一类具有连续时滞和非线性出生率的Logistic人口模型的定性分析  

Qualitative Analysis of Logistic Population Model with Continuous Delays and Nonlinear Birth Rate

作　　者：万维明[1] 张南南[1] 马永峰[1] 

机构地区：[1]大连交通大学理学院,辽宁大连116028

出　　处：《大连交通大学学报》2011年第3期95-98,共4页Journal of Dalian Jiaotong University

摘　　要：研究了一类具有连续时滞和非线性出生率的Logistic人口模型的非负平衡点的局部渐近稳定性,且进一步研究了以出生率b为参数的Hopf分支,计算了临界值bc以及分支方向和周期解的稳定性.Non-negative equilibrium of local asymptotic stability for a kind of Logistic population model was studied with continuous delays and nonlinear birth rate,the hopf bifurcation of birth rate b as a parameter was explored and the critical value bc,the bifurcation direction and the asymptotic stability of periodic solution were calculated.

关 键 词：时滞 稳定性 HOPF分支 LOGISTIC模型 

分 类 号：C921[社会学—人口学]