scholarly journals Stochastically Perturbed Epidemic Model with Time Delays

2012 ◽  
Vol 2012 ◽  
pp. 1-7 ◽  
Author(s):  
Tailei Zhang
Keyword(s):  
Stochastic Stability ◽  
Epidemic Model ◽  
Time Delays ◽  
Endemic Equilibrium ◽  
Stability Conditions ◽  
Stochastic Epidemic ◽  
Liapunov Functionals ◽  
Stochastic Epidemic Model ◽  
Stochastically Perturbed

We investigate a stochastic epidemic model with time delays. By using Liapunov functionals, we obtain stability conditions for the stochastic stability of endemic equilibrium.

scholarly journals Modeling the dynamics of novel coronavirus (COVID-19) via stochastic epidemic model

2021 ◽  
Vol 60 (4) ◽  
pp. 4121-4130
Author(s):  
Ghulam Hussain ◽  
Tahir Khan ◽  
Amir Khan ◽  
Mustafa Inc ◽  
Gul Zaman ◽  
...  
Keyword(s):  
Epidemic Model ◽  
Stochastic Epidemic ◽  
Stochastic Epidemic Model ◽  
Novel Coronavirus

Environmental variability in a stochastic epidemic model

2018 ◽  
Vol 329 ◽  
pp. 210-226 ◽  
Author(s):  
Yongli Cai ◽  
Jianjun Jiao ◽  
Zhanji Gui ◽  
Yuting Liu ◽  
Weiming Wang
Keyword(s):  
Epidemic Model ◽  
Environmental Variability ◽  
Stochastic Epidemic ◽  
Stochastic Epidemic Model

The transition probabilities of the general stochastic epidemic model

1975 ◽  
Vol 12 (3) ◽  
pp. 415-424 ◽  
Author(s):  
Richard J. Kryscio
Keyword(s):  
Stochastic Model ◽  
Convenient Method ◽  
Epidemic Model ◽  
Transition Probabilities ◽  
Stochastic Epidemic ◽  
General Stochastic Model ◽  
Stochastic Epidemic Model ◽  
Forward Equations ◽  
General Stochastic

Recently, Billard (1973) derived a solution to the forward equations of the general stochastic model. This solution contains some recursively defined constants. In this paper we solve these forward equations along each of the paths the process can follow to absorption. A convenient method of combining the solutions for the different paths results in a simplified non-recursive expression for the transition probabilities of the process.

Sign in / Sign up

Export Citation Format

Share Document