一类带功能反应项的捕食扩散模型的稳定性  

Stability of a Diffusive Predator Model with Functional Response

作　　者：石月莲[1] 薛亚奎[1] 

机构地区：[1]中北大学理学院,山西太原030051

出　　处：《佳木斯大学学报（自然科学版）》2009年第5期732-734,共3页Journal of Jiamusi University：Natural Science Edition

基　　金：国家自然科学基金项目(10471040);山西省自然科学基金项目(2009011005-1)

摘　　要：主要讨论了食饵具有非线性密度制约带Holling-Π型功能反应项的捕食者—食饵扩散模型解的整体性态.先应用上下解方法证明了该模型解的一致有界性及其存在性;再应用线性化方法和Lyapunov方法证明了该模型正平衡点的稳定性.The global behavior of solutions for a predator-prey diffusive model with Holling-Π type functional response was considered,where the density of the prey was nonlinearly restricted and the density of the predator was restricted.First,using the upper and lower solutions method,the uniform roundedness and global existence of solutions to the model are given.Meanwhile,the stability of positive equilibrium point is given by linearization and Lyapunov methods.

关 键 词：捕食者-食饵 稳定性 Holling-Π功能反应项 

分 类 号：O175.26[理学—数学]