Cannibalism in an age-structured predator-prey system

C. Kaewmanee; I. M. Tang

doi:10.1016/S0304-3800(03)00190-X

Cannibalism in an age-structured predator-prey system

C. Kaewmanee, I. M. Tang

Research output: Contribution to journal › Article › peer-review

23 Citations (Scopus)

Abstract

The effect of cannibalism on an age-structured predator-prey system is studied. Three stable equilibrium states are found. Using a Hopf bifurcation analysis, it is found that the non washout steady state looses its stability as the cannibalism attack rate increases past a bifurcation point S_c. The dependence of the bifurcation point on the other parameters in the model is found. It is shown that the trajectory of the solution spirals in for attack rates S 〈 S_c and exhibits limit cycle behavior for S 〉 S_c.

Original language	English
Pages (from-to)	213-220
Number of pages	8
Journal	Ecological Modelling
Volume	167
Issue number	3
DOIs	https://doi.org/10.1016/S0304-3800(03)00190-X
Publication status	Published - 15 Sept 2003
Externally published	Yes

Keywords

Cannibalism
Hopf bifurcation
Limit cycle
Predator-prey

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1016/S0304-3800(03)00190-X

Cite this

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title = "Cannibalism in an age-structured predator-prey system",

abstract = "The effect of cannibalism on an age-structured predator-prey system is studied. Three stable equilibrium states are found. Using a Hopf bifurcation analysis, it is found that the non washout steady state looses its stability as the cannibalism attack rate increases past a bifurcation point Sc. The dependence of the bifurcation point on the other parameters in the model is found. It is shown that the trajectory of the solution spirals in for attack rates S 〈 Sc and exhibits limit cycle behavior for S 〉 Sc.",

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AU - Tang, I. M.

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Y1 - 2003/9/15

N2 - The effect of cannibalism on an age-structured predator-prey system is studied. Three stable equilibrium states are found. Using a Hopf bifurcation analysis, it is found that the non washout steady state looses its stability as the cannibalism attack rate increases past a bifurcation point Sc. The dependence of the bifurcation point on the other parameters in the model is found. It is shown that the trajectory of the solution spirals in for attack rates S 〈 Sc and exhibits limit cycle behavior for S 〉 Sc.

AB - The effect of cannibalism on an age-structured predator-prey system is studied. Three stable equilibrium states are found. Using a Hopf bifurcation analysis, it is found that the non washout steady state looses its stability as the cannibalism attack rate increases past a bifurcation point Sc. The dependence of the bifurcation point on the other parameters in the model is found. It is shown that the trajectory of the solution spirals in for attack rates S 〈 Sc and exhibits limit cycle behavior for S 〉 Sc.

KW - Cannibalism

KW - Hopf bifurcation

KW - Limit cycle

KW - Predator-prey

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U2 - 10.1016/S0304-3800(03)00190-X

DO - 10.1016/S0304-3800(03)00190-X

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VL - 167

SP - 213

EP - 220

JO - Ecological Modelling

JF - Ecological Modelling

IS - 3

ER -

Cannibalism in an age-structured predator-prey system

Abstract

Keywords

UN SDGs

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