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Journal of Applied Mathematics and Computing

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01.02.2014 | Original Research

Hopf bifurcation in a predator-prey system with Holling type III functional response and time delays

verfasst von: Zizhen Zhang, Huizhong Yang, Ming Fu

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1-2/2014

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Abstract

This paper is concerned with a delayed predator-prey system with modified Leslie-Gower and Holling type III schemes. By analyzing the associated characteristic equation, its local stability and the existence of periodic solutions via Hopf bifurcation with respect to both delays are obtained. Based on the normal form method and center manifold theorem, the formulaes for determining the direction of Hopf bifurcation and the stability of bifurcating periodic solutions are derived. Finally, some numerical simulations to illustrate the theoretical analysis are also carried out.

Vorheriger Artikel Stability in nonlinear neutral integro-differential equations with variable delay using fixed point theory

Nächster Artikel Oscillation of even order advanced type dynamic equations with mixed nonlinearities on time scales

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Titel: Hopf bifurcation in a predator-prey system with Holling type III functional response and time delays
verfasst von: Zizhen Zhang
Huizhong Yang
Ming Fu
Publikationsdatum: 01.02.2014
Verlag: Springer Berlin Heidelberg
Erschienen in: Journal of Applied Mathematics and Computing / Ausgabe 1-2/2014
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-013-0696-7

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