Stability analysis of pest-predator interaction model with infectious disease in prey

Agus Suryanto; Isnani Darti; Syaiful Anam

doi:10.1063/1.5026090

Stability analysis of pest-predator interaction model with infectious disease in prey

Agus Suryanto^*
, Isnani Darti
, Syaiful Anam

^*Corresponding author for this work

Faculty of Mathematics and Natural Sciences

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

7 Citations (Scopus)

Abstract

We consider an eco-epidemiological model based on a modified Leslie-Gower predator-prey model. Such eco-epidemiological model is proposed to describe the interaction between pest as the prey and its predator. We assume that the pest can be infected by a disease or pathogen and the predator only eats the susceptible prey. The dynamical properties of the model such as the existence and the stability of biologically feasible equilibria are studied. The model has six type of equilibria, but only three of them are conditionally stable. We find that the predator in this system cannot go extinct. However, the susceptible or the infective prey may disappear in the environment. To support our analytical results, we perform some numerical simulations with different scenario.

Original language	English
Title of host publication	Symposium on Biomathematics, SYMOMATH 2017
Editors	Dewi Handayani, Mikkel Quam, Peter van Heijster
Publisher	American Institute of Physics Inc.
ISBN (Electronic)	9780735416291
DOIs	https://doi.org/10.1063/1.5026090
Publication status	Published - 6 Mar 2018
Event	Symposium on Biomathematics, SYMOMATH 2017 - Bandung, Indonesia Duration: 27 Aug 2017 → 29 Aug 2017

Publication series

Name	AIP Conference Proceedings
Volume	1937
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	Symposium on Biomathematics, SYMOMATH 2017
Country/Territory	Indonesia
City	Bandung
Period	27/08/17 → 29/08/17

UN SDGs

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

SDG 15 Life on Land

Keywords

Bio-control
Eco-epidemiological model
Leslie-Gower model
Pest management
Stability analysis

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10.1063/1.5026090

Cite this

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title = "Stability analysis of pest-predator interaction model with infectious disease in prey",

abstract = "We consider an eco-epidemiological model based on a modified Leslie-Gower predator-prey model. Such eco-epidemiological model is proposed to describe the interaction between pest as the prey and its predator. We assume that the pest can be infected by a disease or pathogen and the predator only eats the susceptible prey. The dynamical properties of the model such as the existence and the stability of biologically feasible equilibria are studied. The model has six type of equilibria, but only three of them are conditionally stable. We find that the predator in this system cannot go extinct. However, the susceptible or the infective prey may disappear in the environment. To support our analytical results, we perform some numerical simulations with different scenario.",

keywords = "Bio-control, Eco-epidemiological model, Leslie-Gower model, Pest management, Stability analysis",

author = "Agus Suryanto and Isnani Darti and Syaiful Anam",

note = "Publisher Copyright: {\textcopyright} 2018 Author(s).; Symposium on Biomathematics, SYMOMATH 2017 ; Conference date: 27-08-2017 Through 29-08-2017",

year = "2018",

month = mar,

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doi = "10.1063/1.5026090",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics Inc.",

editor = "Dewi Handayani and Mikkel Quam and \{van Heijster\}, Peter",

booktitle = "Symposium on Biomathematics, SYMOMATH 2017",

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Suryanto, A , Darti, I & Anam, S 2018, Stability analysis of pest-predator interaction model with infectious disease in prey. in D Handayani, M Quam & P van Heijster (eds), Symposium on Biomathematics, SYMOMATH 2017., 020018, AIP Conference Proceedings, vol. 1937, American Institute of Physics Inc., Symposium on Biomathematics, SYMOMATH 2017, Bandung, Indonesia, 27/08/17. https://doi.org/10.1063/1.5026090

Stability analysis of pest-predator interaction model with infectious disease in prey. / Suryanto, Agus ; Darti, Isnani ; Anam, Syaiful.
Symposium on Biomathematics, SYMOMATH 2017. ed. / Dewi Handayani; Mikkel Quam; Peter van Heijster. American Institute of Physics Inc., 2018. 020018 (AIP Conference Proceedings; Vol. 1937).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Stability analysis of pest-predator interaction model with infectious disease in prey

AU - Suryanto, Agus

AU - Darti, Isnani

AU - Anam, Syaiful

PY - 2018/3/6

Y1 - 2018/3/6

N2 - We consider an eco-epidemiological model based on a modified Leslie-Gower predator-prey model. Such eco-epidemiological model is proposed to describe the interaction between pest as the prey and its predator. We assume that the pest can be infected by a disease or pathogen and the predator only eats the susceptible prey. The dynamical properties of the model such as the existence and the stability of biologically feasible equilibria are studied. The model has six type of equilibria, but only three of them are conditionally stable. We find that the predator in this system cannot go extinct. However, the susceptible or the infective prey may disappear in the environment. To support our analytical results, we perform some numerical simulations with different scenario.

AB - We consider an eco-epidemiological model based on a modified Leslie-Gower predator-prey model. Such eco-epidemiological model is proposed to describe the interaction between pest as the prey and its predator. We assume that the pest can be infected by a disease or pathogen and the predator only eats the susceptible prey. The dynamical properties of the model such as the existence and the stability of biologically feasible equilibria are studied. The model has six type of equilibria, but only three of them are conditionally stable. We find that the predator in this system cannot go extinct. However, the susceptible or the infective prey may disappear in the environment. To support our analytical results, we perform some numerical simulations with different scenario.

KW - Bio-control

KW - Eco-epidemiological model

KW - Leslie-Gower model

KW - Pest management

KW - Stability analysis

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U2 - 10.1063/1.5026090

DO - 10.1063/1.5026090

M3 - Conference contribution

AN - SCOPUS:85043993758

T3 - AIP Conference Proceedings

BT - Symposium on Biomathematics, SYMOMATH 2017

A2 - Handayani, Dewi

A2 - Quam, Mikkel

A2 - van Heijster, Peter

PB - American Institute of Physics Inc.

T2 - Symposium on Biomathematics, SYMOMATH 2017

Y2 - 27 August 2017 through 29 August 2017

ER -

Stability analysis of pest-predator interaction model with infectious disease in prey

Abstract

Publication series

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UN SDGs

Keywords

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