行会内捕食
捕食
语言环境(计算机软件)
吸引子
生态学
数理经济学
计算机科学
数学
生物
数学分析
捕食者
操作系统
作者
Robert Stephen Cantrell,Xinru Cao,King‐Yeung Lam,Tian Xiang
出处
期刊:Discrete and Continuous Dynamical Systems-series B
[American Institute of Mathematical Sciences]
日期:2017-01-01
卷期号:22 (10): 3653-3661
被引量:2
标识
DOI:10.3934/dcdsb.2017145
摘要
This note concerns a quasilinear parabolic system modeling an intraguild predation community in a focal habitat in $\mathbb{R}^n$, $n ≥ 2$. In this system the intraguild prey employs a fitness-based dispersal strategy whereby the intraguild prey moves away from a locale when predation risk is high enough to render the locale undesirable for resource acquisition. The system modifies the model considered in Ryan and Cantrell (2015) by adding an element of mutual interference among predators to the functional response terms in the model, thereby switching from Holling Ⅱ forms to Beddington-DeAngelis forms. We show that the resulting system can be realized as a semi-dynamical system with a global attractor for any $n ≥ 2$. In contrast, the orginal model was restricted to two dimensional spatial habitats. The permanance of the intraguild prey then follows as in Ryan and Cantrell by means of the Acyclicity Theorem of Persistence Theory.
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