On pulse solutions of a reaction–diffusion system in population dynamics. (June 2015)

• Record Type: Journal Article
• Authors: Volpert, V.; Reinberg, N.; Benmir, M.; Boujena, S.
• Is Part Of: Nonlinear analysis. Volume 120(2015)
• Page Start: 76
• Page End: 85
• Publication Date: 2015-06
• Subjects: Reaction–diffusion systems -- Stationary pulses -- Leray–Schauder method -- Human height distribution; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2015.02.017
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: A reaction–diffusion system of equations describing the distribution of population density is considered. The existence of pulse solutions is proved by the Leray–Schauder method based on the topological degree for elliptic operators in unbounded domains and on a priori estimates of solutions. Numerical simulations show that such solutions become stable in the case of global consumption of resources while they are unstable without the integral terms. This model is used to describe human height distribution.