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. © 2022 Watam Press.

authors

• González G.

publication date

• 2022-01-01

funding provided via

• Consejo Nacional de Ciencia y Tecnología, CONACYT: 1757, A1-S-43579  Grant

published in

• Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis  Journal

keywords

• advection-reaction equation; Lotka-Volterra system; population dynamics; standing waves; traveling waves

Digital Object Identifier (DOI)

PubMed ID

start page

• 399

end page

• 409

volume

• 29

issue

• 5