Bifurcation analysis of bacteria and bacteriophage coexistence in the presence of bacterial debris

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Abstract

The dynamics of bacteria and bacteriophage coexistence in the presence of bacterial debris, in a marine environment, was studied using a system of delay differential equations (DDE). The system exhibits a rich variety of behavior in terms of two control parameters values: the bacteriophage burst size β, and the lysing time delay τ. Limit cycles of various periodicity, quasiperiodicity, period doubling, chaotic bands and toroidal chaos were identified using basic tools of non-linear dynamics analysis: first return maps, Poincaré sections, Fourier spectrum, and largest Lyapunov exponents.

Original languageEnglish
Pages (from-to)242-254
Number of pages13
JournalCommunications in Nonlinear Science and Numerical Simulation
Volume17
Issue number1
DOIs
StatePublished - 1 Jan 2012

Keywords

  • Bacteria and bacteriophage coexistence
  • Bacterial debris
  • Bifurcations
  • Chaos
  • Delay differential equations (DDE)
  • Largest Lyapunov exponent for DDE
  • Quasiperiodicity

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