On degenerate reaction-diffusion epidemic models with mass action or standard incidence mechanism
Analysis of PDEs
2023-12-19 v3 Classical Analysis and ODEs
Abstract
In this paper, we consider reaction-diffusion epidemic models with mass action or standard incidence mechanism and study the impact of limiting population movement on disease transmissions. We set either the dispersal rate of the susceptible or infected people to zero and study the corresponding degenerate reaction-diffusion model. Our main approach to study the global dynamics of these models is to construct delicate Lyapunov functions. Our results show that the consequences of limiting the movement of susceptible or infected people depend on transmission mechanisms, model parameters, and population size.
Keywords
Cite
@article{arxiv.2311.06434,
title = {On degenerate reaction-diffusion epidemic models with mass action or standard incidence mechanism},
author = {Rachidi Salako and Yixiang Wu},
journal= {arXiv preprint arXiv:2311.06434},
year = {2023}
}