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^*

^*Corresponding author for this work

Department of Applied Mathematics

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

35 Citations (Scopus)

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	04
DOIs	https://doi.org/10.1142/S021812742250050X
Publication status	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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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

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VL - 32

JO - International Journal of Bifurcation and Chaos

JF - International Journal of Bifurcation and Chaos

IS - 04

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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