Dynamics of a stochastic tuberculosis model with constant recruitment and varying total population size

Qun Liu, Daqing Jiang, Ningzhong Shi, Tasawar Hayat and Ahmed Alsaedi

Physica A: Statistical Mechanics and its Applications, 2017, vol. 469, issue C, 518-530

Abstract: In this paper, we develop a mathematical model for a tuberculosis model with constant recruitment and varying total population size by incorporating stochastic perturbations. By constructing suitable stochastic Lyapunov functions, we establish sufficient conditions for the existence of an ergodic stationary distribution as well as extinction of the disease to the stochastic system.

Keywords: Stochastic tuberculosis model; Stationary distribution; Extinction; Lyapunov function (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:469:y:2017:i:c:p:518-530

DOI: 10.1016/j.physa.2016.11.053

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