共被期刊论文引用了4次
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| 1 | EFFECTS OF MEDIA COVERAGE AND TEMPORARY IMMUNITY TO A STOCHASTIC SEIR EPIDEMIC MODEL显示文摘A type of SEIR epidemic model with media coverage and temporary immunity is investigated in this paper. The existence and uniqueness of the global positive solution with any positive initial value is proved. Under the condition R0s> 1, we prove that the disease is persistent in the mean for a long run. Furthermore, by constructing suitable Lyapunov functions, some sufficient conditions that guarantee the existence of stationary distribution are derived. We also obtain that, if the condition R0e< 1 is satisfied, then the disease is extinct with an exponential rate. As a consequence, some examples and numerical simulation are demonstrated to show the validity and feasibility of the theoretical results. | Jing Zhang Fengying Wei | 2020 | Annals of Applied Mathematics2020，36，4： | 0 |
| 2 | Dynamics of a stochastic periodic SIRS model with time delay显示文摘Dynamical behaviors of a siocluustic periodic SIRS epidemic model with time delay are investigated.By constructing suitable Lyapunov functions and applying Ito's formula,the existence of the global positive solution and the property of stochastically ultimate boundedness of model(1.1)are proved.Moreover,the extinction and the persistence of the disease are established.The results are verified by numerical simulations. | Xiangyun Shi Yimeng Cao | 2020 | International Journal of Biomathematics2020，13，8： | 0 |
| 3 | A stochastic vaccinated epidemic model incorporating Levy processes with a general awareness-induced incidence显示文摘In this paper,we investigate a stochastic vaccinated epidemic model with a general awareness-induced incidence perturbed by Levy noise.First,we show that this model has a unique global positive solution.Therefore,we establish the dynamic behavior of the solution around both disease-free and endemic equilibrium points.Furthermore,when R_(0)>1,we give sufficient conditions for the existence of an ergodic stationary distribution to the model when the jump part in the Levy noise is null.Finally,we present some examples to illustrate the analytical results by numerical simulations. | Khadija Akdim | 2021 | International Journal of Biomathematics2021，14，6： | 0 |
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