带Beddington-DeAngelis功能反应项的捕食者-食饵模型整体解的存在性和稳定性  

Existence and Stability of Global Solutions for a Prey-Predator Model with Beddington-DeAngelis Functional Response

作　　者：许生虎[1] 李相锋[1] 

机构地区：[1]陇东学院数学系,甘肃庆阳745000

出　　处：《吉林大学学报（理学版）》2010年第3期375-383,共9页Journal of Jilin University:Science Edition

基　　金：甘肃省高等学校研究生导师科研项目基金(批准号:0810-03);陇东学院科研项目(批准号:XYZK-0806);陇东学院青年科技创新项目(批准号:XYZK-0804)

摘　　要：应用能量估计方法证明了带Beddington-DeAngelis功能反应项的捕食者-食饵交错扩散模型整体解的存在唯一性和一致有界性,并通过构造Lyapunov函数给出了该模型唯一正平衡点全局渐近稳定的充分条件.With the help of the energy estimate method,the existence,uniqueness and uniform boundedness of global solutions for a cross-diffusion prey-predator model with Beddington-DeAngelis functional response were proved. The sufficient condition of global asymptotic stability of the unique positive equilibrium point for this model was given by constructing Lyapunov function.

关 键 词：自扩散 交错扩散 Beddington-DeAngelis功能反应函数 整体解 稳定性 

分 类 号：O175.26[理学—数学]