Dynamics of eco-epidemiological model with harvesting

Anna Silvia Purnomo; Isnani Darti; Agus Suryanto

doi:10.1063/1.5016652

Dynamics of eco-epidemiological model with harvesting

Anna Silvia Purnomo^*
, Isnani Darti
, Agus Suryanto

^*Corresponding author for this work

Faculty of Mathematics and Natural Sciences

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

20 Citations (Scopus)

Abstract

In this paper, we study an eco-epidemiology model which is derived from S I epidemic model with bilinear incidence rate and modified Leslie Gower predator-prey model with harvesting on susceptible prey. Existence condition and stability of all equilibrium points are discussed for the proposed model. Furthermore, we show that the model exhibits a Hopf bifurcation around interior equilibrium point which is driven by the rate of infection. Our numerical simulations using some different value of parameters confirm our analytical analysis.

Original language	English
Title of host publication	International Conference and Workshop on Mathematical Analysis and its Applications, ICWOMAA 2017
Editors	Adem Kilicman, Marjono, Ratno Bagus Edy Wibowo, Moch. Aruman Imron
Publisher	American Institute of Physics Inc.
ISBN (Electronic)	9780735416055
DOIs	https://doi.org/10.1063/1.5016652
Publication status	Published - 5 Dec 2017
Event	International Conference and Workshop on Mathematical Analysis and its Applications, ICWOMAA 2017 - Malang, Indonesia Duration: 2 Aug 2017 → 3 Aug 2017

Publication series

Name	AIP Conference Proceedings
Volume	1913
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	International Conference and Workshop on Mathematical Analysis and its Applications, ICWOMAA 2017
Country/Territory	Indonesia
City	Malang
Period	2/08/17 → 3/08/17

UN SDGs

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

SDG 3 Good Health and Well-being
SDG 15 Life on Land

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10.1063/1.5016652

Cite this

Purnomo, A. S., Darti, I., & Suryanto, A. (2017). Dynamics of eco-epidemiological model with harvesting. In A. Kilicman, Marjono, R. B. E. Wibowo, & M. A. Imron (Eds.), International Conference and Workshop on Mathematical Analysis and its Applications, ICWOMAA 2017 Article 020018 (AIP Conference Proceedings; Vol. 1913). American Institute of Physics Inc.. https://doi.org/10.1063/1.5016652

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title = "Dynamics of eco-epidemiological model with harvesting",

abstract = "In this paper, we study an eco-epidemiology model which is derived from S I epidemic model with bilinear incidence rate and modified Leslie Gower predator-prey model with harvesting on susceptible prey. Existence condition and stability of all equilibrium points are discussed for the proposed model. Furthermore, we show that the model exhibits a Hopf bifurcation around interior equilibrium point which is driven by the rate of infection. Our numerical simulations using some different value of parameters confirm our analytical analysis.",

author = "Purnomo, \{Anna Silvia\} and Isnani Darti and Agus Suryanto",

note = "Publisher Copyright: {\textcopyright} 2017 Author(s).; International Conference and Workshop on Mathematical Analysis and its Applications, ICWOMAA 2017 ; Conference date: 02-08-2017 Through 03-08-2017",

year = "2017",

month = dec,

day = "5",

doi = "10.1063/1.5016652",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics Inc.",

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Purnomo, AS, Darti, I & Suryanto, A 2017, Dynamics of eco-epidemiological model with harvesting. in A Kilicman, Marjono, RBE Wibowo & MA Imron (eds), International Conference and Workshop on Mathematical Analysis and its Applications, ICWOMAA 2017., 020018, AIP Conference Proceedings, vol. 1913, American Institute of Physics Inc., International Conference and Workshop on Mathematical Analysis and its Applications, ICWOMAA 2017, Malang, Indonesia, 2/08/17. https://doi.org/10.1063/1.5016652

Dynamics of eco-epidemiological model with harvesting. / Purnomo, Anna Silvia; Darti, Isnani ; Suryanto, Agus.
International Conference and Workshop on Mathematical Analysis and its Applications, ICWOMAA 2017. ed. / Adem Kilicman; Marjono; Ratno Bagus Edy Wibowo; Moch. Aruman Imron. American Institute of Physics Inc., 2017. 020018 (AIP Conference Proceedings; Vol. 1913).

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

TY - GEN

T1 - Dynamics of eco-epidemiological model with harvesting

AU - Purnomo, Anna Silvia

AU - Darti, Isnani

AU - Suryanto, Agus

PY - 2017/12/5

Y1 - 2017/12/5

N2 - In this paper, we study an eco-epidemiology model which is derived from S I epidemic model with bilinear incidence rate and modified Leslie Gower predator-prey model with harvesting on susceptible prey. Existence condition and stability of all equilibrium points are discussed for the proposed model. Furthermore, we show that the model exhibits a Hopf bifurcation around interior equilibrium point which is driven by the rate of infection. Our numerical simulations using some different value of parameters confirm our analytical analysis.

AB - In this paper, we study an eco-epidemiology model which is derived from S I epidemic model with bilinear incidence rate and modified Leslie Gower predator-prey model with harvesting on susceptible prey. Existence condition and stability of all equilibrium points are discussed for the proposed model. Furthermore, we show that the model exhibits a Hopf bifurcation around interior equilibrium point which is driven by the rate of infection. Our numerical simulations using some different value of parameters confirm our analytical analysis.

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DO - 10.1063/1.5016652

M3 - Conference contribution

AN - SCOPUS:85037852221

T3 - AIP Conference Proceedings

BT - International Conference and Workshop on Mathematical Analysis and its Applications, ICWOMAA 2017

A2 - Kilicman, Adem

A2 - Marjono, null

A2 - Wibowo, Ratno Bagus Edy

A2 - Imron, Moch. Aruman

PB - American Institute of Physics Inc.

T2 - International Conference and Workshop on Mathematical Analysis and its Applications, ICWOMAA 2017

Y2 - 2 August 2017 through 3 August 2017

ER -

Dynamics of eco-epidemiological model with harvesting

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