非自治Lotka-Volterra扩散模型的持续生存与周期轨道(英)  

Persistence and Periodic Orbits for Nonautonomous Lotka-Volterra Diffusion Model

作　　者：朱洪亮[1] 段魁臣[2] 

机构地区：[1]北京大学数学学院,100871 [2]新疆大学数学系,乌鲁木齐830046

出　　处：《应用数学》1998年第2期104-108,共5页Mathematica Applicata

摘　　要：本文研究了一类非自治的捕食者一食饵扩散模型；其中食饵能在环境相异的两个缀块间有限制地扩散，但对捕食者来说，缀块间的扩散不受任何限制；另外假设模型的系数都是时间的函数．我们证明了在适当的条件下，这个系统能够持续生存，进一步给出了系统存在唯一全局渐近稳定正周期轨道的充分条件．A nonautonomous predator-prey diffusion model is investigated in this paper, where the prey can diffuse between two patches of a heterogeneous environment with barriers between patches,but for the predator , the diffusion docs not involve a barrior between patches, further it is assumed that all the parameters are time-dependent.It's shown that the system can be made persistent under some appropriate conditions. Moreover, sufficient conditions that guarantee the existencc of a unque positive orbit which is globally asympototic stable arc derived.

关 键 词：持续生存 捕食-食饵模型 周期轨道 L-V扩散模型 

分 类 号：Q141[生物学—生态学]