Emergence of Strange Spatial Pattern in a Spatial Epidemic Model

有非线性的发生率 kI (2 ) 的一个空间流行模型的模式形成 S/(1 座 + 高山哈 I-2 ) 被调查。我们的结果显示出那奇怪的空间动力学，即，像细丝的模式，能被数学分析和数字模拟获得，它与在空间流行模型例如的以前的结果不同像条纹或看到或共存两模式等等。获得的结果很好扩大在流行模型发现模式形成并且很可能解释分发某流行病感染了。

Pattern formation of a spatial epidemic model with nonlinear incidence rate hI^2 S/（1 ＋ αI^2） is investigated. Our results show that strange spatial dynamics, i.e., filament-like pattern, can be obtained by both mathematical analysis and numerical simulation, which are different from the previous results in the spatial epidemic model such as stripe-like or spotted or coexistence of both pattern and so on. The obtained results well extend the finding of pattern formation in the epidemic model and may well explain the distribution of the infected of some epidemic.