دورية أكاديمية
A Study of a Diseased Prey-Predator Model with Refuge in Prey and Harvesting from Predator
| العنوان: | A Study of a Diseased Prey-Predator Model with Refuge in Prey and Harvesting from Predator |
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| المؤلفون: | Ahmed Sami Abdulghafour, Raid Kamel Naji |
| المصدر: | Journal of Applied Mathematics, Vol 2018 (2018) |
| بيانات النشر: | Wiley, 2018. |
| سنة النشر: | 2018 |
| المجموعة: | LCC:Mathematics |
| مصطلحات موضوعية: | Mathematics, QA1-939 |
| الوصف: | In this paper, a mathematical model of a prey-predator system with infectious disease in the prey population is proposed and studied. It is assumed that there is a constant refuge in prey as a defensive property against predation and harvesting from the predator. The proposed mathematical model is consisting of three first-order nonlinear ordinary differential equations, which describe the interaction among the healthy prey, infected prey, and predator. The existence, uniqueness, and boundedness of the system’ solution are investigated. The system's equilibrium points are calculated with studying their local and global stability. The persistence conditions of the proposed system are established. Finally the obtained analytical results are justified by a numerical simulation. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 1110-757X 1687-0042 |
| Relation: | https://doaj.org/toc/1110-757X; https://doaj.org/toc/1687-0042 |
| DOI: | 10.1155/2018/2952791 |
| URL الوصول: | https://doaj.org/article/deea8e1a266740d288473794ac9a622e |
| رقم الأكسشن: | edsdoj.8e1a266740d288473794ac9a622e |
| قاعدة البيانات: | Directory of Open Access Journals |
Full Text Finder | تدمد: | 1110757X 16870042 |
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| DOI: | 10.1155/2018/2952791 |