报告题目：Spreading speeds and traveling wave solutions of diffusive vector-borne disease models without monotonicity

报告简介：Vector-borne diseases, such as chikungunya, dengue, malaria, West Nile virus, yellow fever, and Zika, pose a major global public health problem worldwide. We investigate the propagation dynamics of diffusive vector-borne disease models in the whole space, which characterize the spatial expansion of the infected hosts and infected vectors. Due to the lack of monotonicity, the comparison principle cannot be applied directly to this system. We determine the spreading speed and minimal wave speed when the basic reproduction number of the corresponding kinetic system is larger than one. The spreading speed is mainly estimated by the uniform persistence argument and generalized principal eigenvalue. We also show that solutions converge locally uniformly to the positive equilibrium by employing two auxiliary monotone systems. Moreover, it is proven that the spreading speed is the minimal wave speed of traveling wave solutions. In particular, the uniqueness and monotonicity of traveling waves are obtained. When the basic reproduction number of the corresponding kinetic system is not larger than one, it is shown that solutions approach to the disease-free equilibrium uniformly and there is no traveling wave solution. This talk is based on the joint work with Prof. Guo Lin and Prof. Shigui Ruan.

报告人：王新剑，江苏大学

报告时间：2023年6月14日（星期三）上午8:00-10:00

报告地点：扬州大学瘦西湖校区56号楼  

主办单位：扬州大学数学科学学院

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