Mathematical Modeling: Proposal of a General Methodology and Application of This Methodology to Epidemiology

Eric Kokomo and Yves Emvudu
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Eric Kokomo: Department of Mathematics, Faculty of Science, Laboratory of Mathematics and Fundamental Applications. P.O. Box 812 Yaounde, University of Yaounde I, Cameroon African Center of Excellence in Technologies, Information and Communication (CETIC) University of Yaounde I
Yves Emvudu: Department of Mathematics, Faculty of Science, Laboratory of Mathematics and Fundamental Applications. P.O. Box 812 Yaounde, University of Yaounde I, Cameroon African Center of Excellence in Technologies, Information and Communication (CETIC) University of Yaounde I.

Academic Journal of Applied Mathematical Sciences, 2016, vol. 2, issue 11, 147-156

Abstract: We propose a general methodology allowing modeling the natural phenomena mathematically. After having to clarify the concepts and to propose a classi?cation of the models according to their functions of description, prediction and comprehension, we give a de?nition of the mathematical model which integrates prediction and comprehension. Thereafter, we propose with details the great stages of mathematical modeling. An application of methodology suggested is made in a general way in epidemiology. Finally we proceed in example to the modeling and mathematical analyis of in?uenza epidemic in a heterogeneous environment taking account the mobility of the individuals.

Keywords: Modeling; Mathematical model; Dynamical system; Epidemiology. (search for similar items in EconPapers)
Date: 2016
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