scholarly journals Analysis on a diffusive SIS epidemic system with linear source and frequency-dependent incidence function in a heterogeneous environment

2020 ◽  
Vol 17 (1) ◽  
pp. 418-441 ◽  
Author(s):  
Jinzhe Suo ◽  
◽  
Bo Li
Keyword(s):  
Heterogeneous Environment ◽  
Linear Source ◽  
Frequency Dependent ◽  
Incidence Function ◽  
Sis Epidemic

scholarly journals Concentration phenomenon of the endemic equilibrium of a reaction-diffusion-advection SIS epidemic model with spontaneous infection

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Chengxia Lei ◽  
Xinhui Zhou
Keyword(s):  
Infectious Disease ◽  
Reaction Diffusion ◽  
Endemic Equilibrium ◽  
Heterogeneous Environment ◽  
Small Diffusion ◽  
Susceptible Population ◽  
Asymptotic Behaviors ◽  
Sis Epidemic Model ◽  
Sis Epidemic ◽  
Spontaneous Infection

<p style='text-indent:20px;'>In this paper, we investigate the effect of spontaneous infection and advection for a susceptible-infected-susceptible epidemic reaction-diffusion-advection model in a heterogeneous environment. The existence of the endemic equilibrium is proved, and the asymptotic behaviors of the endemic equilibrium in three cases (large advection; small diffusion of the susceptible population; small diffusion of the infected population) are established. Our results suggest that the advection can cause the concentration of the susceptible and infected populations at the downstream, and the spontaneous infection can enhance the persistence of infectious disease in the entire habitat.</p>

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