Dynamics of Competitive Stochastic Predator-Prey Model with Holling Type II under Small Random Immigration
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i2.6097Keywords:
Stochastic predator-prey model; Persistence; Extinction; Small random immigrationAbstract
In this paper, we introduce a novel competitive stochastic predator-prey model by means of Holling type II with small random immigration. A Series of analytical results are conducted on the model such as the boundedness of the model’s solution, stochastic mean square stability, and the conditions of the persistence and extinction of the predator-prey population. All analytical results were validated with numerical simulations by choosing different sets of small random immigration. Conditions on the random immigration under which the system is stochastically stable are specified. In addition, small immigration has been shown to have a great impact on persistence and extinction of the system, which can play an important role in species conservation, especially by controlling the conditions of stochastic small immigration.
Downloads
Published
Issue
Section
License
Copyright (c) 2025 Mogtaba Mohammed, Jawdat Alebraheem, Ismail Tayel , Muhamad Hifzhudin
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.
By agreeing to this statement, you acknowledge that:
- You retain full copyright over your work.
- The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
- This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.