The Experts below are selected from a list of 59364 Experts worldwide ranked by ideXlab platform
Tao Feng - One of the best experts on this subject based on the ideXlab platform.
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global analysis of a vector host Epidemic Model in stochastic environments
Journal of The Franklin Institute-engineering and Applied Mathematics, 2019Co-Authors: Tao Feng, Zhipeng Qiu, Yi SongAbstract:Abstract In this paper, a vector-host Epidemic Model is formulated from a classical deterministic framework to a stochastic differential equation. The Model incorporates the potential impact of the free pathogens as well as the random environment on disease dynamics. The dynamics of the vector-host Epidemic Model is analyzed for the deterministic and stochastic cases, respectively. In the deterministic case, the global dynamics of the system is determined by the criteria R 0 , i.e., if R 0 ≤ 1 the disease-free equilibrium is globally asymptotically stable; if R 0 > 1 the unique endemic equilibrium is globally asymptotically stable. In the stochastic case, the stochastic system admits a unique ergodic stationary distribution if R ˜ 0 > 1 , which indicates that the disease can be persistent in vivo. Finally, numerical simulations are conducted to verify these analytical results.
Weiming Wang - One of the best experts on this subject based on the ideXlab platform.
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Traveling Wave Solutions in a Reaction-Diffusion Epidemic Model
Abstract and Applied Analysis, 2013Co-Authors: Sheng Wang, Weiming WangAbstract:We investigate the traveling wave solutions in a reaction-diffusion Epidemic Model. The existence of the wave solutions is derived through monotone iteration of a pair of classical upper and lower solutions. The traveling wave solutions are shown to be unique and strictly monotonic. Furthermore, we determine the critical minimal wave speed.
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Stability analysis of an Epidemic Model with diffusion and stochastic perturbation
Communications in Nonlinear Science and Numerical Simulation, 2012Co-Authors: Feng Rao, Weiming WangAbstract:Abstract In this paper, we investigate the stability of an Epidemic Model with diffusion and stochastic perturbation. We first show both the local and global stability of the endemic equilibrium of the deterministic Epidemic Model by analyzing corresponding characteristic equation and Lyapunov function. Second, for the corresponding reaction–diffusion Epidemic Model, we present the conditions of the globally asymptotical stability of the endemic equilibrium. And we carry out the analytical study for the stochastic Model in details and find out the conditions for asymptotic stability of the endemic equilibrium in the mean sense. Furthermore, we perform a series of numerical simulations to illustrate our mathematical findings.
Yi Song - One of the best experts on this subject based on the ideXlab platform.
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global analysis of a vector host Epidemic Model in stochastic environments
Journal of The Franklin Institute-engineering and Applied Mathematics, 2019Co-Authors: Tao Feng, Zhipeng Qiu, Yi SongAbstract:Abstract In this paper, a vector-host Epidemic Model is formulated from a classical deterministic framework to a stochastic differential equation. The Model incorporates the potential impact of the free pathogens as well as the random environment on disease dynamics. The dynamics of the vector-host Epidemic Model is analyzed for the deterministic and stochastic cases, respectively. In the deterministic case, the global dynamics of the system is determined by the criteria R 0 , i.e., if R 0 ≤ 1 the disease-free equilibrium is globally asymptotically stable; if R 0 > 1 the unique endemic equilibrium is globally asymptotically stable. In the stochastic case, the stochastic system admits a unique ergodic stationary distribution if R ˜ 0 > 1 , which indicates that the disease can be persistent in vivo. Finally, numerical simulations are conducted to verify these analytical results.
Daqing Jiang - One of the best experts on this subject based on the ideXlab platform.
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influence of stochastic perturbation on an siri Epidemic Model with relapse
Applicable Analysis, 2020Co-Authors: Qun Liu, Daqing Jiang, Tasawar Hayat, Ahmed AlsaediAbstract:In this paper, we investigate a stochastic susceptible-infective-removed-infective (SIRI) Epidemic Model with relapse. We show that the densities of the distributions of the solutions can converge ...
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Periodic solution for a stochastic nonautonomous SIR Epidemic Model with logistic growth
Physica A: Statistical Mechanics and its Applications, 2016Co-Authors: Qun Liu, Ningzhong Shi, Daqing Jiang, Tasawar Hayat, Ahmed AlsaediAbstract:In this paper, we analyze the dynamics of a stochastic nonautonomous SIR Epidemic Model, in which population growth is subject to logistic growth in absence of disease. For the periodic system, we present sufficient conditions for persistence of the Epidemic and in the case of persistence, by constructing some suitable Lyapunov functions, we show that there is at least one nontrivial positive periodic solution. One of the most important findings is that random perturbations may be beneficial to formate the periodic solution to the stochastic nonautonomous SIR Epidemic Model.
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nontrivial periodic solution of a stochastic Epidemic Model with seasonal variation
Applied Mathematics Letters, 2015Co-Authors: Daqing Jiang, Yuguo Lin, Taihui LiuAbstract:Abstract In this paper, we consider a stochastic SIR Epidemic Model with seasonal variation. First, we obtain the threshold of our Model which determines whether the Epidemic occurs or not. In the case of persistence, we prove that there is a nontrivial positive periodic solution.
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threshold behavior in a stochastic sis Epidemic Model with standard incidence
Journal of Dynamics and Differential Equations, 2014Co-Authors: Yuguo Lin, Daqing JiangAbstract:In this paper, we consider a stochastic SIS Epidemic Model with perturbed disease transmission coefficient. We discuss the threshold behavior in the sense that if \(\mathcal {R}_0^s 1\), the densities of the distributions of the solution can converge in \(L^1\) to an invariant density.
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the threshold of a stochastic sis Epidemic Model with vaccination
Applied Mathematics and Computation, 2014Co-Authors: Daqing Jiang, Yanan ZhaoAbstract:This paper is concerned with the long time behavior of a stochastic SIS Epidemic Model with vaccination. Sufficient conditions for extinction and persistence in mean are obtained. We find a threshold of the stochastic Model which determines the outcome of the disease in case the white noises are small. At last, some numerical simulations are carried out to support our results.
Kyle Zollovenecek - One of the best experts on this subject based on the ideXlab platform.
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emergence of oscillations in a simple Epidemic Model with demographic data
Royal Society Open Science, 2020Co-Authors: Meredith L Greer, Raj Saha, Alex R Gogliettino, Chialin Yu, Kyle ZollovenecekAbstract:A simple susceptible–infectious–removed Epidemic Model for smallpox, with birth and death rates based on historical data, produces oscillatory dynamics with remarkably accurate periodicity. Stochas...