具有捕食合作的扩散共位群捕食模型
Dynamic Behaviors of an Diffusion Intraguild Predation Model with Hunting Cooperation
DOI: 10.12677/AAM.2022.117459, PDF, HTML, 下载: 199  浏览: 327  国家自然科学基金支持
作者: 冯 燕, 孟新友*：兰州理工大学, 理学院，应用数学系, 甘肃 兰州
关键词: 扩散；共位群；狩猎合作；Diffusion； Intraguild； Hunting Cooperation
摘要: 生物种群间的关系包括互惠共生、寄生、竞争和捕食四种基本关系，其中捕食关系在生物界中是必不可缺的。捕食者与食饵之间展现出追捕与逃避的现象，这样个体不会长期固定在某一区域，而是朝着有利于自身成长的地方移动，此时种群中存在扩散的现象。 因此，基于多种因素影响，本文建立了一个具有捕食者狩猎合作的扩散共位群捕食模型。 首先，在模型不考虑扩散下，讨论了所有平衡点的存在性和稳定性。 其次，通过理论得到了扩散会导致模型的不稳定。 最后，通过数值模拟验证了上述的分析结果。
Abstract: The relationships among species include mutualism, parasitism, competition and pre- dation, among which predation is indispensable in the biological world. In this way, individuals will not be fixed in a certain area for a long time, but move to a place conducive to their own growth. At this time, there is a phenomenon of diffusion in the population. Therefore, based on the influence of many factors, a diffusion intraguild predation model with hunting cooperation is established in this paper. Firstly, the existence and stability of all equilibrium points are discussed without considering d- iffusion. Secondly, we get the theory that diffusion will lead to the instability of the model. Finally, the results are verified by numerical simulation.
文章引用：冯燕, 孟新友. 具有捕食合作的扩散共位群捕食模型[J]. 应用数学进展, 2022, 11(7): 4323-4334. https://doi.org/10.12677/AAM.2022.117459

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