UNIQUENESS OF EPIDEMIC WAVES IN A HOST-VECTOR DISEASE MODEL
UNIQUENESS OF EPIDEMIC WAVES IN A HOST-VECTOR DISEASE MODEL
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宿主病媒疾病模型中流行波的独特性
DOI：
10.1090/proc/14043
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发表时间：
2018
影响因子：
1
通讯作者：
Xiao Dongmei
中科院分区：
文献类型：
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作者：
许钊泉;Xiao Dongmei
作为宿主媒介流行病演化模型的扩散积分微分方程在文献中得到了广泛的研究。该模型的行波解描述了疾病从无病状态到传染状态的传播，即流行波。如果具有最小传播速度的流行波在平移时是唯一的，这是一个具有挑战性的问题。在本文中，我们通过滑动方法建立了所有允许波速下所有流行波的唯一性，并彻底解决了这一具有挑战性的问题。参考
A diffusive integro-differential equation which serves as a model for the evolution of a host-vector epidemic was extensively studied in literature. The traveling wave solutions of this model describe the spread of the disease from a disease-free state to an infective state, which are epidemic waves. It is a challenging problem if epidemic waves with the minimal propagation speed are unique up to translation. In this paper, we establish the uniqueness of all epidemic waves with any an admissible wave speed by the sliding method and solve this challenging problem completely. References