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Acta Mathematica Vietnamica

TRAVELING WAVE DISPERSAL IN PARTIALLY SEDENTARY AGE-STRUCTURED POPULATIONS

THUC MANH LE, FRITHJOF LUTSCHER, NGUYEN VAN MINH

Abstract

In this paper we present a thorough study on the existence of traveling waves in a mathematical model of dispersal in a partially sedentary age-structured population. This type of model was first proposed by Veit and Lewis in [Am. Nat. 148 (1996), 255-274]. We choose the fecundity function to be the Beverton-Holt type function. We extend the theory of traveling waves in the population genetics model of Weinberger in [SIAM J. Math. Anal. 13 (1982), 353-396] to the case when migration depends on age groups and a fraction of the population does not migrate.