On the minimal speed of traveling waves for a non-local delayed reaction-diffusion equation
Maitere Aguerrea, Gabriel Valenzuela
TL;DR
This paper establishes bounds on the minimal speed of traveling wave solutions in a non-local delayed reaction-diffusion equation, advancing understanding of wave propagation in such systems.
Contribution
It provides the first constructive bounds for the minimal wave speed in non-local delayed reaction-diffusion equations.
Findings
Derived explicit upper bounds for wave speed
Established explicit lower bounds for wave speed
Enhanced theoretical understanding of wave propagation speeds
Abstract
In this note, we give constructive upper and lower bounds for the minimal speed of propagation of traveling waves for non-local delayed reaction-diffusion equation.
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Taxonomy
TopicsMathematical and Theoretical Epidemiology and Ecology Models · Nonlinear Dynamics and Pattern Formation · Differential Equations and Numerical Methods