Spatial profiles of a reaction-diffusion epidemic model with nonlinear incidence mechanism and constant total population

2024/11/01 by Rui Peng, Peng, Rui, Rachidi B. Salako +3
Medicine · Mathematics · Biochemistry, Genetics and Molecular Biology · #Mathematical and Theoretical Epidemiology and Ecology Models #COVID-19 epidemiological studies #Evolution and Genetic Dynamics

paper · pdf · doi:10.48550/arxiv.2411.01041

Abstract

This paper examines a susceptible-infected-susceptible (SIS) epidemic reaction-diffusion model with no-flux boundary conditions and constant total population. The infection mechanism in the model is described by a nonlinear term of the form S^qI^p with 00. We explore the spatial profiles of the endemic equilibrium with respect to small movement rates of susceptible and/or infected populations. Our results extend and improve existing results in the literature, providing further insights into how transmission mechanisms and population mobility limitations impact the spread of infectious diseases. We reinforce and complement the theoretical results with numerical simulations.

Related

• Spatial profiles of a reaction-diffusion epidemic model with nonlinear incidence mechanism and varying total population
• Novel Spatial Profiles of Population Distribution of Two Diffusive SIS Epidemic Models with Mass Action Infection Mechanism and Small Movement Rate for the Infected Individuals
• Dynamics of a susceptible–infected–susceptible epidemic reaction–diffusion model
• Analysis of a Reaction-Diffusion Susceptible-Infected-Susceptible Epidemic Patch Model Incorporating Movement Inside and Among Patches
• Qualitative analysis on a spatial SIS epidemic model with linear source in advective environments II saturated incidence