Numerical simulation of stochastic ordinary differential equations in biomathematical modelling
Carletti, Margherita, Burrage, Kevin, & Burrage, Pamela (2004) Numerical simulation of stochastic ordinary differential equations in biomathematical modelling. Mathematics and Computers in Simulation, 64(2), pp. 271-277.
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.
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|Item Type:||Journal Article|
|Keywords:||Stochastic ordinary differential equations, Numerical approximations, Biomathematical modelling|
|Subjects:||Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > STATISTICS (010400) > Stochastic Analysis and Modelling (010406)|
|Divisions:||Current > Schools > School of Mathematical Sciences
Current > QUT Faculties and Divisions > Science & Engineering Faculty
|Deposited On:||05 Mar 2013 22:23|
|Last Modified:||22 Mar 2013 04:08|
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