scholarly journals A reaction-diffusion-advection SIS epidemic model in a spatially-temporally heterogeneous environment

2018 ◽  
Vol 23 (10) ◽  
pp. 4557-4578
Author(s):  
Danhua Jiang ◽  
◽  
Zhi-Cheng Wang ◽  
Liang Zhang
Keyword(s):  
Epidemic Model ◽  
Reaction Diffusion ◽  
Heterogeneous Environment ◽  
Sis Epidemic Model ◽  
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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