Asymptotic behavior of an age-structured population model with diffusion
Authors:
Sidi Mohammed Bouguima and Zoulikha Mehlia
Abstract:
A reaction-diffusion system with stage-structure is studied. We provide well-posedness of the model and prove that time-dependent solutions evolve either towards a positive equilibrium or to the trivial one. Under suitable conditions, a branch of positive equilibrium is shown to exist.