Year: 2017
Author: Qiuying Li, Hanwu Liu, Jingqi Xin
Annals of Applied Mathematics, Vol. 33 (2017), Iss. 1 : pp. 1–5
Abstract
In this paper, we formulate a single-species model of contraception control with white noise on the death rate. Firstly, the uniqueness of global positive solution of the model is proved. Secondly, uniformly bounded mean of solution is obtained by using the Liyapunov function and Chebyshev inequality. Lastly, stochastic global asymptotic stability of zero equilibriums is analyzed.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2017-AAM-20590
Annals of Applied Mathematics, Vol. 33 (2017), Iss. 1 : pp. 1–5
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 5
Keywords: contraceptive control stochastic perturbation stochastic mean ultimately bounded stochastic global asymptotic stability.