具有恐惧和Allee效应的捕食模型中扩散驱动的不稳定性和模式形成

IF 0.4 Q4 MATHEMATICS, APPLIED Mathematics in applied sciences and engineering Pub Date : 2023-04-02 DOI:10.5206/mase/15231
Debjit Pal, D. Kesh, D. Mukherjee
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引用次数: 0

摘要

本文分析了一个具有HollingⅡ型反应函数的捕食-被捕食模型,该模型考虑了Allee和恐惧效应。该模型包括捕食者之间的物种内竞争。通过将恐惧水平作为分岔参数,我们得到了局部动力学和Hopf分岔。然后,根据系统的生态参数和扩散系数,证明了扩散驱动的不稳定性和模式的条件。特定内部竞争影响系统的动态性和图灵模式的形成。此外,通过数值模拟验证了结果的输出。因此,从动力学的角度来看,所考虑的模型似乎与生态学领域有关。
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Diffusion-driven instability and pattern formation in a prey-predator model with fear and Allee effect
This paper analyses a predator-prey model with Holling type II response function incorporating Allee and fear effect in the prey. The model includes intra species competition among predators. We find out the local dynamics as well as Hopf bifurcation by considering level of fear as bifurcation parameter. The condition for diffusion-driven instability and patterns are then demonstrated in relation to the system's ecological parameters and diffusion coefficients. Intra-specific competition affects the dynamics of the system and Turing pattern formation. Moreover, output of results is verified through numerical simulation. Thus, from a dynamical standpoint, the considered model seems to be relevant in the field of ecology.
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1.40
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0.00%
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审稿时长
21 weeks
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