一类多维斑块环境下捕食者种群带有扩散的捕食模型的稳定性分析  

Stability analysis for a predator-prey model with diffusion of predator population in multi-dimensional patch environment

作　　者：张爽 张敬[1] 田巍[1] ZHANG Shuang;ZHANG Jing;TIAN Wei(School of Science,Qiqihar University,Qiqihar 161006,China)

机构地区：[1]齐齐哈尔大学理学院,黑龙江齐齐哈尔161006

出　　处：《高师理科学刊》2022年第5期1-4,共4页Journal of Science of Teachers＇College and University

基　　金：黑龙江省省属高等学校基本科研业务费科研项目(1355509126)。

摘　　要：研究了一类多维斑块环境下捕食者种群带有扩散的捕食模型.讨论了模型解的最终一致有界性,利用图论理论得到了模型正平衡点在可行域中的全局渐近稳定性.A predator-prey model with diffusion of predator population in multi-dimensional patch environment is studied.The final uniform boundedness of the solution of the model is discussed,the global asymptotic stability of the positive equilibrium of the model in the feasible region is obtained by using graph theory.

关 键 词：斑块 捕食模型 扩散 一致有界 全局渐近稳定 

分 类 号：O175.12[理学—数学]