The transition probabilities of the extended simple stochastic epidemic model and the Haskey model

1972 ◽  
Vol 9 (3) ◽  
pp. 471-485 ◽  
Author(s):  
Richard J. Kryscio
Keyword(s):  
Epidemic Model ◽  
Transition Probabilities ◽  
Cross Infection ◽  
Special System ◽  
Stochastic Epidemic ◽  
Stochastic Epidemic Model ◽  
Forward Equations ◽  
Kolmogorov Forward Equations

We present a solution to a special system of Kolmogorov forward equations. We use this result to present a useful expression for the transition probabilities of the extended simple stochastic epidemic model and an epidemic model involving cross-infection between two otherwise isolated groups.

The transition probabilities of the extended simple stochastic epidemic model and the Haskey model

1972 ◽  
Vol 9 (03) ◽  
pp. 471-485 ◽  
Author(s):  
Richard J. Kryscio
Keyword(s):  
Epidemic Model ◽  
Transition Probabilities ◽  
Cross Infection ◽  
Special System ◽  
Stochastic Epidemic ◽  
Stochastic Epidemic Model ◽  
Forward Equations ◽  
Kolmogorov Forward Equations

We present a solution to a special system of Kolmogorov forward equations. We use this result to present a useful expression for the transition probabilities of the extended simple stochastic epidemic model and an epidemic model involving cross-infection between two otherwise isolated groups.

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.

The transition probabilities of the general stochastic epidemic model

1975 ◽  
Vol 12 (03) ◽  
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.

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
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