Equilibrium and local stability in a logistic matrix model for age-structured populations.
A logistic matrix model for age-structured population dynamics is constructed. This model discretizes a continuous, density-dependent model with age structure, i.e. it is an extension of the logistic model to the case of age-dependence. We prove the existence and uniqueness of its equilibrium and give a necessary and sufficient condition for the local stability of the equilibrium.
D000375:Aging; D000818:Animals; D001699:Biometry; D008962:Models, Theoretical; D011157:Population Dynamics