Leslie-Gower捕食-被捕食模型的Turing模式
Turing patterns in a Leslie-Gower predator prey model
摘要：
引入了一个具有恐惧效应和食饵避难所的反应扩散Leslie-Gower捕食-食饵模型，该模型具有Beddington-DeAngelis功能反应.对模型的解进行了定性分析，并对共存平衡点的稳定性进行了分析。无论是在自扩散的情况下，还是在交叉扩散的情况下，保证图灵不稳定性发生的充分条件已经确定。不同类型的图灵模式，代表人口在环境中的空间再分布，出现不同的模型参数值。
英文摘要：
A reaction-diffusion Leslie-Gower predator-prey model, incorporating the fear effect and prey refuge, with Beddington-DeAngelis functional response, is introduced. A qualitative analysis of the solutions of the model and the stability analysis of the coexistence equilibrium, are performed. Sufficient conditions guaranteeing the occurrence of Turing instability have been determined either in the case of self-diffusion or in the case of cross-diffusion. Different types of Turing patterns, representing a spatial redistribution of population in the environment, emerge for different values of the model parameters.
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