A Single-Species Model with Random Perturbation under Contraceptive Control

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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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