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

Tongren Ding; Hai Huang; Fabio Zanolin

doi:10.3934/dcds.1995.1.103

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1995, Volume 1, Issue 1: 103-117. Doi: 10.3934/dcds.1995.1.103

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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
2.
Dipartimento di Matematica e Informatica, Università, via Zanon 6, 33100 Udine

Received: October 1994

Published: January 1995

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Abstract

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.

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Mathematics Subject Classification: 34C25, 92A17.

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

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