Traveling wave fronts for a diffusive Nicholson’s Blowflies equation accompanying mature delay and feedback delay

Abstract

For the diffusive Nicholson’s Blowflies equation accompanying disparate mature delay and feedback delay, the traveling wave front analysis has not been touched. By using the inequality technique and constructing suitable upper and lower solutions, we successfully built up a novel criterion to ensure the existence of traveling wave front solutions of the proposed model, which is essentially new and supplement some existing literatures. In particular, we afford an explanatory example to substantiate the validness and efficacy of the theoretical results.