Numerical simulation of stochastic ordinary differential equations in biomathematical modelling |
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| Affiliation: | 1. Istituto di Biomatematica, Università di Urbino, Localita’ Crocicchia, Urbino (Pu) 61029, Italy;2. University of Queensland, Brisbane, Australia;3. University of Queensland, Brisbane, Australia;1. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, PR China;2. State Key Laboratory of Mining Disaster Prevention and Control Co-founded by Shandong Province and the Ministry of Science and Technology, Shandong University of Science and Technology, Qingdao 266590, PR China;3. College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, PR China;1. School of Mathematics and Information Science, Guangxi Universities Key Lab of Complex System Optimization and Big Data Processing, Yulin Normal University, Yulin, Guangxi 537000, PR China;2. School of Science, China University of Petroleum (East China), Qingdao 266580, PR China;3. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, King Abdulaziz University, Jeddah 121589, Saudi Arabia;1. School of Mathematics and Statistics, Key Laboratory of Applied Statistics of MOE, Northeast Normal University, Changchun, Jilin 130024,PR China;2. School of Mathematics and Statistics, Guangxi Colleges and Universities, Key Laboratory of Complex System Optimization and Big Data Processing, Yulin Normal University, Yulin 537000, Guangxi, PR China;3. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 121589, Saudi Arabia;4. College of Science, China University of Petroleum (East China), Qingdao 266580, Shandong Province, PR China;5. Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan |
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| 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. |
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