2 n positive periodic solutions to n species non‐autonomous Lotka‐volterra unidirectional food chains with harvesting terms

Abstract

By using the Mawhin continuation theorem of coincidence degree theory and some results on inequalities, we establish the existence of 2 ⁿ positive periodic solutions for n species non‐autonomous Lotka‐Volterra unidirectional food chains with harvesting terms. Two examples are given to illustrate the effectiveness of our results.

First published online: 09 Jun 2011