Dynamics of a stochastic tuberculosis model with antibiotic resistance

Qun Liu, Daqing Jiang, Tasawar Hayat and Ahmed Alsaedi

Chaos, Solitons & Fractals, 2018, vol. 109, issue C, 223-230

Abstract: In this paper, we study a stochastic tuberculosis model with antibiotic resistance. By constructing a suitable stochastic Lyapunov function, we establish sufficient conditions for the existence and uniqueness of an ergodic stationary distribution of the positive solutions to the model. Moreover, we obtain sufficient conditions for extinction of the disease. The existence of a stationary distribution implies stochastic weak stability.

Keywords: Stochastic tuberculosis model; Antibiotic resistance; Stationary distribution; Ergodicity; Extinction (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:109:y:2018:i:c:p:223-230

DOI: 10.1016/j.chaos.2018.02.033

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