This paper is devoted to the study of a predator-prey model with predator-age structure that involves Michaelis-Menten type ratio-dependent functional response. We study some dynamical properties of the model by using the theory of integrated semigroup and the Hopf bifurcation theory for semilinear equations with non-dense domain. The existence of Hopf bifurcation is established by regarding the biological maturation period τ as the bifurcation parameter. The computer simulations and sensitivity analysis on parameters are also performed to illustrate the conclusions.
@article{arxiv.1711.01599,
title = {Hopf bifurcation of the Michaelis-Menten type ratio-dependent predator-prey model with age structure},
author = {Xiangming Zhang and Zhihua Liu},
journal= {arXiv preprint arXiv:1711.01599},
year = {2017}
}