Differential and Integral Equations

Positive periodic solutions of a competitor-competitor-mutualist model

Yihong Du

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We use degree results of Dancer and Du ([10]) and bifurcation and monotonicity techniques of Brown and Du ([11]) to study a competitor-competitor-mutualist model with diffusion. We obtain rather complete results on the existence and nonexistence of positive periodic solutions. It turns out that this model behaves largely as the two-species competition model.

Article information

Differential Integral Equations, Volume 9, Number 5 (1996), 1043-1066.

First available in Project Euclid: 6 May 2013

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 92D25: Population dynamics (general)
Secondary: 35Q80: PDEs in connection with classical thermodynamics and heat transfer 92D40: Ecology


Du, Yihong. Positive periodic solutions of a competitor-competitor-mutualist model. Differential Integral Equations 9 (1996), no. 5, 1043--1066. https://projecteuclid.org/euclid.die/1367871530

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