Spatiotemporal dynamics of a diffusive predator–prey model with fear effect
Spatiotemporal dynamics of a diffusive predator–prey model with fear effect
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DOI：
10.15388/namc.2022.27.27535
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发表时间：
2022-05
期刊：
影响因子：
--
通讯作者：
Jia Liu;Yun Kang
中科院分区：
文献类型：
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作者：
Jia Liu;Yun Kang
本文研究了一个具有恐惧效应的扩散捕食者-猎物模型。首先，对系统的基本动力学进行了分析。然后在稳定性分析的基础上，导出了恒稳态的稳定性和分岔条件。进一步，在考虑扩散影响的情况下，给出了该模型非常稳态的存在性和不存在性的一些结果。最后，通过数值模拟对理论结果进行了验证。通过数学和数值分析，我们发现恐惧可以防止极限环振荡的发生，增加系统的稳定性，而扩散也会引起系统的混沌。
This paper concerned with a diffusive predator–prey model with fear effect. First, some basic dynamics of system is analyzed. Then based on stability analysis, we derive some conditions for stability and bifurcation of constant steady state. Furthermore, we derive some results on the existence and nonexistence of nonconstant steady states of this model by considering the effect of diffusion. Finally, we present some numerical simulations to verify our theoretical results. By mathematical and numerical analyses, we find that the fear can prevent the occurrence of limit cycle oscillation and increase the stability of the system, and the diffusion can also induce the chaos in the system.