Self-Regulation in Age-Structured Populations

Abstract

The paper gives a survey of some recent results and ideas in the area of sustained oscillations in nonlinear age-structured population equations. The application of one parameter Hopf bifurcation technique to nonlinear integral Volterra equation is demonstrated. Two parameters Lyapunov and Schmidt bifurcation method are implemented to both nonlinear integral equation and nonlinear McKendrik-von-Foerster equation. The direction of bifurcation and oscillation period is calculated for two examples