$n$种群自治系统的N-障碍最大值原理及其在种群动力学问题中的应用
An N-barrier maximum principle for autonomous systems of $n$ species and its application to problems arising from population dynamics
摘要：
我们发现，N-势垒最大值原理（NBMP）仍然适用于$n$ $(n>2)$物种。此外，通过改进的切线方法，给出了NBMP的更强下界。作为NBMP的一个应用，我们建立了四种群Lotka-Volterra系统行波解的一个不存在性结果.
英文摘要：
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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