Numerical simulation of stochastic ordinary differential equations in biomathematical modelling

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Bibliographic Details
Title: Numerical simulation of stochastic ordinary differential equations in biomathematical modelling
Authors: Carletti, M.1 m.carletti@mat.uniurb.it, Burrage, K.2 kb@maths.uq.edu.au, Burrage, P.M.2 pmb@maths.uq.edu.au
Source: Mathematics & Computers in Simulation. Jan2004, Vol. 64 Issue 2, p271. 7p.
Subjects: Biomathematics, Stochastic differential equations, Mathematical models, Numerical analysis
Abstract: In this work we discuss the effects of white and coloured noise perturbations on the parameters of a mathematical model of bacteriophage infection introduced by Beretta and Kuang in [Math. Biosc. 149 (1998) 57]. We numerically simulate the strong solutions of the resulting systems of stochastic ordinary differential equations (SDEs), with respect to the global error, by means of numerical methods of both Euler–Taylor expansion and stochastic Runge–Kutta type. [Copyright &y& Elsevier]
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Database: Engineering Source
Description
Abstract:In this work we discuss the effects of white and coloured noise perturbations on the parameters of a mathematical model of bacteriophage infection introduced by Beretta and Kuang in [Math. Biosc. 149 (1998) 57]. We numerically simulate the strong solutions of the resulting systems of stochastic ordinary differential equations (SDEs), with respect to the global error, by means of numerical methods of both Euler–Taylor expansion and stochastic Runge–Kutta type. [Copyright &y& Elsevier]
ISSN:03784754
DOI:10.1016/j.matcom.2003.09.022