THE EXTINCTION OF A NON-AUTONOMOUS ALLELOPATHIC PHYTOPLANKTON MODEL WITH FEEDBACK CONTROLS

• 作者: Fengde Chen Kun Yang Liang Zhao Xiaojie Gong
• 来源期刊: 微分方程年刊：英文版
• 学科: 生物学
• 关键词: 物种灭绝 浮游植物 反馈控制 非自治 模型 化感 Lyapunov函数 消光作用
• 年，卷（期）: 2014,（2）
• 页码范围: 244-252
• 页数: 9页
• 分类号: Q915.864

摘要

A non-autonomous allelopathic phytoplankton model with feedback controls is considered in this paper.By constructing some suitable Lyapunov type extinction functions,some sufficient conditions for the extinction of the system are obtained.For the autonomous case,by constructing a suitable Lyapunov function,we show that one species is extinct and the rest species is globally attractive.Our results supplement some known results.