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Numerical simulation of stochastic ordinary differential equations in biomathematical modelling

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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]
Copyright of Mathematics & Computers in Simulation is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 11884106
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  Data: Numerical simulation of stochastic ordinary differential equations in biomathematical modelling
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  Data: <searchLink fieldCode="AR" term="%22Carletti%2C+M%2E%22">Carletti, M.</searchLink><relatesTo>1</relatesTo><i> m.carletti@mat.uniurb.it</i><br /><searchLink fieldCode="AR" term="%22Burrage%2C+K%2E%22">Burrage, K.</searchLink><relatesTo>2</relatesTo><i> kb@maths.uq.edu.au</i><br /><searchLink fieldCode="AR" term="%22Burrage%2C+P%2EM%2E%22">Burrage, P.M.</searchLink><relatesTo>2</relatesTo><i> pmb@maths.uq.edu.au</i>
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  Data: <searchLink fieldCode="JN" term="%22Mathematics+%26+Computers+in+Simulation%22">Mathematics & Computers in Simulation</searchLink>. Jan2004, Vol. 64 Issue 2, p271. 7p.
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  Data: <searchLink fieldCode="DE" term="%22Biomathematics%22">Biomathematics</searchLink><br /><searchLink fieldCode="DE" term="%22Stochastic+differential+equations%22">Stochastic differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+models%22">Mathematical models</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink>
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  Label: Abstract
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  Data: 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]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Mathematics & Computers in Simulation is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1016/j.matcom.2003.09.022
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      – Code: eng
        Text: English
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        PageCount: 7
        StartPage: 271
    Subjects:
      – SubjectFull: Biomathematics
        Type: general
      – SubjectFull: Stochastic differential equations
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      – SubjectFull: Mathematical models
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      – SubjectFull: Numerical analysis
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      – TitleFull: Numerical simulation of stochastic ordinary differential equations in biomathematical modelling
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              Text: Jan2004
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