一类具有转移和治疗机制的随机结核病模型的平稳分布与灭绝

Abstract

Abstract: We considered a dynamic behavior of a class of tuberculosis transmission model with immigration and treatment mechanism under random perturbations. Firstly, the existence and uniqueness of a positive solution of the model were obtianed by Lyapunov analysis method. Secondly, it was proved that the model had unique stationary distribution by using Has’minskii theory. Finally, the conditions for extinction of the disease were obtained by stochastic analysis method.

Key words: stochastic tuberculosis model, stationary distribution, immigration and treatment, , ergodicity, extinction

CLC Number:

O211.63

XU Jiang, CAO Zhongwei, ZU Li. Stationary Distribution and Extinction of a Stochastic Tuberculosis Model with Immigration and Treatment Mechanism#br#[J].Journal of Jilin University Science Edition, 2019, 57(2): 235-242.

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Stationary Distribution and Extinction of a Stochastic Tuberculosis Model with Immigration and Treatment Mechanism#br#

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