research-article

Stability and Hopf Bifurcation in a delayed ratio dependent Holling-Tanner type model

Author:

Canan ÇelikAuthors Info & Claims

Applied Mathematics and Computation, Volume 255, Issue C

Pages 228 - 237

https://doi.org/10.1016/j.amc.2014.11.086

Published: 15 March 2015 Publication History

Abstract

In this study, a delayed ratio dependent Holling-Tanner type predator-prey model is investigated. First, the local stability of a positive equilibrium is studied and then the existence of Hopf bifurcations is established. By using the normal form theory and center manifold theorem, the explicit algorithm determining the stability, direction of the bifurcating periodic solutions are derived. Finally, we perform the numerical simulations for justifying the theoretical results.

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Cited By

Zhang WFei YLi ZHuang C(2021)Mathematical Analysis of a Fractional-Order Predator-Prey Network with Feedback Control StrategyComputational Intelligence and Neuroscience10.1155/2021/93588812021Online publication date: 1-Jan-2021
https://dl.acm.org/doi/10.1155/2021/9358881
Liu CLu NZhang QLi JLiu P(2016)Modeling and analysis in a prey-predator system with commercial harvesting and double time delaysApplied Mathematics and Computation10.1016/j.amc.2016.01.039281:C(77-101)Online publication date: 30-Apr-2016
https://dl.acm.org/doi/10.1016/j.amc.2016.01.039

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cover image Applied Mathematics and Computation

Applied Mathematics and Computation Volume 255, Issue C

March 2015

237 pages

ISSN:0096-3003

Issue’s Table of Contents

Copyright © Elsevier Inc.

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Elsevier Science Inc.

United States

Publication History

Published: 15 March 2015

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Cited By

Zhang WFei YLi ZHuang C(2021)Mathematical Analysis of a Fractional-Order Predator-Prey Network with Feedback Control StrategyComputational Intelligence and Neuroscience10.1155/2021/93588812021Online publication date: 1-Jan-2021
https://dl.acm.org/doi/10.1155/2021/9358881
Liu CLu NZhang QLi JLiu P(2016)Modeling and analysis in a prey-predator system with commercial harvesting and double time delaysApplied Mathematics and Computation10.1016/j.amc.2016.01.039281:C(77-101)Online publication date: 30-Apr-2016
https://dl.acm.org/doi/10.1016/j.amc.2016.01.039

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