Journal Article

Numerical simulation of a Campbell-like stochastic delay model for bacteriophage infection

Margherita Carletti

in Mathematical Medicine and Biology: A Journal of the IMA

Published on behalf of Institute of Mathematics and its Applications

Volume 23, issue 4, pages 297-310
Published in print December 2006 | ISSN: 1477-8599
Published online December 2006 | e-ISSN: 1477-8602 | DOI: http://dx.doi.org/10.1093/imammb/dql017
Numerical simulation of a Campbell-like stochastic delay model for bacteriophage infection

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In this work, we consider a delay differential equations model for bacteriophage infection and discuss the robustness of the positive equilibrium with respect to stochastic perturbations of the environment using two different approaches. First, we provide analytical estimates of the population intensities of fluctuations by Fourier transform methods. Next, we simulate the strong solutions of the arising stochastic delay differential equations by numerical methods of order 1. Extensive numerical experiments suggest that a noisy environment for the bacteria population is much more destabilizing on the concentrations at the equilibrium point than a noisy environment for the phage.

Keywords: stochastic delay differential equations; numerical methods for stochastic delay differential equations; Fourier transform methods; biomathematical modelling

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Subjects: Applied Mathematics ; Biomathematics and Statistics

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