A general stochastic model for studying time evolution of transition networks

2016 ◽  
Vol 464 ◽  
pp. 198-210 ◽  
Author(s):  
Choujun Zhan ◽  
Chi K. Tse ◽  
Michael Small
Keyword(s):  
Stochastic Model ◽  
Time Evolution ◽  
General Stochastic Model ◽  
General Stochastic ◽  
Transition Networks

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