A Leslie-Gower Holling-type II ecoepidemic model

Sahabuddin Sarwardi; Mainul Haque; Ezio Venturino

doi:10.1007/s12190-009-0355-1

A Leslie-Gower Holling-type II ecoepidemic model

Sahabuddin Sarwardi, Mainul Haque, Ezio Venturino

School of Mathematical Sciences

Research output: Journal Publication › Article › peer-review

43 Citations (Scopus)

Abstract

The modified Leslie-Gower and Holling-type II predator-prey model is generalized in the context of ecoepidemiology, with disease spreading only among the prey species. A new feature is introduced, the intraspecific competition of infected prey. All the equilibria are characterized and the existence of a Hopf bifurcation at the coexistence equilibrium is shown.

Original language	English
Pages (from-to)	263-280
Number of pages	18
Journal	Journal of Applied Mathematics and Computing
Volume	35
Issue number	1-2
DOIs	https://doi.org/10.1007/s12190-009-0355-1
Publication status	Published - Jan 2011

Keywords

Eco-epidemiology
Global stability
Holling type-II
Hopf-bifurcation
Leslie-Gower
Local stability

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

UN SDGs

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

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10.1007/s12190-009-0355-1

Cite this

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abstract = "The modified Leslie-Gower and Holling-type II predator-prey model is generalized in the context of ecoepidemiology, with disease spreading only among the prey species. A new feature is introduced, the intraspecific competition of infected prey. All the equilibria are characterized and the existence of a Hopf bifurcation at the coexistence equilibrium is shown.",

keywords = "Eco-epidemiology, Global stability, Holling type-II, Hopf-bifurcation, Leslie-Gower, Local stability",

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AU - Haque, Mainul

AU - Venturino, Ezio

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AB - The modified Leslie-Gower and Holling-type II predator-prey model is generalized in the context of ecoepidemiology, with disease spreading only among the prey species. A new feature is introduced, the intraspecific competition of infected prey. All the equilibria are characterized and the existence of a Hopf bifurcation at the coexistence equilibrium is shown.

KW - Eco-epidemiology

KW - Global stability

KW - Holling type-II

KW - Hopf-bifurcation

KW - Leslie-Gower

KW - Local stability

UR - https://www.scopus.com/pages/publications/78651365560

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DO - 10.1007/s12190-009-0355-1

M3 - Article

AN - SCOPUS:78651365560

SN - 1598-5865

VL - 35

SP - 263

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JO - Journal of Applied Mathematics and Computing

JF - Journal of Applied Mathematics and Computing

IS - 1-2

ER -

A Leslie-Gower Holling-type II ecoepidemic model

Abstract

Keywords

ASJC Scopus subject areas

UN SDGs

Access to Document

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