Dynamics of a Zika epidemic model with saturated incidence in spatially heterogeneous environments

期刊论文
出版模式：

开放获取
发表日期：

2026年2月5日

查看全文

Qian Ding,
Shuangshuang Zhou,
Shubo Chen,
Yanfei Dai

摘要

To explore the influence of spatial heterogeneity on Zika virus (ZIKV), we formulate a reaction-diffusion model with a saturated incidence rate to better capture these real world dynamics. The basic reproduction number $R_{0}$ $\mathfrak{R}_{0}$ is derived, and threshold dynamics are established. When $R_{0} < 1$ $\mathfrak{R}_{0}<1$ , the disease will eventually die out; when $R_{0} > 1$ $\mathfrak{R}_{0}>1$ , the infection becomes uniformly persistent, and the system admits at least one endemic equilibrium. Numerical simulations validate the theoretical findings and further illustrate how spatial heterogeneity affects the spread and persistence of ZIKV. These findings underscore the importance of region specific control measures in managing ZIKV transmission.