强Allee效应与Beddington-DeAngelis影响下的一类扩散捕食者-食饵系统
Strong Allee effect in a diffusive predator-prey system with Beddington-DeAngelis
在本文中, 研究了具有Beddington-DeAngelis反应函数扩散捕食者 - 食饵系统中强Allee效应的动力学. 应用比较原理, 最大值法则, 研究涉及解的存在性, 唯一性, 边界性和稳定性. 特别地,证明了如果Allee效应阈值较低且保护区较大, 则可以避免过度开发现象. 这些结果表明Allee效应的影响实质上增加了系统的时空复杂性.
In this paper, the dynamics of strong Allee effect in a reaction-diffusion predator-prey system with Beddington-DeAngelis functional response will be studied. The existence, uniqueness and stability of solution will be exploration. In particular, it is shown that the overexploitation phenomenon can be avoided if the Allee effect threshold is low and the protection zone is large. These results show that the Allee effect increases the system complexity.
刘乃伟、李成
生物科学理论、生物科学方法环境生物学
Beddington-DeAngelis反应函数比较定理llee 效应稳定性
Beddington-DeAngelis functional responsePredator-preyReaction-diffusion systemStrong Allee effect
刘乃伟,李成.强Allee效应与Beddington-DeAngelis影响下的一类扩散捕食者-食饵系统[EB/OL].(2018-12-14)[2025-08-11].http://www.paper.edu.cn/releasepaper/content/201812-52.点此复制
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