An ecoepidemiological model with disease in predator: The ratio-dependent case

Mainul Haque; Ezio Venturino

doi:10.1002/mma.869

An ecoepidemiological model with disease in predator: The ratio-dependent case

Mainul Haque, Ezio Venturino

Research output: Journal Publication › Article › peer-review

99 Citations (Scopus)

Abstract

We propose a ratio-dependent demographic predator-prey model in which also a disease spreads among predators via homogeneous mixing. Equilibria of the system are analysed, numerical evidence shows limit cycles to arise. The disease effects on the model are discussed. Comparisons of these findings with results of some related investigations allow the general conclusion that an infection in either species, prey or predator, may act as a biological control.

Original language	English
Pages (from-to)	1791-1809
Number of pages	19
Journal	Mathematical Methods in the Applied Sciences
Volume	30
Issue number	14
DOIs	https://doi.org/10.1002/mma.869
Publication status	Published - 25 Sept 2007
Externally published	Yes

Keywords

Ecoepidemiology
Epidemic models
Global stability
Local stability
Persistence
Population models

ASJC Scopus subject areas

General Mathematics
General Engineering

Access to Document

10.1002/mma.869

Cite this

@article{a4a3d9ea79ac40e49a619e2adb85ef3a,

title = "An ecoepidemiological model with disease in predator: The ratio-dependent case",

abstract = "We propose a ratio-dependent demographic predator-prey model in which also a disease spreads among predators via homogeneous mixing. Equilibria of the system are analysed, numerical evidence shows limit cycles to arise. The disease effects on the model are discussed. Comparisons of these findings with results of some related investigations allow the general conclusion that an infection in either species, prey or predator, may act as a biological control.",

keywords = "Ecoepidemiology, Epidemic models, Global stability, Local stability, Persistence, Population models",

author = "Mainul Haque and Ezio Venturino",

year = "2007",

month = sep,

day = "25",

doi = "10.1002/mma.869",

language = "English",

volume = "30",

pages = "1791--1809",

journal = "Mathematical Methods in the Applied Sciences",

issn = "0170-4214",

publisher = "John Wiley and Sons Ltd",

number = "14",

}

TY - JOUR

T1 - An ecoepidemiological model with disease in predator

T2 - The ratio-dependent case

AU - Haque, Mainul

AU - Venturino, Ezio

PY - 2007/9/25

Y1 - 2007/9/25

N2 - We propose a ratio-dependent demographic predator-prey model in which also a disease spreads among predators via homogeneous mixing. Equilibria of the system are analysed, numerical evidence shows limit cycles to arise. The disease effects on the model are discussed. Comparisons of these findings with results of some related investigations allow the general conclusion that an infection in either species, prey or predator, may act as a biological control.

AB - We propose a ratio-dependent demographic predator-prey model in which also a disease spreads among predators via homogeneous mixing. Equilibria of the system are analysed, numerical evidence shows limit cycles to arise. The disease effects on the model are discussed. Comparisons of these findings with results of some related investigations allow the general conclusion that an infection in either species, prey or predator, may act as a biological control.

KW - Ecoepidemiology

KW - Epidemic models

KW - Global stability

KW - Local stability

KW - Persistence

KW - Population models

UR - http://www.scopus.com/inward/record.url?scp=34548403752&partnerID=8YFLogxK

U2 - 10.1002/mma.869

DO - 10.1002/mma.869

M3 - Article

AN - SCOPUS:34548403752

SN - 0170-4214

VL - 30

SP - 1791

EP - 1809

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 14

ER -

An ecoepidemiological model with disease in predator: The ratio-dependent case

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this