Equilibrium and local stability in a logistic matrix model for age-structured populations
- 1 April 1987
- journal article
- Published by Springer Nature in Journal of Mathematical Biology
- Vol. 25 (1) , 73-88
- https://doi.org/10.1007/bf00275889
Abstract
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.Keywords
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