变系数捕食者-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 varied coefficients

作　　者：杨芳[1] 伏升茂[1] 

机构地区：[1]西北师范大学数学与信息科学学院

出　　处：《西北师范大学学报（自然科学版）》2006年第4期11-17,共7页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(1047115);甘肃省自然科学基金资助项目(ZS031-A25-003-Z)

摘　　要：应用能量估计方法证明了带自扩散和交错扩散的两种群变系数捕食者-食饵模型整体解的存在唯一性和一致有界性.通过构造Lyapunov函数给出了该模型正平衡点全局渐近稳定的充分条件.The method of energy estimate is employed to prove the existence, uniqueness and uniform boundedness of global solutions for a two-species prey-predator model with self-and cross-diffusion. By constructing Lyapunov function, a sufficient condition of global asymptotic stability of the positive equilibrium point for this model is given.

关 键 词：自扩散 交错扩散 整体解 一致有界性 稳定性 

分 类 号：O175.26[理学—数学]