Abstract
In this paper, we investigate a two-stage epidemic model with logistic growth and saturated incidence rates in a spatially heterogeneous environment. First, the global existence of the nonnegative solution and the existence of global attractor are proved. Then the basic reproduction number R0 is established as a threshold for the dynamics of the disease with the next generation operator method. It is shown that the disease-free equilibrium is globally attractive if R0<1 and the disease is uniformly persistent if R0>1. Furthermore, we investigate the asymptotic profiles of positive steady states as the diffusion rate of the susceptible population tends to 0 and ∞, respectively. Additionally, numerical examples are carried out to verify the results and reveal the biological significance.
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 callDisclaimer: 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.
