THE EFFECTS OF WHITE AND MIXTURE NOISE PERTURBATIONS IN THE NUMERICAL SOLUTION OF SDE RELATED TO BIOMATHEMATICAL MODEL

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REZAIAN RAMAZAN; FARNOUSH R.; YARI GHOLAM HOSSEIN

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Journal: Journal of Operational Research in its Applications Year:2010 | Volume:6 | Issue:23 Page(s): 19-27

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Title

THE EFFECTS OF WHITE AND MIXTURE NOISE PERTURBATIONS IN THE NUMERICAL SOLUTION OF SDE RELATED TO BIOMATHEMATICAL MODEL

Author(s)

REZAIAN RAMAZAN | FARNOUSH R. | YARI GHOLAM HOSSEIN | Issue Writer Certificate

Keywords

STOCHASTIC DIFFERENTIAL EQUATIONSQ3

GAUSSIAN WHITE NOISEQ3

MIXTURE WHITE NOISEQ3

EULER-MARUYAMAQ3

ITO INTEGRALQ3

Abstract

Ordinary differential equation (ODE) models play a relevant role in many application areas including biology. In this paper, we consider ODE related to bacterio phage growth. With adding stochastic parameters to model, we introduce a stochastic differential equation (SDE). The main aim of this paper is to analyze the effects of white and mixture noise in the stochastic model. We approximate this SDE with Euler-Maryamma (EM) method. Numerical simulations are in MATLAB programming.

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APA: Copy

REZAIAN, RAMAZAN, FARNOUSH, R., & YARI, GHOLAM HOSSEIN. (2010). THE EFFECTS OF WHITE AND MIXTURE NOISE PERTURBATIONS IN THE NUMERICAL SOLUTION OF SDE RELATED TO BIOMATHEMATICAL MODEL. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), 6(23), 19-27. SID. https://sid.ir/paper/164545/en

Vancouver: Copy

REZAIAN RAMAZAN, FARNOUSH R., YARI GHOLAM HOSSEIN. THE EFFECTS OF WHITE AND MIXTURE NOISE PERTURBATIONS IN THE NUMERICAL SOLUTION OF SDE RELATED TO BIOMATHEMATICAL MODEL. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS)[Internet]. 2010;6(23):19-27. Available from: https://sid.ir/paper/164545/en

IEEE: Copy

RAMAZAN REZAIAN, R. FARNOUSH, and GHOLAM HOSSEIN YARI, “THE EFFECTS OF WHITE AND MIXTURE NOISE PERTURBATIONS IN THE NUMERICAL SOLUTION OF SDE RELATED TO BIOMATHEMATICAL MODEL,” JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), vol. 6, no. 23, pp. 19–27, 2010, [Online]. Available: https://sid.ir/paper/164545/en

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