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Persistence in a Stochastic SEIR Model with Constant Immigration in Incubation Period
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作者 徐敏 胡良剑 《Journal of Donghua University(English Edition)》 EI CAS 2016年第4期649-651,共3页
A kind of stochastic susceptible-exposed but not infectiousinfectious-removed (SEIR) model with constant immigration in incubation period is presented, based on a deterministic SEIR model, via the technique of paramet... A kind of stochastic susceptible-exposed but not infectiousinfectious-removed (SEIR) model with constant immigration in incubation period is presented, based on a deterministic SEIR model, via the technique of parameter perturbation which is standard in stochastic population modeling. The influence of the environmental noise as a standard Gaussian white noise on the epidemics' transmission is studied. Furthermore,the condition for the epidemics' persistence is obtained by formulating the corresponding function and using It 's formula. And the asymptotic behavior of the model near the endemic disease equilibrium is also studied. In this way, the decision support is provided in the application of this kind of stochastic SEIR model on the epidemics' prevention and control. 展开更多
关键词 perturbation stochastic asymptotic persistence removed deterministic incubation endemic exposed epidemic
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Extinction and Persistent of a Stochastic Multi-group SIR Epidemic Model
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作者 Xiaojing Zhong Feiqi Deng 《Journal of Control Science and Engineering》 2013年第1期13-22,共10页
We establish a stochastic differential equation epidemic model of multi-group SIR type based on the deterministic multi-group SIR mode. Then, we define the basic reproduction number R0^S and show that it is a sharp th... We establish a stochastic differential equation epidemic model of multi-group SIR type based on the deterministic multi-group SIR mode. Then, we define the basic reproduction number R0^S and show that it is a sharp threshold for the dynamic of the stochastic multi-group SIR model. More specially, if R0^S 〈 1, then the disease-free equilibrium will be asymptotically stable which means the disease will die out, if R0^S 〉 1, the disease-free equilibrium will unstable, and our model will positively recurrence to a positive domain which implies the persistence of our model. Numerical simulation examples are carried out to substantiate the analytical results. 展开更多
关键词 stochastic multi-group SIR model threshold dynamics positive recurrence stochastic persistence.
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Analysis on stochastic dynamics of two-consumers-one-resource competing systems with Beddington-DeAngelis functional response 被引量:1
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作者 Shufen Zhao 《International Journal of Biomathematics》 SCIE 2021年第2期1-14,共14页
In this paper,stochastic dynamics with Lévy noise of two-consumers-one-resource competing systems with Beddington–DeAngelis functional response are considered.We first show the existence of the global positive s... In this paper,stochastic dynamics with Lévy noise of two-consumers-one-resource competing systems with Beddington–DeAngelis functional response are considered.We first show the existence of the global positive solution,then discuss the effects of noises on the extinction of the species and the stochastic persistence of the species.In the meanwhile,numerical simulations are carried to support results.Finally,we show the existence of the stationary distribution for a special case. 展开更多
关键词 Levy noise stochastic persistence stationary distribution
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