Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 545, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.physa.2019.122852
Keywords
Epidemic model; Nonlinear incidence rate; Partial vaccination; Independent Gaussian white noise; Stationary distribution
Categories
Funding
- National Natural Science Foundation of China [11201075, 11601085, 61911530398]
- Natural Science Foundation of Fujian Province of China [2016J01015]
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A stochastic susceptible-infected-vaccinated model with a general incidence rate and varying population size is considered in this paper. By means of constructing a suitable Lyapunov function, the sufficient conditions for the extinction are derived. Further, some conditions that guarantee the existence of a unique stationary distribution is obtained. The main results are illustrated by computer simulations. (C) 2019 Elsevier B.V. All rights reserved.
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