# American Institute of Mathematical Sciences

January  1995, 1(1): 103-117. doi: 10.3934/dcds.1995.1.103

## A priori bounds and periodic solutions for a class of planar systems with applications to Lotka-Volterra equations

 1 Department of Mathematics, Peking University, Beijing, China, China 2 Dipartimento di Matematica e Informatica, Università, via Zanon 6, 33100 Udine, Italy

Received  October 1994 Published  December 1994

The existence of periodic solutions for some planar systems is investigated. Applications are given to positive solutions for a class of Kolmogorov systems generalizing a predator - prey model for the dynamics of two species in a periodic environment.
Citation: Tongren Ding, Hai Huang, Fabio Zanolin. A priori bounds and periodic solutions for a class of planar systems with applications to Lotka-Volterra equations. Discrete & Continuous Dynamical Systems - A, 1995, 1 (1) : 103-117. doi: 10.3934/dcds.1995.1.103
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