具有暂时免疫的多株流行病模型的嵌合状态
Chimera states in multi-strain epidemic models with temporary immunity
摘要：
研究了具有暂时免疫力的多毒株疾病的时滞流行病模型。在菌株之间没有交叉免疫的情况下，由于地方病平衡点的Hopf分支，每个单独菌株的动力学表现出极限环的出现和消失，并且极限环的鞍结分支取决于与暂时免疫持续时间相关的时间延迟。通过数值模拟系统地研究了全对全耦合和非局域耦合拓扑结构的影响，结果表明交叉免疫能够诱导多种复杂的动力学行为和同步模式，包括离散的行波、孤立态和振幅嵌合体.有趣的是，嵌合体状态被观察到较窄的交叉免疫内核，这可能对理解多菌株疾病的动力学具有深远的意义。
英文摘要：
We investigate a time-delayed epidemic model for multi-strain diseases with temporary immunity. In the absence of cross-immunity between strains, dynamics of each individual strain exhibits emergence and anni- hilation of limit cycles due to a Hopf bifurcation of the endemic equilibrium, and a saddle-node bifurcation of limit cycles depending on the time delay associated with duration of temporary immunity. Effects of all-to-all and non-local coupling topologies are systematically investigated by means of numerical simulations, and they suggest that cross-immunity is able to induce a diverse range of complex dynamical behaviors and synchro- nization patterns, including discrete traveling waves, solitary states, and amplitude chimeras. Interestingly, chimera states are observed for narrower cross-immunity kernels, which can have profound implications for understanding the dynamics of multi-strain diseases.
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