Article Contents
Article Contents

# Hopf bifurcation for a size-structured model with resting phase

• This article investigates Hopf bifurcation for a size-structured population dynamic model that is designed to describe size dispersion among individuals in a given population. This model has a nonlinear and nonlocal boundary condition. We reformulate the problem as an abstract non-densely defined Cauchy problem, and study it in the frame work of integrated semigroup theory. We prove a Hopf bifurcation theorem and we present some numerical simulations to support our analysis.
Mathematics Subject Classification: 35B32, 37G15, 37L10, 92D25.

 Citation:

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