Hopf bifurcation for a size structured model with resting phase
Language
en
Article de revue
This item was published in
Discrete and Continuous Dynamical Systems - Series A. 2013, vol. 33, n° 11-12, p. 4891-4921
American Institute of Mathematical Sciences
English Abstract
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 ...Read more >
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 semi-group theory. We prove a Hopf bifurcation theorem and we present some numerical simulations to support our analysis.Read less <
Origin
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