Dynamical Analysis of a Food Chain System with Two Delays
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Juan Liu [1] ; Lijun Sun [1]
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[1] Bengbu College (China)
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- Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 15, Nº 1, 2016, págs. 95-126
- Idioma: inglés
- Texto completo no disponible (Saber más ...)
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Resumen
This paper is concerned with a three species food chain system with the Beddington–DeAngelis functional response and two delays. The local stability of the positive equilibrium and the existence of periodic solutions via Hopf bifurcation with respect to both delays at the positive equilibrium are established by analyzing the distribution of the roots of the associated characteristic equation. Further, the properties of the bifurcating periodic solutions such as the direction and the stability are determined by using the normal form method and center manifold argument.
Numerical simulations are presented for supporting the analytical results.
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