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

Chiun-Chuan Chen; Li-Chang Hung; Chen-Chih Lai

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arXiv · 1602.00304

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

Chiun-Chuan Chen·Li-Chang Hung·Chen-Chih Lai

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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.

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Chiun-Chuan Chen, Li-Chang Hung, Chen-Chih Lai. 2016-01-31. An N-barrier maximum principle for autonomous systems of $n$ species and its application to problems arising from population dynamics. https://arxiv.org/abs/1602.00304

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