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Bifurcation in a Differential-Algebra Predator-Prey System with Time Lag Effects

Bifurcation in a Differential-Algebra Predator-Prey System with Time Lag Effects

Year:    2019

East Asian Journal on Applied Mathematics, Vol. 9 (2019), Iss. 1 : pp. 122–152

Abstract

A predator-prey system with Holling type II functional response and a time lag is described by a delayed differential-algebra system and the local asymptotic stability and Hopf bifurcation of such system is studied. It is shown that if the time lag increases, a sequence of Hopf bifurcations can occur. The stability and direction of the Hopf bifurcations are studied by using center manifold theory for functional differential equations. A numerical example illustrates our theoretical findings.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/eajam.070318.070518

East Asian Journal on Applied Mathematics, Vol. 9 (2019), Iss. 1 : pp. 122–152

Published online:    2019-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    31

Keywords:    Predator-prey bifurcation time lag parametrisation harvesting.

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    https://doi.org/10.1007/s10958-025-07659-7 [Citations: 0]