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Journal of Applied Mathematics and Computing

Erschienen in:

01.10.2015 | Original Research

Modeling the effect of mutual interference in a delay-induced predator-prey system

verfasst von: Ranjit Kumar Upadhyay, Rashmi Agrawal

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1-2/2015

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Abstract

In this paper, we investigate the effect of mutual interference on the dynamics of a predator-prey system with gestation delay. It has been observed that there is stability switches and system becomes unstable due to the combine effect of mutual interference and time delay. We determine the conditions under which the model system becomes globally asymptotically stable around the non-zero equilibria. By applying the normal form theory and the center manifold theorem, the explicit formulae which determine the stability and direction of the bifurcating periodic solutions are determined. Computer simulations have been carried out to illustrate different analytical findings.

Vorheriger Artikel Primitive idempotents in group algebras and minimal abelian codes

Nächster Artikel A compact locally one-dimensional method for fractional diffusion-wave equations

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Titel: Modeling the effect of mutual interference in a delay-induced predator-prey system
verfasst von: Ranjit Kumar Upadhyay
Rashmi Agrawal
Publikationsdatum: 01.10.2015
Verlag: Springer Berlin Heidelberg
Erschienen in: Journal of Applied Mathematics and Computing / Ausgabe 1-2/2015
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-014-0822-1

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