Hopf Bifurcation Analysis of a Predator Prey System Involving Switching

Q. J.A. Khan; B. S. Bhatt; R. P. Jaju

doi:10.1143/JPSJ.65.864

Hopf Bifurcation Analysis of a Predator Prey System Involving Switching

Q. J.A. Khan^*, B. S. Bhatt, R. P. Jaju

^*Corresponding author for this work

Mathematics & Statistics

Research output: Contribution to journal › Article › peer-review

3 Citations (SciVal)

Abstract

This paper complements the analysis of Khan, Bhatt and Jaju [1994]. They have studied non-switching and switching models with one predator and two prey species. In the former model predator feeds prey species indiscriminately while in the second model predator switches from a rare species towards the most abundant one. Using conversion rates of prey to predators as the bifurcation parameter it has been shown that Hopf bifurcation can occur in both models.

Original language	English
Pages (from-to)	864-867
Number of pages	4
Journal	Journal of the Physical Society of Japan
Volume	65
Issue number	3
DOIs	https://doi.org/10.1143/JPSJ.65.864
Publication status	Published - 1996

Keywords

Hopf bifurcation
Predator
Prey
Switching

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1143/JPSJ.65.864

Cite this

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abstract = "This paper complements the analysis of Khan, Bhatt and Jaju [1994]. They have studied non-switching and switching models with one predator and two prey species. In the former model predator feeds prey species indiscriminately while in the second model predator switches from a rare species towards the most abundant one. Using conversion rates of prey to predators as the bifurcation parameter it has been shown that Hopf bifurcation can occur in both models.",

keywords = "Hopf bifurcation, Predator, Prey, Switching",

author = "Khan, {Q. J.A.} and Bhatt, {B. S.} and Jaju, {R. P.}",

year = "1996",

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AU - Bhatt, B. S.

AU - Jaju, R. P.

PY - 1996

Y1 - 1996

N2 - This paper complements the analysis of Khan, Bhatt and Jaju [1994]. They have studied non-switching and switching models with one predator and two prey species. In the former model predator feeds prey species indiscriminately while in the second model predator switches from a rare species towards the most abundant one. Using conversion rates of prey to predators as the bifurcation parameter it has been shown that Hopf bifurcation can occur in both models.

AB - This paper complements the analysis of Khan, Bhatt and Jaju [1994]. They have studied non-switching and switching models with one predator and two prey species. In the former model predator feeds prey species indiscriminately while in the second model predator switches from a rare species towards the most abundant one. Using conversion rates of prey to predators as the bifurcation parameter it has been shown that Hopf bifurcation can occur in both models.

KW - Hopf bifurcation

KW - Predator

KW - Prey

KW - Switching

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IS - 3

ER -

Hopf Bifurcation Analysis of a Predator Prey System Involving Switching

Abstract

Keywords

ASJC Scopus subject areas

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