This paper is concerned with a West Nile virus (WNv) model on a growing domain, which accounts for habitat expansion of mosquitoes because of climate warming. We aim to understand the relationship of the growing rate and the transmission risk of WNv. The basic reproduction number, which is related to the growing rate and diffusion rate, is introduced through spectral theory. The conditions to determine whether the virus vanishes or spreads are deduced. The obtained results reveal that domain growth leads to increased risk of infection and is detrimental to the control and prevention of WNv. To verify the feasibility of our analytical results on the long‐time behavior of WNv, some numerical simulations are given.

中文翻译：

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西尼罗河病毒在日益增长的领域中的空间传播和风险评估

本文关注的是一个在增长域中的西尼罗河病毒（WNv）模型，该模型说明了由于气候变暖而导致蚊子栖息地的扩大。我们旨在了解WNv的增长率和传播风险之间的关系。通过谱理论介绍了与繁殖率和扩散率有关的基本繁殖数。推论确定病毒消失或传播的条件。获得的结果表明，域生长导致感染风险增加，并且对控制和预防WNv有害。为了验证我们关于WNv长期行为的分析结果的可行性，给出了一些数值模拟。