Electronic Journal of Differential Equations, Vol. 2011 (2011), No. 49, pp. 1-11. Title: Multiple positive periodic solutions to a non-autonomous Lotka-Volterra predator-prey system with harvesting terms Authors: Kaihong Zhao (Kunming Univ. of Science and Tech., Yunnan, China) Yongkun Li (Yunnan Univ. Yunnan, China) Abstract: Using Mawhin's continuation theorem of coincidence degree theory, we establish the existence of $2^{n+m}$ positive periodic solutions for a non-autonomous Lotka-Volterra network-like predator-prey system with harvesting terms. Here n and m denote the number of prey and predator species respectively. An example is given to illustrate our results. Submitted November 26, 2010. Published April 07, 2011. Math Subject Classifications: 34C25, 92D25. Key Words: Periodic solutions; Lotka-Volterra network; predator-prey system; coincidence degree; harvesting term.