Predator-prey model with prey-taxis and diffusion
Predator-prey model with prey-taxis and diffusion
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DOI：
10.1016/j.mcm.2006.10.010
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发表时间：
2007-08
期刊：
影响因子：
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通讯作者：
A. Chakraborty;Manmohan Singh;David Lucy;P. Ridland
中科院分区：
文献类型：
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作者：
A. Chakraborty;Manmohan Singh;David Lucy;P. Ridland
本文研究了食饵趋性对以草履虫奥雷利亚为食饵，双壳双孢为捕食者的捕食-食饵模型的影响.对具有食饵趋性的Logistic Lotka-Volterra捕食-食饵模型在四种不同的反应函数、两种初始条件和一个数据集下进行了数值求解。Routh-Hurwitz的稳定性条件被用来获得每个模型的趋势系数的分歧值。我们表明，响应函数和初始条件起着重要的作用，在图案的形成。当排序系数的值变得比分岔值大得多时，混沌动力学发展。随着捕食者速度的扩散被纳入系统，系统返回到一个循环模式。
The objective of this paper is to investigate the effect of prey-taxis on predator–prey models with Paramecium aurelia as the prey and Didinium nasutum as its predator. The logistic Lotka–Volterra predator–prey models with prey-taxis are solved numerically with four different response functions, two initial conditions and one data set. Routh–Hurwitz’s stability conditions are used to obtain the bifurcation values of the taxis coefficients for each model. We show that both response functions and initial conditions play important roles in the pattern formation. When the value of the taxis coefficient becomes considerably higher than the bifurcation value, chaotic dynamics develop. As diffusion in predator velocity is incorporated into the system, the system returns to a cyclic pattern.