Abstract
This paper is devoted to the study of a spatially and age structured population dynamics model. We study the stability and Hopf bifurcation of the positive equilibrium of the model by using a bifurcation theory in the context of integrated semigroups. This problem is a first example for Hopf bifurcation for a spatially and age/size structured population dynamics model. Bifurcation analysis indicates that Hopf bifurcation occurs at a positive age/size dependent steady state of the model. The results are confirmed by some numerical simulations.
Highlights
This paper is devoted to the study of a spatially and age structured population dynamics model
This problem is a first example for Hopf bifurcation for a spatially and age/size structured population dynamics model
In this article we consider a mathematical population dynamics model to describe the growth of trees
Summary
In this article we consider a mathematical population dynamics model to describe the growth of trees. Hopf bifurcation; spatially and age/size structure; population dynamics; integrated semigroups. The domain is bounded and we will analyze the oscillation by using a Hopf bifurcation theorem for structured population dynamics models. In this article we consider a first example for Hopf bifurcation appearing in a spatially and age/size structured population dynamics model.
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