scholarly journals Analysis of a diffusive SIS epidemic model with spontaneous infection and a linear source in spatially heterogeneous environment

2020 ◽  
Vol 25 (5) ◽  
pp. 1999-2019
Author(s):  
Siyao Zhu ◽  
◽  
Jinliang Wang
Keyword(s):  
Epidemic Model ◽  
Heterogeneous Environment ◽  
Linear Source ◽  
Sis Epidemic Model ◽  
Sis Epidemic ◽  
Spontaneous Infection

scholarly journals Effect of diffusion in a spatial SIS epidemic model with spontaneous infection

2017 ◽  
Vol 22 (11) ◽  
pp. 0-0
Author(s):  
Yachun Tong ◽  
◽  
Inkyung Ahn ◽  
Zhigui Lin ◽  
◽  
...  
Keyword(s):  
Epidemic Model ◽  
Sis Epidemic Model ◽  
Sis Epidemic ◽  
Spontaneous Infection

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>

scholarly journals Endemic Behaviour of SIS Epidemics with General Infectious Period Distributions

2014 ◽  
Vol 46 (01) ◽  
pp. 241-255 ◽  
Author(s):  
Peter Neal
Keyword(s):  
Epidemic Model ◽  
Branching Process ◽  
Endemic Equilibrium ◽  
Infectious Period ◽  
Sis Epidemic Model ◽  
Branching Process With Immigration ◽  
Sis Epidemic ◽  
Sis Epidemics ◽  
Surprising Observation

We study the endemic behaviour of a homogeneously mixing SIS epidemic in a population of size N with a general infectious period, Q, by introducing a novel subcritical branching process with immigration approximation. This provides a simple but useful approximation of the quasistationary distribution of the SIS epidemic for finite N and the asymptotic Gaussian limit for the endemic equilibrium as N → ∞. A surprising observation is that the quasistationary distribution of the SIS epidemic model depends on Q only through

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