具有质体非均匀恒化器模型的平衡态解  

Bifurcation Solutions and Stability of Predator-Prey System with Predator Saturation and Competition

作　　者：冯孝周[1,2] 李艳玲[2] 

机构地区：[1]西安工业大学理学院,陕西西安710032 [2]陕西师范大学数科院,陕西西安710062

出　　处：《生物数学学报》2013年第2期312-318,共7页Journal of Biomathematics

基　　金：国家自然科学基金(10726042);陕西省教育厅科学基础研究计划项目(12JK0865);西安工业大学校长基金(XAGDXJJ1136)

摘　　要：讨论了一类具有质体非均匀恒化器模型的平衡态解,首先利用上下解方法与极值原理得到恒化器模型的先验估计;然后利用不动点指标理论讨论恒化器模型正解的共存性,并且得到了正解存在的充分条件.In this paper, a competition model between plasmid-bearing and plasmid-free organisms in the unstirred chemostat is researched. Firstly, a priori estimation is obtained by use of upper and lower solution method and the maximum principle. Secondly, the sufficient condition of existence on the coexistence solutions are proved by applying fixed-point index theory.

关 键 词：恒化器模型 不动点指标 平衡态解 

分 类 号：O175.26[理学—数学]