QUALITATIVE ANALYSIS FOR PREDATOR-PREY SYSTEMS WITH TIME DELAYS AND SIMPLIFIED HOLLING TYPE-IV FUNCTIONAL RESPONSE

摘要：

In this paper,a predator-prey systems with time delays and simplified Holling type-IV functional response is investigated, the predators numerical response has Leslie form.Proved that the solutions with positive initial values are positive and bounded.Give the existence conditions of the positive equilibrium point and prove the equilibrium point is uniqued.Given the conditions of local asymptotic stability by Routh-Hurwiitz theroy.The impact of the time delay on the stability of the model is considered by choosing the delay time τ as a bifurcation parameter, the existence of Hopf bifurcation is also found by bifurcation theory.

关键词： Time Delays Holling type-IV functional response Hopf bifurcation

作者: NAN-NAN ZHANG JING XU YONG-FENG MA

作者单位: Department of Mathematics and Physics Dalian Jiaotong University,Dalian 116028,China

会议类型: 国际会议

会议名称: 2011 3rd International Conference on Computer Technology and Development(2011第三届计算机技术与发展国际会议 ICCTD2011)

会议地点: 成都

会议语种:英文

页码: 1536-1540

在线出版日期: 2011-11-25（万方平台首次上网日期，不代表论文的发表时间）