2010/10/27 by Thuc Manh Le, Frithjof Lutscher, Le, Thuc Manh +4
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · #37N25 #39A22 #92D25 #Dynamical Systems (math.DS) #Evolution and Genetic Dynamics #FOS: Mathematics #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #math.DS #msc:37N25 #msc:39A22 #msc:92D25
paper · pdf · doi:10.48550/arxiv.1010.5686
This paper has been withdrawn by the authors. Because of an error
openalex publication_date 2010/10/27 · arxiv created 2010/11/11 · arxiv updated 2010/11/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 [\it Am. Nat., \bf 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 [\it SIAM J. Math. Anal., \bf 13 (1982), 353-396] to the case when migration depends on age groups and a fraction of the population does not migrate.