中山大学学报(自然科学版)2011，Vol.50Issue(3)：11-16,6.
一类无搅拌Chemostat模型平衡态正解存在性与数值模拟
Existences and Numerical Simulation of Positive Solution for a Class of Unstirred Chemostat Model
摘要
Abstract
The coexistence of the steady-state solutions of an unstirred multiple food chain Chemostat model with Beddington-DeAngelis functional response is discussed. The necessary condition is given by comparison theorem of eigenvalue. By using degree theory, index of fixed point of map in cone, and spectral radius of differentiation operator theory, a sufficient condition is obtained for the existence of steady state positive solution. The coexistence is verified by numerical simulation with MATLAB software.关键词
Chemostat/特征值比较原理/不动点指数/数值模拟Key words
Chemostat/ comparison theorem of eigenvalue/ index of fixed point/ numerical simulation分类
数理科学引用本文复制引用
姜洪领,王利娟..一类无搅拌Chemostat模型平衡态正解存在性与数值模拟[J].中山大学学报(自然科学版),2011,50(3):11-16,6.基金项目
国家自然科学基金资助项目(10971124) （10971124）
宝鸡文理学院重点资助项目(Zk10116,Zk0691) （Zk10116,Zk0691）
