Switching model with two habitats and a predator involving group defence

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

doi:10.2991/jnmp.1998.5.2.11

Switching model with two habitats and a predator involving group defence

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

Mathematics

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16 Citations (Scopus)

Abstract

Switching model with one predator and two prey species is considered. The prey species have the ability of group defence. Therefore, the predator will be attracted towards that habitat where prey are less in number. The stability analysis is carried out for two equilibrium values. The theoretical results are compared with the numerical results for a set of values. The Hopf bifuracation analysis is done to support the stability results.

Original language	English
Pages (from-to)	212-223
Number of pages	12
Journal	Journal of Nonlinear Mathematical Physics
Volume	5
Issue number	2
DOIs	https://doi.org/10.2991/jnmp.1998.5.2.11
Publication status	Published - 1998

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.2991/jnmp.1998.5.2.11

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title = "Switching model with two habitats and a predator involving group defence",

abstract = "Switching model with one predator and two prey species is considered. The prey species have the ability of group defence. Therefore, the predator will be attracted towards that habitat where prey are less in number. The stability analysis is carried out for two equilibrium values. The theoretical results are compared with the numerical results for a set of values. The Hopf bifuracation analysis is done to support the stability results.",

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

year = "1998",

doi = "10.2991/jnmp.1998.5.2.11",

language = "English",

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journal = "Journal of Nonlinear Mathematical Physics",

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AU - Khan, Q. J.A.

AU - Bhatt, B. S.

AU - Jaju, R. P.

PY - 1998

Y1 - 1998

N2 - Switching model with one predator and two prey species is considered. The prey species have the ability of group defence. Therefore, the predator will be attracted towards that habitat where prey are less in number. The stability analysis is carried out for two equilibrium values. The theoretical results are compared with the numerical results for a set of values. The Hopf bifuracation analysis is done to support the stability results.

AB - Switching model with one predator and two prey species is considered. The prey species have the ability of group defence. Therefore, the predator will be attracted towards that habitat where prey are less in number. The stability analysis is carried out for two equilibrium values. The theoretical results are compared with the numerical results for a set of values. The Hopf bifuracation analysis is done to support the stability results.

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EP - 223

JO - Journal of Nonlinear Mathematical Physics

JF - Journal of Nonlinear Mathematical Physics

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ER -

Switching model with two habitats and a predator involving group defence

Abstract

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