TY - JOUR
T1 - A Single-Species Model with Random Perturbation under Contraceptive Control
AU - Li , Qiuying
AU - Liu , Hanwu
AU - Xin , Jingqi
JO - Annals of Applied Mathematics
VL - 1
SP - 1
EP - 5
PY - 2022
DA - 2022/06
SN - 33
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/aam/20590.html
KW - contraceptive control, stochastic perturbation, stochastic mean
ultimately bounded, stochastic global asymptotic stability.
AB - <p style="text-align: justify;">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.</p>