Persistence and distribution of a stochastic susceptible–infected–removed epidemic model with varying population size

2017 ◽  
Vol 483 ◽  
pp. 386-397 ◽  
Author(s):  
Lihong Chen ◽  
Fengying Wei
Keyword(s):  
Population Size ◽  
Epidemic Model ◽  
Varying Population

Dynamics of a stochastic heroin epidemic model with bilinear incidence and varying population size

2019 ◽  
Vol 12 (01) ◽  
pp. 1950005 ◽  
Author(s):  
Shitao Liu ◽  
Liang Zhang ◽  
Xiao-Bing Zhang ◽  
Aibing Li
Keyword(s):  
Numerical Simulations ◽  
Population Size ◽  
Stationary Distribution ◽  
Epidemic Model ◽  
Lyapunov Functions ◽  
Drug Abusers ◽  
Analytical Results ◽  
Varying Population ◽  
Better Than

We investigate a stochastic heroin epidemic model with bilinear incidence and varying population size. Sufficient criteria for the extinction of the drug abusers and the existence of ergodic stationary distribution for the model are established by constructing suitable stochastic Lyapunov functions. By analyzing the sensitivity of the threshold of spread, we obtain that prevention is better than cure. Numerical simulations are carried out to confirm the analytical results.

The Wright–Fisher model with varying selection

1986 ◽  
Vol 23 (02) ◽  
pp. 504-508
Author(s):  
N. C. Weber
Keyword(s):  
Population Growth ◽  
Population Size ◽  
Sufficient Conditions ◽  
Selective Advantage ◽  
Fisher Model ◽  
Ultimate Homozygosity ◽  
Varying Population

The Wright–Fisher model with varying population size is examined in the case where the selective advantage varies from generation to generation. Models are considered where the selective advantage is not always in favour of a particular genotype. Sufficient conditions in terms of the selection coefficients and the population growth are given to ensure ultimate homozygosity.

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