节点文献
双营养Chemostat模型周期解的全局吸引性
The Gobal Attractivity of Periodic Solution of a Two-Nutrient Chemostat Model
【摘要】 研究含有时滞的双营养单种群Chemostat模型周期解的全局吸引性,首先利用强正、凹算子理论给出了系统存在唯一正周期解的充分条件,然后利用泛函微分方程的单调理论得到了正周期解的全局吸引性。
【Abstract】 The global attractivity of periodic solution of a two-nutrient chemostat model is considered. The model incorporates time delays due to lapse between the uptake of nutrient by cells and the incorporation of the biomass. By developing the theory of the concave operators to functional differential equations, the sufficient conditions for the unique periodic solution are established, then the global attractivity of this periodic solution is proved by using the monotone theory of functional differential equations.
【关键词】 恒化器;
周期解;
全局吸引;
双营养;
时滞;
【Key words】 Chemostat; Periodic solution; Global attractivity; Two-nutrient; Delay;
【Key words】 Chemostat; Periodic solution; Global attractivity; Two-nutrient; Delay;
【基金】 国家自然科学基金!(19771067)
- 【文献出处】 生物数学学报 ,Journal of Biomathematics , 编辑部邮箱 ,2000年04期
- 【分类号】Q141
- 【被引频次】14
- 【下载频次】131