Impact of disease on a two-patch eco-epidemic model in presence of prey dispersal

Q2 Mathematics Computational and Mathematical Biophysics Pub Date : 2022-01-01 DOI:10.1515/cmb-2022-0139

Sangeeta Saha, Guruprasad Samanta

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引用次数: 1

Abstract

Abstract The present model is dealt with prey-predator interactions in two different patches where only prey species are allowed to disperse among the patches. Each of these two patches has different predator population but the predator in Patch-2 only is affected with a disease. The proposed model is biologically welldefined. Also, the feasibility of the equilibrium points and corresponding stability conditions are analysed. It is found that the disease among predator, even in one patch, makes an important role to control the whole system dynamics as it starts to oscillates by regulating the disease transmission rate. Moreover, the disease transmission rate has a stabilizing as well as destabilizing effect on the system dynamics. From the results, it is observed that a high dispersal rate decreases the count of infected predator in a patch in presence of prey dispersal. There is another interesting result: it is observed that the prey dispersal cannot destabilize the coexistence state, i.e., the system which is stable in absence of dispersal remains stable when the prey species disperse between two patches.

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疾病对存在猎物扩散的双斑块生态流行病模型的影响

摘要本模型处理了两个不同斑块中的捕食-捕食者相互作用，其中只有猎物物种被允许分散在斑块之间。这两个斑块中的每一个都有不同的捕食者种群，但斑块2中的捕食者只会受到疾病的影响。所提出的模型在生物学上有很好的定义。同时，分析了平衡点和相应稳定条件的可行性。研究发现，捕食者之间的疾病，即使是在一个斑块中，也会通过调节疾病传播率来控制整个系统的动力学，因为它开始振荡。此外，疾病传播率对系统动力学具有稳定和不稳定的影响。从结果中可以观察到，在猎物扩散的情况下，高扩散率会降低斑块中受感染捕食者的数量。还有另一个有趣的结果：观察到猎物的分散不会破坏共存状态，即当猎物物种分散在两个斑块之间时，在没有分散的情况下稳定的系统保持稳定。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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