具饱和传染率的一类捕食者-食饵模型的分析
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Keywords: 捕食者-食饵模型,有界性,中心流形,稳定性
Abstract:
讨论了疾病仅在食饵中传播的捕食者-食饵模型.假设捕食者只捕食染病的食饵种群,且疾病的发生率为非线性的.本文首先讨论系统解的有界性,然后讨论系统平衡点的存在性及其存在时的稳定性,得到了边界平衡点和正平衡点的全局稳定性.
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