English

A vector-host epidemic model with spatial structure and seasonality

Analysis of PDEs 2025-12-15 v2

Abstract

Recently, Li and Zhao [5] (Bull. Math. Biol., 83(5), 43, 25 pp (2021)) proposed and studied a periodic reaction-diffusion model of Zika virus with seasonality and spatial heterogeneous structure in host and vector populations. They found the basic reproduction ratio R0, which is a threshold parameter. In this short paper we shall use the upper and lower solutions method to study the model of [5] with Neumann boundary conditions replaced by general boundary conditions.

Keywords

Cite

@article{arxiv.2407.15361,
  title  = {A vector-host epidemic model with spatial structure and seasonality},
  author = {Mingxin Wang and Qianying Zhang},
  journal= {arXiv preprint arXiv:2407.15361},
  year   = {2025}
}
R2 v1 2026-06-28T17:49:05.404Z