Monotone abstract non-densely defined Cauchy problems applied to age structured population dynamic models

2019/01/04 by Pierre Magal, Magal, Pierre, Ousmane Seydi +3 · 2 citations
Medicine · Mathematics · Economics, Econometrics and Finance · #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Differential Equations Analysis #Stochastic processes and financial applications

paper · pdf · doi:10.48550/arxiv.1901.01231

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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• Analysis of a parabolic-hyperbolic hybrid population model
• Spatio-temporal dynamics of an age-structured reaction-diffusion system of epidemic type subjected by Neumann boundary condition

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