Travelling wave solutions for an infection-age structured model with diffusion

By Arnaud Ducrot, Pierre Magal. Proceedings of the Royal Society of Edinburgh. Section A Mathematics, 2009

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Traveling waves of diffusive predator-prey systems: Disease outbreak propagation (2012, background): “[17, 37, 40, 57]), where suitable invariant sets are carefully constructed and the order-preserving properties of the involved operators are proved.”
Traveling waves for a nonlocal dispersal SIR model with standard incidence (2014, methodology): “Inspired by [12, 13, 39], we want to prove the existence of nontrivial traveling wave solutions by constructing an invariant cone in a large bounded domain with the initial functions being defined on and applying Schauder’s fixed theorem on this cone, then passing to the unbounded domain by a limiti”
Spatial propagation for a two component reaction–diffusion system arising in population dynamics (2016, background): “To do so, let us mention that Ducrot and Magal in [10] (see also the references cited therein, [9, 11] for discussions on the case Λ = μ = 0 with age structure and [16] without age structure) proved the existence of one-dimensional travelling wave solutions for System (1.”