In this paper, we consider a susceptible-infective-susceptible(SIS) reaction-diffusion epidemic model with spontaneous infection and logistic source in a periodically evolving domain. Using the iterative technique,the...In this paper, we consider a susceptible-infective-susceptible(SIS) reaction-diffusion epidemic model with spontaneous infection and logistic source in a periodically evolving domain. Using the iterative technique,the uniform boundedness of solution is established. In addition, the spatial-temporal risk index R0(ρ) depending on the domain evolution rate ρ(t) as well as its analytical properties are discussed. The monotonicity of R0(ρ)with respect to the diffusion coefficients of the infected dI, the spontaneous infection rate η(ρ(t)y) and interval length L is investigated under appropriate conditions. Further, the existence and asymptotic behavior of periodic endemic equilibria are explored by upper and lower solution method. Finally, some numerical simulations are presented to illustrate our analytical results. Our results provide valuable information for disease control and prevention.展开更多
A diffusive SIS epidemic model with Holling II incidence rate is studied in this paper.We introduce the basic reproduction number R0 first.Then the existence of endemic equilibrium(EE)can be determined by the sizes of...A diffusive SIS epidemic model with Holling II incidence rate is studied in this paper.We introduce the basic reproduction number R0 first.Then the existence of endemic equilibrium(EE)can be determined by the sizes of R0 as well as the diffusion rates of susceptible and infected individuals.We also investigate the effect of diffusion rates on asymptotic profile of EE.Our results conclude that the infected population will die out if the diffusion rate of susceptible individuals is small and the total population N is below a certain level;while the two populations persist eventually if at least one of the diffusion rates of the susceptible and infected individuals is large.展开更多
基金supported by the National Natural Science Foundation of China (No.12231008 and No.11971185)。
文摘In this paper, we consider a susceptible-infective-susceptible(SIS) reaction-diffusion epidemic model with spontaneous infection and logistic source in a periodically evolving domain. Using the iterative technique,the uniform boundedness of solution is established. In addition, the spatial-temporal risk index R0(ρ) depending on the domain evolution rate ρ(t) as well as its analytical properties are discussed. The monotonicity of R0(ρ)with respect to the diffusion coefficients of the infected dI, the spontaneous infection rate η(ρ(t)y) and interval length L is investigated under appropriate conditions. Further, the existence and asymptotic behavior of periodic endemic equilibria are explored by upper and lower solution method. Finally, some numerical simulations are presented to illustrate our analytical results. Our results provide valuable information for disease control and prevention.
基金the National Natural Science Foundation of China 61472471.
文摘A diffusive SIS epidemic model with Holling II incidence rate is studied in this paper.We introduce the basic reproduction number R0 first.Then the existence of endemic equilibrium(EE)can be determined by the sizes of R0 as well as the diffusion rates of susceptible and infected individuals.We also investigate the effect of diffusion rates on asymptotic profile of EE.Our results conclude that the infected population will die out if the diffusion rate of susceptible individuals is small and the total population N is below a certain level;while the two populations persist eventually if at least one of the diffusion rates of the susceptible and infected individuals is large.
