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

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.