日期:2020-11-16
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