An N-barrier maximum principle for autonomous systems of $n$ species and its application to problems arising from population dynamics

Abstract

We show that the N-barrier maximum principle (NBMP) remains true for $n$ $(n>2)$ species. In addition, a stronger lower bound in NBMP is given by employing an improved tangent line method. As an application of NBMP, we establish a nonexistence result for traveling wave solutions to the four species Lotka-Volterra system.

14 pages

References in corpus (1)

• An N-barrier maximum principle for elliptic systems arising from the study of traveling waves in reaction-diffusion systems

Cited by in corpus (1)

• Nonlinear estimates for traveling wave solutions of reaction diffusion equations