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DOI: 10.23952/jnfa.2020.18
Received December 24, 2019; Accepted April 30, 2020; Published May 19, 2020
Abstract. Sheep brucellosis is one of the principal infective and contagious bacterial diseases among sheep populations in pastoral areas of China. In this paper, we establish a stochastic sheep brucellosis model by involving the effect of environmental white noise for the propagation process of brucellosis. We use the stochastic Lyapunov function theory to construct a suitable stochastic Lyapunov function for the existence of global positive solution. We also obtain the sufficient conditions for the disease extinction and the disease persistence.
How to Cite this Article:
Lei Dang, Xamxinur Abdurahman, Dynamics of a stochastic sheep brucellosis model with immigration, Journal of Nonlinear Functional Analysis, Vol. 2020 (2020), Article ID 18, pp. 1-18.