一类多维斑块环境下捕食扩散模型的持久性  

Persistence of a predator-prey diffusion model in multidimensional patch environment

作　　者：张敬[1] 芦雪娟[1] 马丽丽[1] ZHANG Jing;LU Xue-juan;MA Li-li(College of Science,Qiqihar University,Qiqihar 161006,Heilongjiang,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：《西北师范大学学报（自然科学版）》2023年第5期9-12,共4页Journal of Northwest Normal University(Natural Science)

基　　金：黑龙江省属高等学校基本科研业务费项目(1355509126)。

摘　　要：研究一类多维斑块环境下食饵和捕食者种群均扩散的捕食模型.讨论了模型解的最终一致有界性;利用再生矩阵理论计算了模型的净再生数;给出了系统持久生存的条件,并证明了系统的一致持久性.A class of predator-prey model with migrations among prey population and predator population is discussed in muiti-dimensional patch environment.The final uniform boundedness of solution for the model is given,and the net reproduction number is also obtained by regeneration matrix theory.The persistence condition of the system is given,and it is proved that the system is uniform persistence.

关 键 词：斑块 捕食模型 扩散 净再生数 一致持久性 

分 类 号：O175.12[理学—数学]