LOTKA-VOLTERRA COMPETITION SYSTEM WITH STRONG ADVECTION RATES
Publication Name
Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
Abstract
A two-species Lotka-Volterra competition model in a strong advective homogeneous environment is explored, modeled by a system of advection-reaction equations. It is assumed that the two species have the same population dynamics but different advection rates. It is shown that the two-dimensional Lotka-Volterra competition model with advection can be written as a three-dimensional dynamical system in traveling wave coordinates, which facilitates the complete derivation of explicit traveling wave solutions. In particular, standing waves arise even in the presence of strong advection provided the advection rates have opposite signs.
Open Access Status
This publication is not available as open access
Volume
29
Issue
5
First Page
399
Last Page
409
Funding Number
1757
Funding Sponsor
Consejo Nacional de Ciencia y Tecnología