Traveling wave solutions and spreading speeds for a scalar age-structured equation with nonlocal diffusion
Arnaud Ducrot, Hao Kang
TL;DR
This paper investigates traveling wave solutions and spreading speeds in an age-structured epidemic model incorporating nonlocal diffusion, using comparison principles to establish existence and regularity of solutions.
Contribution
It introduces a novel analysis of age-structured epidemic models with nonlocal diffusion, demonstrating the existence and regularity of traveling wave solutions.
Findings
Existence of traveling wave solutions established
Spreading speeds characterized for the model
Comparison principles used for regularity proofs
Abstract
In this paper, we study the existence of traveling wave solutions and the spreading speed for the solutions of an age-structured epidemic model with nonlocal diffusion. Our proofs make use of the comparison principles both to construct suitable sub/super-solutions and to prove the regularity of traveling waves solutions.
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Taxonomy
TopicsMathematical and Theoretical Epidemiology and Ecology Models · COVID-19 epidemiological studies · Nonlinear Differential Equations Analysis