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Bifurcation Analysis of Time Delayed Ecological Model

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Nonlinear Dynamics of Electronic Systems (NDES 2014)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 438))

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Abstract

We consider a simple ecological model consists of phosphorus, algea and zooplankton. The model is described by a system of delay partial differential equations. The stability analysis of spatially constant equilibria and some numerical simulations are given. It is shown that Hopf bifurcation may occur depending on the time delay.

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Author information

Authors and Affiliations

  1. Department of Informatics, Constantine the Philosopher University, Tr. A. Hlinku 1, 949 74, Nitra, Slovakia

    Tibor Kmet

  2. Department of Mathematics, Constantine the Philosopher University, Tr. A. Hlinku 1, 949 74, Nitra, Slovakia

    Maria Kmetova

Authors
  1. Tibor Kmet
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  2. Maria Kmetova
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Editor information

Editors and Affiliations

  1. Technical University of Sofia, 8 St. Kl. Ohridski Blvd., 1000, Sofia, Bulgaria

    Valeri M. Mladenov

  2. Physics Department, Boston University, 590 Commonwealth Avenue, 02215, Boston, MA, USA

    Plamen Ch. Ivanov

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Kmet, T., Kmetova, M. (2014). Bifurcation Analysis of Time Delayed Ecological Model. In: Mladenov, V.M., Ivanov, P.C. (eds) Nonlinear Dynamics of Electronic Systems. NDES 2014. Communications in Computer and Information Science, vol 438. Springer, Cham. https://doi.org/10.1007/978-3-319-08672-9_47

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  • DOI: https://doi.org/10.1007/978-3-319-08672-9_47

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-08671-2

  • Online ISBN: 978-3-319-08672-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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