吴敏, 翁佩萱. 具有阶段结构的多时滞SIR扩散模型的稳定性时滞SIR扩散模型的稳定性分析[J]. 华南师范大学学报（自然科学版）, 2013, 45(2). doi: 10.6054/j.jscnun.2013.01.003
引用本文: 吴敏, 翁佩萱. 具有阶段结构的多时滞SIR扩散模型的稳定性时滞SIR扩散模型的稳定性分析[J]. 华南师范大学学报（自然科学版）, 2013, 45(2). doi: 10.6054/j.jscnun.2013.01.003
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Min WU, Pei-Xuan WENG. Stability analysis of a stage-structured diffusive SIR model with delays[J]. Journal of South China Normal University (Natural Science Edition), 2013, 45(2). doi: 10.6054/j.jscnun.2013.01.003
Citation: Min WU, Pei-Xuan WENG. Stability analysis of a stage-structured diffusive SIR model with delays[J]. Journal of South China Normal University (Natural Science Edition), 2013, 45(2). doi: 10.6054/j.jscnun.2013.01.003
shu

具有阶段结构的多时滞SIR扩散模型的稳定性时滞SIR扩散模型的稳定性分析

Stability analysis of a stage-structured diffusive SIR model with delays

    摘要
  • 摘要: 考虑了一类带有一般发生率和阶段结构的SIR模型. 确定了该模型的基本再生数, 并通过分析对应的特征方程的根的分布, 得到了无疾病平衡点和地方病平衡点的线性稳定性.

     

    Abstract: A stage-structured SIR model with general incidence rate is investigated. The basic reproductive number of the model is determined, and the linear stabilities of the disease-free equilibrium and the endemic equilibrium are obtained by analyzing the distribution of roots of corresponding characteristic equations.

     

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