2篇
您的检索式：作者名="WEN Xiangdan"
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| 1 | Long-Time Behavior and Density Function of a Stochastic Chemostat Model with Degenerate Diffusion显示文摘This paper considers a stochastic chemostat model with degenerate diffusion.Firstly,the Markov semigroup theory is used to establish sufficient criteria for the existence of a unique stable stationary distribution.The authors show that the densities of the distributions of the solutions can converge in L^(1)to an invariant density.Then,conditions are obtained to guarantee the washout of the microorganism.Furthermore,through solving the corresponding Fokker-Planck equation,the authors give the exact expression of density function around the positive equilibrium of deterministic system.Finally,numerical simulations are performed to illustrate the theoretical results. | GAO Miaomiao JIANG Daqing WEN Xiangdan | 2022 | Journal of Systems Science & Complexity2022，35，3： | 0 |
| 2 | Stationary distribution and extinction for a stochastic two-compartment model of B-cell chronic lymphocytic leukemia显示文摘In this paper,we study the dynamical behavior of a stochastic two-compartment model of B-cell chronic lymphocytic leukemia,which is perturbed by white noise.Firstly,by constructing suitable Lyapunov functions,we establish sufficient conditions for the existence of a unique ergodic stationary distribution.Then,conditions for extinction of the disease are derived.Furthermore,numerical simulations are presented for supporting the theoretical results.Our results show that large noise intensity may contribute to extinction of the disease. | Miaomiao Gao Daqing Jiang Xiangdan Wen | 2021 | International Journal of Biomathematics2021，14，8： | 0 |
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