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饥饿驱动扩散对Holling-Ⅱ型捕食模型共存的影响
Effect of Starvation-Driven Diffusion on Coexistence of Holling-Ⅱ Type Predator-Prey Model
【摘要】 考虑齐次Neumann边界条件下,饥饿驱动扩散对Holling-Ⅱ型捕食模型共存的影响.利用特征值理论分析一致扩散和饥饿驱动扩散情形下半平凡解的稳定性,并通过对比两种扩散下半平凡解稳定性的变化,发现饥饿驱动扩散有利于物种共存.
【Abstract】 We considered the effect of starvation-driven diffusion on the coexistence of a Holling-Ⅱ type predator-prey model under homogeneous Neumann boundary conditions. The eigenvalue theory was used to analyze the stability of semi-trivial solution under uniform diffusion and starvation-driven diffusion. By comparing the stability changes of semi-trivial solutions under two kinds of diffusion, we find that starvation-driven diffusion is conducive to the coexistence of species.
【关键词】 捕食模型;
Holling-Ⅱ型功能反应函数;
饥饿驱动扩散;
共存域;
【Key words】 predator-prey model; Holling-Ⅱ functional response function; starvation-driven diffusion; coexistence region;
【Key words】 predator-prey model; Holling-Ⅱ functional response function; starvation-driven diffusion; coexistence region;
【基金】 国家自然科学基金(批准号:11761063)
- 【文献出处】 吉林大学学报(理学版) ,Journal of Jilin University(Science Edition) , 编辑部邮箱 ,2023年04期
- 【分类号】O175;Q141
- 【下载频次】5