دورية أكاديمية
Dynamical Behavior of a Stochastic Food-Chain System with Beddington-DeAngelis Functional Response
| العنوان: | Dynamical Behavior of a Stochastic Food-Chain System with Beddington-DeAngelis Functional Response |
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| المؤلفون: | Yanming Ge, Zigen Song |
| المصدر: | Abstract and Applied Analysis, Vol 2014 (2014) |
| بيانات النشر: | Wiley, 2014. |
| سنة النشر: | 2014 |
| المجموعة: | LCC:Mathematics |
| مصطلحات موضوعية: | Mathematics, QA1-939 |
| الوصف: | We investigate a stochastic Food-Chain System dx(t)=[r1(t)-a11(t)x-(a12(t)y/(1+β1(t)x+γ1(t)y))]xdt+σ1(t)xdB1(t), dy(t)=[r2(t)-a21(t)y+(a22(t)x/(1+β1(t)x+γ1(t)y))-(a23(t)z/(1+β2(t)y+γ2(t)z))]ydt+σ2(t)ydB2(t), dz(t)=[-r3(t)+(a31(t)y/(1+β2(t)y+γ2(t)z))-a32(t)z]zdt+σ3(t)zdB3(t), where Bi(t), i = 1,2,3, is a standard Brownian motion. Firstly, the existence, the uniqueness, and the positivity of the solution are proved. Secondly, the stochastically ultimate boundedness of the system is investigated. Thirdly, the boundedness of moments and upper-growth rate of the solution are obtained. Then the global attractivity of the system is discussed. Finally, the main results are illustrated by several examples. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 1085-3375 1687-0409 |
| Relation: | https://doaj.org/toc/1085-3375; https://doaj.org/toc/1687-0409 |
| DOI: | 10.1155/2014/426702 |
| URL الوصول: | https://doaj.org/article/10ebca1f2f0d4b89923c2191e73a985c |
| رقم الأكسشن: | edsdoj.10ebca1f2f0d4b89923c2191e73a985c |
| قاعدة البيانات: | Directory of Open Access Journals |
Full Text Finder | تدمد: | 10853375 16870409 |
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| DOI: | 10.1155/2014/426702 |