Monotone abstract non-densely defined Cauchy problems applied to age structured population dynamic models
Pierre Magal, Ousmane Seydi, Feng-Bin Wang
TL;DR
This paper develops monotone semi-flow theory for non-densely defined Cauchy problems and applies it to age-structured population models, providing new comparison principles and monotonicity results.
Contribution
It introduces sufficient conditions for monotonicity and comparison principles in non-densely defined Cauchy problems and applies these to age-structured population models.
Findings
Established monotonicity conditions for semi-flows
Derived comparison principles for age-structured models
Extended semi-flow theory to non-densely defined problems
Abstract
In this article we first derive some sufficient conditions to establish the monotonicity and comparison principles of the semi-flow generated by non-densely defined Cauchy problems. We apply our results to a class of age structured population models. As a consequence we obtain a monotone semi-flow theory and some comparison principles for age structured models.
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Taxonomy
TopicsMathematical and Theoretical Epidemiology and Ecology Models · Nonlinear Differential Equations Analysis · Stochastic processes and financial applications