scholarly journals Nontrivial periodic solution of a stochastic epidemic model with seasonal variation

2015 ◽  
Vol 45 ◽  
pp. 103-107 ◽  
Author(s):  
Yuguo Lin ◽  
Daqing Jiang ◽  
Taihui Liu
Keyword(s):  
Periodic Solution ◽  
Seasonal Variation ◽  
Epidemic Model ◽  
Stochastic Epidemic ◽  
Stochastic Epidemic Model ◽  
Nontrivial Periodic Solution

scholarly journals Dynamics for a stochastic delayed SIRS epidemic model

2020 ◽  
Vol 25 (5) ◽  
Author(s):  
Xiangyun Shi ◽  
Yimeng Cao ◽  
Xueyong Zhou
Keyword(s):  
Periodic Solution ◽  
Seasonal Variation ◽  
Global Existence ◽  
Positive Solutions ◽  
Epidemic Model ◽  
Sufficient Conditions ◽  
Sirs Epidemic Model ◽  
Nontrivial Periodic Solution ◽  
Well Posed ◽  
Disease Free

In this paper, we consider a stochastic delayed SIRS epidemic model with seasonal variation. Firstly, we prove that the system is mathematically and biologically well-posed by showing the global existence, positivity and stochastically ultimate boundneness of the solution. Secondly, some sufficient conditions on the permanence and extinction of the positive solutions with probability one are presented. Thirdly, we show that the solution of the system is asymptotical around of the disease-free periodic solution and the intensity of the oscillation depends of the intensity of the noise. Lastly, the existence of stochastic nontrivial periodic solution for the system is obtained.

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