摘要

An m-layer peiodic Lotka-Volterra network-like multidirectional food-chain with harvesting terms is proposed in this paper. By applying Mawhin's continuation theorem of coincidence degree theory and some skills of the inequalities, sufficient conditions which guarantee the existence of 2 Sigma(m)(i=1) (Ni) positive periodic solutions of the system are obtained. An example is given to illustrate the effectiveness of our results.

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