A Diffusive Predator-Prey Model with Spatially Heterogeneous Carrying Capacity  

作　　者：CHEN Jiawei WANG Biao 

机构地区：[1]College of Science,Xi'an University of Science and Technology,Xi'an 710054,China

出　　处：《Journal of Partial Differential Equations》2023年第4期435-453,共19页偏微分方程（英文版）

基　　金：supported by the National Science Foundation of China(No.11801436).

摘　　要：We study local dynamics of a diffusive predator-prey model in a spatially heterogeneous environment,where intrinsic growth rate of the prey is spatially ho-mogeneous,whereas carrying capacity of the habitat is spatially inhomogeneous.In comparison with the existing predator-prey models,the stability of semi-trivial steady state of this model displays distinct properties.For example,for certain intermediate ranges of the death rate of the predator,the semi-trivial steady state can change its stability at least once as the dispersal rate of the prey varies from small to large,while the stability of the semi-trivial steady state is immune from the dispersal rate of the predator.

关 键 词：Predator-prey model carrying capacity spatial heterogeneity STABILITY 

分 类 号：O175.21[理学—数学] O175.23[理学—基础数学] O175.9