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Hopf bifurcation of the Michaelis-Menten type ratio-dependent predator-prey model with age structure
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 as the
bifurcation parameter. The computer simulations and sensitivity analysis on
parameters are also performed to illustrate the conclusions