Academic Journal
Global Attractivity of an Integrodifferential Model of Mutualism
| العنوان: | Global Attractivity of an Integrodifferential Model of Mutualism |
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| المؤلفون: | Xiangdong Xie, Fengde Chen, Kun Yang, Yalong Xue |
| المصدر: | Abstract and Applied Analysis, Vol 2014 (2014) |
| بيانات النشر: | Wiley, 2014. |
| سنة النشر: | 2014 |
| المجموعة: | LCC:Mathematics |
| مصطلحات موضوعية: | Mathematics, QA1-939 |
| الوصف: | Sufficient conditions are obtained for the global attractivity of the following integrodifferential model of mutualism: dN1(t)/dt=r1N1(t)[((K1+α1∫0∞J2(s)N2(t-s)ds)/(1+∫0∞J2(s)N2(t-s)ds))-N1(t)], dN2(t)/dt=r2N2(t)[((K2+α2∫0∞J1(s)N1(t-s)ds)/(1+∫0∞J1(s)N1(t-s)ds))-N2(t)], where ri,Ki, and αi, i=1,2, are all positive constants. Consider αi>Ki, i=1,2. Consider Ji∈C([0,+∞),[0,+∞)) and ∫0∞Ji(s)ds=1, i=1,2. Our result shows that conditions which ensure the permanence of the system are enough to ensure the global stability of the system. The result not only improves but also complements some existing ones. |
| 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: | 10.1155/2014/928726 |
| URL الوصول: | https://doaj.org/article/c9ffad0cc00145bdb9b015565f457617 |
| رقم الانضمام: | edsdoj.9ffad0cc00145bdb9b015565f457617 |
| قاعدة البيانات: | Directory of Open Access Journals |
Full Text Finder | تدمد: | 10853375 16870409 |
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| DOI: | 10.1155/2014/928726 |