具有接种和时滞的生态传染病模型渐近性态

来源 :纺织高校基础科学学报 | 被引量 : 0次 | 上传用户:zx350220519
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研究了一类具有接种和时滞的生态传染病模型,得到了决定疾病持续和灭绝的阈值条件。利用线性化方法和Liapunov函数法证明了无病平衡点的全局稳定性及地方病平衡点的局部渐近稳定性。最后,利用不等式分析技术及持久性理论探讨了系统的持久性。结果显示,单一的预防接种策略并不能使疾病消亡,其他的相关辅助措施仍然具有很重要的作用。
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