Abstract
This paper is devoted to the study of an age-dependent population system with Riker type birth function. The time lag factor is considered for the birth process. We investigate some dynamical properties of the equation by using C0-semigroup theory, through which we obtain some conditions of asymptotical stability and Hopf bifurcation occurring at positive steady state for the system.
| Original language | English |
|---|---|
| Article number | 1250146 |
| Journal | International Journal of Bifurcation and Chaos |
| Volume | 22 |
| Issue number | 6 |
| DOIs | |
| State | Published - Jun 2012 |
Keywords
- Hopf bifurcation
- Population system
- asymptotical stability