Effect of a functional response-dependent prey refuge in a predator-prey model

Mainul Haque; Md Sabiar Rahman; Ezio Venturino; Bai Lian Li

doi:10.1016/j.ecocom.2014.04.001

Effect of a functional response-dependent prey refuge in a predator-prey model

Mainul Haque, Md Sabiar Rahman, Ezio Venturino, Bai Lian Li

Research output: Journal Publication › Article › peer-review

37 Citations (Scopus)

Abstract

We propose two mathematical models for predator-prey interactions allowing for prey refuge. The novelty lies in the assumption that the amount of prey in refugia is proportional not only to the encounters between prey and predator, but also it is modelled by a Holling type II response function. The second model also accounts for predator's intraspecific competition. We fully analyse the models and discuss all possible coexistence equilibria configurations and their local and global stability. A saddle-node bifurcation analysis is also performed for a wide set of parameter ranges. The ultimate behavior of the systems depends mainly on two relevant parameters, the prey refuge constant and the predator's intraspecific competition.

Original language	English
Pages (from-to)	248-256
Number of pages	9
Journal	Ecological Complexity
Volume	20
DOIs	https://doi.org/10.1016/j.ecocom.2014.04.001
Publication status	Published - 1 Dec 2014
Externally published	Yes

Keywords

Bifurcation
Intra-species competition
Predator-prey
Refuge
Stability

ASJC Scopus subject areas

Ecology, Evolution, Behavior and Systematics
Ecological Modelling

UN SDGs

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

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10.1016/j.ecocom.2014.04.001

Cite this

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title = "Effect of a functional response-dependent prey refuge in a predator-prey model",

abstract = "We propose two mathematical models for predator-prey interactions allowing for prey refuge. The novelty lies in the assumption that the amount of prey in refugia is proportional not only to the encounters between prey and predator, but also it is modelled by a Holling type II response function. The second model also accounts for predator's intraspecific competition. We fully analyse the models and discuss all possible coexistence equilibria configurations and their local and global stability. A saddle-node bifurcation analysis is also performed for a wide set of parameter ranges. The ultimate behavior of the systems depends mainly on two relevant parameters, the prey refuge constant and the predator's intraspecific competition.",

keywords = "Bifurcation, Intra-species competition, Predator-prey, Refuge, Stability",

author = "Mainul Haque and Rahman, {Md Sabiar} and Ezio Venturino and Li, {Bai Lian}",

note = "Publisher Copyright: {\textcopyright} 2014 Elsevier B.V.",

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doi = "10.1016/j.ecocom.2014.04.001",

language = "English",

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T1 - Effect of a functional response-dependent prey refuge in a predator-prey model

AU - Haque, Mainul

AU - Rahman, Md Sabiar

AU - Venturino, Ezio

AU - Li, Bai Lian

PY - 2014/12/1

Y1 - 2014/12/1

N2 - We propose two mathematical models for predator-prey interactions allowing for prey refuge. The novelty lies in the assumption that the amount of prey in refugia is proportional not only to the encounters between prey and predator, but also it is modelled by a Holling type II response function. The second model also accounts for predator's intraspecific competition. We fully analyse the models and discuss all possible coexistence equilibria configurations and their local and global stability. A saddle-node bifurcation analysis is also performed for a wide set of parameter ranges. The ultimate behavior of the systems depends mainly on two relevant parameters, the prey refuge constant and the predator's intraspecific competition.

AB - We propose two mathematical models for predator-prey interactions allowing for prey refuge. The novelty lies in the assumption that the amount of prey in refugia is proportional not only to the encounters between prey and predator, but also it is modelled by a Holling type II response function. The second model also accounts for predator's intraspecific competition. We fully analyse the models and discuss all possible coexistence equilibria configurations and their local and global stability. A saddle-node bifurcation analysis is also performed for a wide set of parameter ranges. The ultimate behavior of the systems depends mainly on two relevant parameters, the prey refuge constant and the predator's intraspecific competition.

KW - Bifurcation

KW - Intra-species competition

KW - Predator-prey

KW - Refuge

KW - Stability

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U2 - 10.1016/j.ecocom.2014.04.001

DO - 10.1016/j.ecocom.2014.04.001

M3 - Article

AN - SCOPUS:84918573387

SN - 1476-945X

VL - 20

SP - 248

EP - 256

JO - Ecological Complexity

JF - Ecological Complexity

ER -

Effect of a functional response-dependent prey refuge in a predator-prey model

Abstract

Keywords

ASJC Scopus subject areas

UN SDGs

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