Alebraheem, Jawdat and Mohammed, Mogtaba and Tayel, Ismail M. and Aziz, Muhamad Hifzhudin Noor (2024) Stochastic prey-predator model with small random immigration. AIMS Mathematics, 9 (6). pp. 14982-14996. ISSN 2473-6988, DOI https://doi.org/10.3934/math.2024725.
Full text not available from this repository.Abstract
In this paper, we introduce a novel stochastic prey-predator model under random small immigration. Mainly, we prove boundedness for the solution of the model using probabilistic and analytic types of inequalities. Furthermore, possible conditions on the immigration for achieving stochastic square stability are obtained. The immigration of both prey and predator is assumed to be either constant and stochastically perturbed or proportional to the population and stochastically perturbed. In all cases, we arrived at the fact that stability can only be achieved if the immigration is small enough. We also show that as random immigration increases, the dynamic becomes destabilized and could lead to chaos. Lastly, we perform a computational analysis in order to verify the obtained theoretical results.
| Item Type: | Article |
|---|---|
| Funders: | Deanship of Postgraduate Studies and Scientific Research at Majmaah University (ICR-2024-1036) |
| Uncontrolled Keywords: | stochastic stability; prey-predator model; boundedness; small random immigration Mathematics Subject Classification; 92-11 |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Institute of Mathematical Sciences |
| Depositing User: | Ms. Juhaida Abd Rahim |
| Date Deposited: | 13 Nov 2024 02:50 |
| Last Modified: | 13 Nov 2024 02:50 |
| URI: | http://eprints.um.edu.my/id/eprint/45836 |
Actions (login required)
 |
View Item |
