Abstract: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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中文翻译：

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扩散 Holling-Tanner 捕食者-猎物模型中空间非均匀稳态解的全局稳定性

摘要：通过使用新构建的 Lyapunov 函数和非恒定稳态解的估计，证明了异构环境中扩散 Holling-Tanner 捕食者-猎物模型非齐次正稳态解的全局稳定性。这里开发的技术可以适用于其他空间异构的消费者资源模型。

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