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Numerical solution of the system of nonlinear ordinary differential equations arising in kinetic modeling of lactic acid fermentation and epidemic model
Author(s) -
Kelleci Alev,
Yıldırım Ahmet
Publication year - 2011
Publication title -
international journal for numerical methods in biomedical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.741
H-Index - 63
eISSN - 2040-7947
pISSN - 2040-7939
DOI - 10.1002/cnm.1321
Subject(s) - nonlinear system , ordinary differential equation , kinetic energy , mathematics , lactic acid , differential equation , biological system , mathematical analysis , physics , classical mechanics , biology , bacteria , quantum mechanics , genetics
In this study, we introduce an efficient method for solving the kinetic modeling of lactic acid fermentation and epidemic model. First model accounts for the transient response for the cell growth, substrate utilization and lactic acid production during the fermentation process and second model is the problem of spread of a non‐fatal disease in a population that is assumed to have constant size over the period of the epidemic model. We use homotopy perturbation method (HPM) to solve kinetic model for the batch production of lactic acid under submerged fermentation of cheese whey using Lactobacillus helveticus and epidemic model in a population. Copyright © 2009 John Wiley & Sons, Ltd.