Effect of different predation rate on predator-prey model with harvesting, disease and refuge

K. Pusawidjayanti; A. Suryanto; R. B.E. Wibowo

doi:10.1063/1.4914441

Effect of different predation rate on predator-prey model with harvesting, disease and refuge

K. Pusawidjayanti
, A. Suryanto^*
, R. B.E. Wibowo

^*Corresponding author for this work

Faculty of Mathematics and Natural Sciences

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

2 Citations (Scopus)

Abstract

This paper deals with predator-prey interactions with predator harvesting and prey refuge. The predator may be infective by a disease. Therefore the predator is divided into two subclasses, i.e. infective and susceptible predator. It is assumed that susceptible predator have higher predation rate than infective predator, and hence the growth rate of susceptible predator will be higher than infective predator. It is found that the model has five equilibrium points. Finally, numerical simulation are presented not only to illustrate equilibrium point but also to illustrate effect of predation rate.

Original language	English
Title of host publication	Symposium on Biomathematics, SYMOMATH 2014
Editors	Thomas Gotz, Agus Suryanto
Publisher	American Institute of Physics Inc.
Pages	110-113
Number of pages	4
ISBN (Electronic)	9780735412934
DOIs	https://doi.org/10.1063/1.4914441
Publication status	Published - 2015
Event	2nd International Symposium on Biomathematics, SYMOMATH 2014 - Malang, East Java, Indonesia Duration: 31 Aug 2014 → 2 Sept 2014

Publication series

Name	AIP Conference Proceedings
Volume	1651
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	2nd International Symposium on Biomathematics, SYMOMATH 2014
Country/Territory	Indonesia
City	Malang, East Java
Period	31/08/14 → 2/09/14

UN SDGs

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

SDG 15 Life on Land

Keywords

effect of predation rate
equilibrium point
infective predator

Access to Document

10.1063/1.4914441

Cite this

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title = "Effect of different predation rate on predator-prey model with harvesting, disease and refuge",

abstract = "This paper deals with predator-prey interactions with predator harvesting and prey refuge. The predator may be infective by a disease. Therefore the predator is divided into two subclasses, i.e. infective and susceptible predator. It is assumed that susceptible predator have higher predation rate than infective predator, and hence the growth rate of susceptible predator will be higher than infective predator. It is found that the model has five equilibrium points. Finally, numerical simulation are presented not only to illustrate equilibrium point but also to illustrate effect of predation rate.",

keywords = "effect of predation rate, equilibrium point, infective predator",

author = "K. Pusawidjayanti and A. Suryanto and Wibowo, \{R. B.E.\}",

note = "Publisher Copyright: {\textcopyright} 2015 AIP Publishing LLC.; 2nd International Symposium on Biomathematics, SYMOMATH 2014 ; Conference date: 31-08-2014 Through 02-09-2014",

year = "2015",

doi = "10.1063/1.4914441",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics Inc.",

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editor = "Thomas Gotz and Agus Suryanto",

booktitle = "Symposium on Biomathematics, SYMOMATH 2014",

}

Pusawidjayanti, K, Suryanto, A & Wibowo, RBE 2015, Effect of different predation rate on predator-prey model with harvesting, disease and refuge. in T Gotz & A Suryanto (eds), Symposium on Biomathematics, SYMOMATH 2014. AIP Conference Proceedings, vol. 1651, American Institute of Physics Inc., pp. 110-113, 2nd International Symposium on Biomathematics, SYMOMATH 2014, Malang, East Java, Indonesia, 31/08/14. https://doi.org/10.1063/1.4914441

Effect of different predation rate on predator-prey model with harvesting, disease and refuge. / Pusawidjayanti, K.; Suryanto, A.; Wibowo, R. B.E.
Symposium on Biomathematics, SYMOMATH 2014. ed. / Thomas Gotz; Agus Suryanto. American Institute of Physics Inc., 2015. p. 110-113 (AIP Conference Proceedings; Vol. 1651).

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

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T1 - Effect of different predation rate on predator-prey model with harvesting, disease and refuge

AU - Pusawidjayanti, K.

AU - Suryanto, A.

AU - Wibowo, R. B.E.

PY - 2015

Y1 - 2015

N2 - This paper deals with predator-prey interactions with predator harvesting and prey refuge. The predator may be infective by a disease. Therefore the predator is divided into two subclasses, i.e. infective and susceptible predator. It is assumed that susceptible predator have higher predation rate than infective predator, and hence the growth rate of susceptible predator will be higher than infective predator. It is found that the model has five equilibrium points. Finally, numerical simulation are presented not only to illustrate equilibrium point but also to illustrate effect of predation rate.

AB - This paper deals with predator-prey interactions with predator harvesting and prey refuge. The predator may be infective by a disease. Therefore the predator is divided into two subclasses, i.e. infective and susceptible predator. It is assumed that susceptible predator have higher predation rate than infective predator, and hence the growth rate of susceptible predator will be higher than infective predator. It is found that the model has five equilibrium points. Finally, numerical simulation are presented not only to illustrate equilibrium point but also to illustrate effect of predation rate.

KW - effect of predation rate

KW - equilibrium point

KW - infective predator

UR - https://www.scopus.com/pages/publications/85007353882

U2 - 10.1063/1.4914441

DO - 10.1063/1.4914441

M3 - Conference contribution

AN - SCOPUS:85007353882

T3 - AIP Conference Proceedings

SP - 110

EP - 113

BT - Symposium on Biomathematics, SYMOMATH 2014

A2 - Gotz, Thomas

A2 - Suryanto, Agus

PB - American Institute of Physics Inc.

T2 - 2nd International Symposium on Biomathematics, SYMOMATH 2014

Y2 - 31 August 2014 through 2 September 2014

ER -

Effect of different predation rate on predator-prey model with harvesting, disease and refuge

Abstract

Publication series

Conference

UN SDGs

Keywords

Access to Document

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