Academic Journal
Global Attractivity and Extinction of a Discrete Competitive System with Infinite Delays and Single Feedback Control
العنوان: | Global Attractivity and Extinction of a Discrete Competitive System with Infinite Delays and Single Feedback Control |
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المؤلفون: | Yalong Xue, Xiangdong Xie, Qifa Lin, Fengde Chen |
المصدر: | Discrete Dynamics in Nature and Society, Vol 2018 (2018) |
بيانات النشر: | Hindawi Limited, 2018. |
سنة النشر: | 2018 |
المجموعة: | LCC:Mathematics |
مصطلحات موضوعية: | Mathematics, QA1-939 |
الوصف: | A nonautonomous discrete two-species competition system with infinite delays and single feedback control is considered in this paper. Based on the discrete comparison theorem, a set of sufficient conditions which guarantee the permanence of the system is obtained. Then, by constructing some suitable discrete Lyapunov functionals, some sufficient conditions for the global attractivity and extinction of the system are obtained. It is shown that, by choosing some suitable feedback control variable, one of two species will be driven to extinction. |
نوع الوثيقة: | article |
وصف الملف: | electronic resource |
اللغة: | English |
تدمد: | 1026-0226 1607-887X |
Relation: | https://doaj.org/toc/1026-0226; https://doaj.org/toc/1607-887X |
DOI: | 10.1155/2018/1893181 |
URL الوصول: | https://doaj.org/article/5cd2b714a473433194cd35562b8eec2a |
رقم الانضمام: | edsdoj.5cd2b714a473433194cd35562b8eec2a |
قاعدة البيانات: | Directory of Open Access Journals |
تدمد: | 10260226 1607887X |
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DOI: | 10.1155/2018/1893181 |