دورية أكاديمية
Dynamical behaviors of a Lotka-Volterra competition system with the Ornstein-Uhlenbeck process
| العنوان: | Dynamical behaviors of a Lotka-Volterra competition system with the Ornstein-Uhlenbeck process |
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| المؤلفون: | Huili Wei, Wenhe Li |
| المصدر: | Mathematical Biosciences and Engineering, Vol 20, Iss 5, Pp 7882-7904 (2023) |
| بيانات النشر: | AIMS Press, 2023. |
| سنة النشر: | 2023 |
| المجموعة: | LCC:Biotechnology LCC:Mathematics |
| مصطلحات موضوعية: | lotka-volterra competition system, ornstein-uhlenbeck process, extinction, stationary distribution, probability density function, Biotechnology, TP248.13-248.65, Mathematics, QA1-939 |
| الوصف: | The competitive relationship is one of the important studies in population ecology. In this paper, we investigate the dynamical behaviors of a two-species Lotka-Volterra competition system in which intrinsic rates of increase are governed by the Ornstein-Uhlenbeck process. First, we prove the existence and uniqueness of the global solution of the model. Second, the extinction of populations is discussed. Moreover, a sufficient condition for the existence of the stationary distribution in the system is obtained, and, further, the formulas for the mean and the covariance of the probability density function of the corresponding linearized system near the equilibrium point are obtained. Finally, numerical simulations are applied to verify the theoretical results. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 1551-0018 |
| Relation: | https://doaj.org/toc/1551-0018 |
| DOI: | 10.3934/mbe.2023341?viewType=HTML |
| DOI: | 10.3934/mbe.2023341 |
| URL الوصول: | https://doaj.org/article/81513ce0ec8045edaa39b4c0dd87a668 |
| رقم الأكسشن: | edsdoj.81513ce0ec8045edaa39b4c0dd87a668 |
| قاعدة البيانات: | Directory of Open Access Journals |
Full Text Finder | تدمد: | 15510018 |
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| DOI: | 10.3934/mbe.2023341?viewType=HTML |