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Volume 33, Issue 1
A Single-Species Model with Random Perturbation under Contraceptive Control

Qiuying Li, Hanwu Liu & Jingqi Xin

Ann. Appl. Math., 33 (2017), pp. 1-5.

Published online: 2022-06

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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.

  • AMS Subject Headings

60H10, 34D23

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAM-33-1, author = {Li , QiuyingLiu , Hanwu and Xin , Jingqi}, title = {A Single-Species Model with Random Perturbation under Contraceptive Control}, journal = {Annals of Applied Mathematics}, year = {2022}, volume = {33}, number = {1}, pages = {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.

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/20590.html} }
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 -

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.

Qiuying Li, Hanwu Liu & Jingqi Xin. (2022). A Single-Species Model with Random Perturbation under Contraceptive Control. Annals of Applied Mathematics. 33 (1). 1-5. doi:
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