Periodic Oscillations In A Delay Population Model

Changjin Xu, Peiluan Li
2012 Zenodo  
In this paper, a nonlinear delay population model is investigated. Choosing the delay as a bifurcation parameter, we demonstrate that Hopf bifurcation will occur when the delay exceeds a critical value. Global existence of bifurcating periodic solutions is established. Numerical simulations supporting the theoretical findings are included.
doi:10.5281/zenodo.1328678 fatcat:b7k66f7oqbebdg5ewxcdjl3xty