具有反馈控制的非自治两种群浮游生物相克系统的持久性  

The permanence of a non-autonomous allelopathic phytoplankton model with feedback controls

作　　者：赵亮[1] 陈凤德[1] 杨坤[1] 

机构地区：[1]福州大学数学与计算机科学学院,福建福州350116

出　　处：《闽江学院学报》2014年第2期5-9,共5页Journal of Minjiang University

基　　金：国家自然科学基金项目(11201075);福建省自然科学基金项目(2011J01007)

摘　　要：研究一类具有反馈控制的非自治两种群浮游生物相克系统.借助于微分方程的比较原理和一个积分不等式,得到了一组保证系统持久的充分性条件.结果表明在原系统持久下,反馈控制变量对系统的持久性没有影响.所得结果说明文献[2]的持久性条件中有关反馈控制变量的条件限制是多余的,由此实质性地改进了文献[2]的结果.A non-autonomous allelopathic phytoplankton model with feedback controls is investigated in this paper. By using comparison theorem of differential equation, a set of sufficient conditions for the permanence of the system is obtained. Our result shows that feedback controls have no influence on the permanence of the system. Our result shows that the conditions on feedback controls in literature is re- dundant, and we essentially improve one of the main results of literature [ 2 ].

关 键 词：浮游生物 竞争 毒素 持久性 

分 类 号：O175.14[理学—数学]