Abstract
In this paper, a reaction–diffusion SVIR epidemic model in a spatial heterogeneous environment is proposed. We defined the basic reproduction number ℜ0 and showed that it is a threshold parameter, which determines the disease extinction or persistence in the case of a bounded domain. The global attractiveness of the constant positive steady state and the explicit formula of ℜ0 are obtained when the space is homogeneous. Simulation results reveal that the spatial heterogeneity can enhance the spread risk of the disease. It is found that the distribution of infected individuals is affected by different diffusion rate and its prevalence becomes higher when a larger diffusion rate is used. The relationship among the basic reproduction number, the vaccination rate and recovery rate of vaccinated individuals and infected individuals are also addressed. If the recovery rates of vaccinated individuals and infected individuals are sufficiently large, disease can be eradicated by conducting suitable vaccination strategy, which reveals that increasing the recovery rates of vaccinated individuals and infected individuals seems more important than increasing vaccination rate.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Physica A: Statistical Mechanics and its Applications
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
