Differential and Integral Equations

Stationary patterns in one-predator, two-prey models

Zhigui Lin and Michael Pedersen

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Abstract

Weakly-coupled elliptic system describing models of simple three-species food webs such as the one-predator, two-prey model is discussed. We show that there is no nonconstant solution if diffusions or interspecific competitions are strong, or if the intrinsic growths of the prey are slow and the intrinsic drop rates of predator are fast.

Article information

Source
Differential Integral Equations, Volume 14, Number 5 (2001), 605-612.

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356123259

Mathematical Reviews number (MathSciNet)
MR1824746

Zentralblatt MATH identifier
1161.35434

Subjects
Primary: 35K55: Nonlinear parabolic equations
Secondary: 35B35: Stability 35K60: Nonlinear initial value problems for linear parabolic equations 92D25: Population dynamics (general)

Citation

Pedersen, Michael; Lin, Zhigui. Stationary patterns in one-predator, two-prey models. Differential Integral Equations 14 (2001), no. 5, 605--612. https://projecteuclid.org/euclid.die/1356123259


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