Multiple Bifurcations of a Discrete-Time Prey-Predator Model with Mixed Functional Response

Parvaiz Ahmad Naik; Zohreh Eskandari; Zakieh Avazzadeh; Jian Zu

doi:10.1142/S021812742250050X

Multiple Bifurcations of a Discrete-Time Prey-Predator Model with Mixed Functional Response

Parvaiz Ahmad Naik
, Zohreh Eskandari
, Zakieh Avazzadeh
, Jian Zu

School of Mathematics and Statistics

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

52 Scopus citations

Abstract

In this paper, the one-and two-parameter bifurcations of a discrete-Time prey-predator model with a mixed functional response are investigated by computing their critical normal form coefficients. The flip, Neimark-Sacker and strong resonance bifurcations are detected for this model. The critical coefficients identify the scenario associated with each bifurcation. The complex dynamical behavior of the model up to the 16th iteration is investigated.

Original language	English
Article number	2250050
Journal	International Journal of Bifurcation and Chaos
Volume	32
Issue number	4
DOIs	https://doi.org/10.1142/S021812742250050X
State	Published - 30 Mar 2022

Keywords

Neimark-Sacker bifurcation
Prey-predator model
bifurcation
flip bifurcation
response function
strong resonance bifurcations

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10.1142/S021812742250050X

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title = "Multiple Bifurcations of a Discrete-Time Prey-Predator Model with Mixed Functional Response",

abstract = "In this paper, the one-and two-parameter bifurcations of a discrete-Time prey-predator model with a mixed functional response are investigated by computing their critical normal form coefficients. The flip, Neimark-Sacker and strong resonance bifurcations are detected for this model. The critical coefficients identify the scenario associated with each bifurcation. The complex dynamical behavior of the model up to the 16th iteration is investigated.",

keywords = "Neimark-Sacker bifurcation, Prey-predator model, bifurcation, flip bifurcation, response function, strong resonance bifurcations",

author = "Naik, \{Parvaiz Ahmad\} and Zohreh Eskandari and Zakieh Avazzadeh and Jian Zu",

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T1 - Multiple Bifurcations of a Discrete-Time Prey-Predator Model with Mixed Functional Response

AU - Naik, Parvaiz Ahmad

AU - Eskandari, Zohreh

AU - Avazzadeh, Zakieh

AU - Zu, Jian

PY - 2022/3/30

Y1 - 2022/3/30

N2 - In this paper, the one-and two-parameter bifurcations of a discrete-Time prey-predator model with a mixed functional response are investigated by computing their critical normal form coefficients. The flip, Neimark-Sacker and strong resonance bifurcations are detected for this model. The critical coefficients identify the scenario associated with each bifurcation. The complex dynamical behavior of the model up to the 16th iteration is investigated.

AB - In this paper, the one-and two-parameter bifurcations of a discrete-Time prey-predator model with a mixed functional response are investigated by computing their critical normal form coefficients. The flip, Neimark-Sacker and strong resonance bifurcations are detected for this model. The critical coefficients identify the scenario associated with each bifurcation. The complex dynamical behavior of the model up to the 16th iteration is investigated.

KW - Neimark-Sacker bifurcation

KW - Prey-predator model

KW - bifurcation

KW - flip bifurcation

KW - response function

KW - strong resonance bifurcations

UR - https://www.scopus.com/pages/publications/85128158688

U2 - 10.1142/S021812742250050X

DO - 10.1142/S021812742250050X

M3 - 文章

AN - SCOPUS:85128158688

SN - 0218-1274

VL - 32

JO - International Journal of Bifurcation and Chaos

JF - International Journal of Bifurcation and Chaos

IS - 4

M1 - 2250050

ER -

Multiple Bifurcations of a Discrete-Time Prey-Predator Model with Mixed Functional Response

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Keywords

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