A vector-host epidemic model with spatial structure and seasonality
Mingxin Wang, Qianying Zhang
TL;DR
This paper extends a reaction-diffusion model of Zika virus by analyzing the effects of different boundary conditions on the model's dynamics, using the upper and lower solutions method.
Contribution
It introduces a mathematical analysis of a spatially structured Zika virus model with general boundary conditions, expanding previous work that used Neumann boundary conditions.
Findings
Established existence of solutions under general boundary conditions
Provided threshold conditions related to the basic reproduction ratio R0
Extended the mathematical framework for spatial epidemic models
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsCOVID-19 epidemiological studies · Mathematical and Theoretical Epidemiology and Ecology Models