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具有分布时滞和食饵染病的捕食系统分支分析
引用本文:姬雪晖,裴永珍.具有分布时滞和食饵染病的捕食系统分支分析[J].赣南师范学院学报,2009,30(6):4-6.
作者姓名:姬雪晖  裴永珍
作者单位:天津工业大学理学院,天津,300160
基金项目:国家自然科学基金,江西省教育厅科技项日 
摘    要:讨论具有分布时滞和食饵染病捕食模型.以平均时滞作为分支参数,分析正平衡点的稳定性.证明了当时滞穿过某临界值时,出现Hopf分支.

关 键 词:分布时滞  Hopf分支  捕食系统

Bifurcation Analysis of a Prey-predator System with Disease and Distribution Delay in the Prey
JI Xue-hui,PEI Yong-zhen.Bifurcation Analysis of a Prey-predator System with Disease and Distribution Delay in the Prey[J].Journal of Gannan Teachers' College(Social Science(2)),2009,30(6):4-6.
Authors:JI Xue-hui  PEI Yong-zhen
Institution:( College of Science, Tianfin Polytechnic University, Tianjin 300160, China)
Abstract:A mathematical model dealing with a prey-predator system with disease and distribution delay in the prey is considered.Mathematical analysis of the model regarding stability of the positive point has been performed by using average time delay as bifurcation parameter.We show that Hopf bifurcation can occur as the delay time passes some critical value.
Keywords:distribution delay  Hopf bifurcation  prey-predator system\
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