论文标题

在扩散的霍林 - 坦纳捕食者捕食者模型中,空间非均匀稳态解决方案的全球稳定性

Global stability of spatially nonhomogeneous steady state solution in a diffusive Holling-Tanner predator-prey model

论文作者

Ni, Wenjie, Shi, Junping, Wang, Mingxin

论文摘要

通过使用新建造的lyapunov函数和非稳定稳态溶液的估计,证明了在异质环境中非均匀阳性稳态解决方案在异质环境中对扩散的刺激汤匙捕食者模型的全球稳定性。这里开发的技术可以适用于其他空间异质的消费者资源模型。

The global stability of the nonhomogeneous positive steady state solution to a diffusive Holling-Tanner predator-prey model in a heterogeneous environment is proved by using a newly constructed Lyapunov function and estimates of nonconstant steady state solutions. The techniques developed here can be adapted for other spatially heterogeneous consumer-resource models.

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