Stationary Patterns in One-Predator Two-Prey Models

Michael Pedersen; Lin Zhigui

Stationary Patterns in One-Predator Two-Prey Models

Michael Pedersen
, Lin Zhigui

Research output: Contribution to journal › Journal article › Research

Abstract

Weakly-coupled elliptic system decribing models of simple three-species food webs such as the one-predator, two-prey modelis discussed. We show thatthere is no non-constant solution if diffusions or inter-specific competitions are strong, or if the intrinsic growths of the prey are slow and theintrinsic drop rates of predator are fast.

Original language	English
Book series	MAT Report
Issue number	20
Pages (from-to)	1-8
Publication status	Published - 1999

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title = "Stationary Patterns in One-Predator Two-Prey Models",

abstract = "Weakly-coupled elliptic system decribing models of simple three-species food webs such as the one-predator, two-prey modelis discussed. We show thatthere is no non-constant solution if diffusions or inter-specific competitions are strong, or if the intrinsic growths of the prey are slow and theintrinsic drop rates of predator are fast.",

author = "Michael Pedersen and Lin Zhigui",

year = "1999",

language = "English",

pages = "1--8",

journal = "MAT Report",

number = "20",

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T1 - Stationary Patterns in One-Predator Two-Prey Models

AU - Pedersen, Michael

AU - Zhigui, Lin

PY - 1999

Y1 - 1999

N2 - Weakly-coupled elliptic system decribing models of simple three-species food webs such as the one-predator, two-prey modelis discussed. We show thatthere is no non-constant solution if diffusions or inter-specific competitions are strong, or if the intrinsic growths of the prey are slow and theintrinsic drop rates of predator are fast.

AB - Weakly-coupled elliptic system decribing models of simple three-species food webs such as the one-predator, two-prey modelis discussed. We show thatthere is no non-constant solution if diffusions or inter-specific competitions are strong, or if the intrinsic growths of the prey are slow and theintrinsic drop rates of predator are fast.

M3 - Journal article

SP - 1

EP - 8

JO - MAT Report

JF - MAT Report

IS - 20

ER -