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

作　　者：冯燕 孟新友[1] 

机构地区：[1]兰州理工大学, 理学院,应用数学系, 甘肃 兰州

出　　处：《应用数学进展》2022年第7期4323-4334,共12页Advances in Applied Mathematics

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。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.

关 键 词：扩散 共位群 狩猎合作 

分 类 号：O17[理学—数学]