Hopf bifurcation for a predator-prey model with age structure

摘要

A predator-prey model is investigated in which the predator population is assumed to have an age structure. We formulate the model as an abstract non-densely defined Cauchy problem and derive the condition which guarantees the existence and uniqueness of positive age-dependent equilibrium for the model. Bifurcation analysis indicates that the predator-prey system with age structure exhibits Hopf bifurcation which is the main result of this paper. Numerical simulations are given to illustrate the given results.