Turing instability and bifurcation in a diffusion predator-prey model with beddington-deangelis functional response

Wei Tan; Wenwu Yu; Tasawar Hayat; Fuad Alsaadi; Habib M. Fardoun

doi:10.1142/S021812741830029X

Turing instability and bifurcation in a diffusion predator-prey model with beddington-deangelis functional response

Wei Tan
, Wenwu Yu
, Tasawar Hayat
, Fuad Alsaadi
, Habib M. Fardoun

Southeast University, Nanjing
Quaid-I-Azam University
Faculty of Engineering, King Abdulaziz University
Faculty of Computing and Information Technology, King Abdulaziz University

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

12 Scopus citations

Abstract

In this paper, we consider a predator-prey model with Beddington-DeAngelis functional response with or without diffusion. For this system, we give a complete and rigorous analysis of the dynamics including the existence of a global positive solution, the stability/Turing instability and the Hopf bifurcation. In the meanwhile, we show, via numerical simulations, that there appears Hopf bifurcation, steady state solution and Turing-Hopf bifurcation with the changes of some parameters of the system.

Original language	English
Article number	1830029
Journal	International Journal of Bifurcation and Chaos
Volume	28
Issue number	9
DOIs	https://doi.org/10.1142/S021812741830029X
State	Published - 1 Aug 2018
Externally published	Yes

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

SDG 15 Life on Land

Keywords

Hopf bifurcation
Predator-prey model
Turing instability
diffusion

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10.1142/S021812741830029X

Cite this

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title = "Turing instability and bifurcation in a diffusion predator-prey model with beddington-deangelis functional response",

abstract = "In this paper, we consider a predator-prey model with Beddington-DeAngelis functional response with or without diffusion. For this system, we give a complete and rigorous analysis of the dynamics including the existence of a global positive solution, the stability/Turing instability and the Hopf bifurcation. In the meanwhile, we show, via numerical simulations, that there appears Hopf bifurcation, steady state solution and Turing-Hopf bifurcation with the changes of some parameters of the system.",

keywords = "Hopf bifurcation, Predator-prey model, Turing instability, diffusion",

author = "Wei Tan and Wenwu Yu and Tasawar Hayat and Fuad Alsaadi and Fardoun, \{Habib M.\}",

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T1 - Turing instability and bifurcation in a diffusion predator-prey model with beddington-deangelis functional response

AU - Tan, Wei

AU - Yu, Wenwu

AU - Hayat, Tasawar

AU - Alsaadi, Fuad

AU - Fardoun, Habib M.

PY - 2018/8/1

Y1 - 2018/8/1

N2 - In this paper, we consider a predator-prey model with Beddington-DeAngelis functional response with or without diffusion. For this system, we give a complete and rigorous analysis of the dynamics including the existence of a global positive solution, the stability/Turing instability and the Hopf bifurcation. In the meanwhile, we show, via numerical simulations, that there appears Hopf bifurcation, steady state solution and Turing-Hopf bifurcation with the changes of some parameters of the system.

AB - In this paper, we consider a predator-prey model with Beddington-DeAngelis functional response with or without diffusion. For this system, we give a complete and rigorous analysis of the dynamics including the existence of a global positive solution, the stability/Turing instability and the Hopf bifurcation. In the meanwhile, we show, via numerical simulations, that there appears Hopf bifurcation, steady state solution and Turing-Hopf bifurcation with the changes of some parameters of the system.

KW - Hopf bifurcation

KW - Predator-prey model

KW - Turing instability

KW - diffusion

UR - https://www.scopus.com/pages/publications/85052902550

U2 - 10.1142/S021812741830029X

DO - 10.1142/S021812741830029X

M3 - Article

AN - SCOPUS:85052902550

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VL - 28

JO - International Journal of Bifurcation and Chaos

JF - International Journal of Bifurcation and Chaos

IS - 9

M1 - 1830029

ER -

Turing instability and bifurcation in a diffusion predator-prey model with beddington-deangelis functional response

Abstract

UN SDGs

Keywords

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