Stability and bifurcation analysis of discrete partial dependent predator-prey model with delay

R. Alawia; I. Darti; A. Suryanto

doi:10.12988/ams.2013.37421

Stability and bifurcation analysis of discrete partial dependent predator-prey model with delay

R. Alawia
, I. Darti^*
, A. Suryanto

^*Corresponding author for this work

Faculty of Mathematics and Natural Sciences

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

3 Citations (Scopus)

Abstract

In this paper we investigate the dynamics of Euler discretization of predator-prey model with a delay (τ). Its dynamics are studied in term of local stability analysis and the existence of Neimark-Sacker bifurcation. By analyzing the corresponding characteristic equation, it is shown that Neimark-Sacker bifurcation occur when τ crosses a sequence of critical values. Such analytical finding is confirmedby some numerical simulations.

Original language	English
Pages (from-to)	4403-4413
Number of pages	11
Journal	Applied Mathematical Sciences
Volume	7
Issue number	89-92
DOIs	https://doi.org/10.12988/ams.2013.37421
Publication status	Published - 2013

UN SDGs

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SDG 15 Life on Land

Keywords

Discrete predator-prey model
Neimark-Sacker bifurcations
Stability
Time delay

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10.12988/ams.2013.37421

Cite this

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title = "Stability and bifurcation analysis of discrete partial dependent predator-prey model with delay",

abstract = "In this paper we investigate the dynamics of Euler discretization of predator-prey model with a delay (τ). Its dynamics are studied in term of local stability analysis and the existence of Neimark-Sacker bifurcation. By analyzing the corresponding characteristic equation, it is shown that Neimark-Sacker bifurcation occur when τ crosses a sequence of critical values. Such analytical finding is confirmedby some numerical simulations.",

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AU - Alawia, R.

AU - Darti, I.

AU - Suryanto, A.

PY - 2013

Y1 - 2013

N2 - In this paper we investigate the dynamics of Euler discretization of predator-prey model with a delay (τ). Its dynamics are studied in term of local stability analysis and the existence of Neimark-Sacker bifurcation. By analyzing the corresponding characteristic equation, it is shown that Neimark-Sacker bifurcation occur when τ crosses a sequence of critical values. Such analytical finding is confirmedby some numerical simulations.

AB - In this paper we investigate the dynamics of Euler discretization of predator-prey model with a delay (τ). Its dynamics are studied in term of local stability analysis and the existence of Neimark-Sacker bifurcation. By analyzing the corresponding characteristic equation, it is shown that Neimark-Sacker bifurcation occur when τ crosses a sequence of critical values. Such analytical finding is confirmedby some numerical simulations.

KW - Discrete predator-prey model

KW - Neimark-Sacker bifurcations

KW - Stability

KW - Time delay

UR - https://www.scopus.com/pages/publications/84886298825

U2 - 10.12988/ams.2013.37421

DO - 10.12988/ams.2013.37421

M3 - Article

AN - SCOPUS:84886298825

SN - 1312-885X

VL - 7

SP - 4403

EP - 4413

JO - Applied Mathematical Sciences

JF - Applied Mathematical Sciences

IS - 89-92

ER -

Stability and bifurcation analysis of discrete partial dependent predator-prey model with delay

Abstract

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Keywords

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