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A SINGLE SPECIE MODEL WITH RANDOM PERTURBATION UNDER CONTRACEPTIVE CONTROL
Authors:Qiuying Li  Hanwu Liu and Jingqi Xin
Institution:Dept. of Math., Yuncheng University, Yuncheng 044000, Shanxi, PR China,Dept. of Math., Yuncheng University, Yuncheng 044000, Shanxi, PR China and Dept. of Math., Yuncheng University, Yuncheng 044000, Shanxi, PR China
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.
Keywords:contraceptive control  stochastic perturbation  stochastic mean ultimately bounded  stochastic global asymptotic stability
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