带有饱和与竞争项的捕食模型  

Predator-prey Model with Saturation and Competition

作　　者：邵翠[1] 

机构地区：[1]安徽工业大学工商学院,安徽马鞍山243002

出　　处：《安徽工业大学学报（自然科学版）》2012年第3期265-270,共6页Journal of Anhui University of Technology（Natural Science）

摘　　要：具体的捕食模型中响应函数是一关键因素。考虑一类齐次Neumann边界条件下带有饱和与竞争项的捕食模型,对其反应扩散方程组及对应的平衡态问题,利用比较原理研究解的耗散性,持久性,借助于最大值原理给出正解的先验估计,得出随着参数的变化非常数正平衡解的不存在性。In the specific predator-prey model,the response function is a key factor.A predator-prey model with saturation and competition under homogeneous Neumann boundary is considered.By means of the comparision principle,the behavior of the solutions including dissipativeness,constancy are studied.A priori-estimates of positive steady states is given by maximum principle.As some parameters varied,the nonexistence of the nonconstant positive steady solution is proved.

关 键 词：饱和与竞争项 捕食模型 耗散性 持久性 先验估计 非常数正平衡解 

分 类 号：O175.25[理学—数学]