Affiliations: [a] Department of Mathematics, Netaji Subhash Engineering College, Techno City, Garia, Kolkata, West Bengal, India
| [b] Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, West Bengal, India
| [c] Department of Natural Science, Maulana Abul Kalam Azad University of Technology, West Bengal, Haringhata, Nadia, West Bengal, India
| [d] Department of Basic Sicence, Narula Institute of Technology, West Bengal, India
| [e] Department of Mathematics, Midnapore College (Autonomous), West Midnapore, West Bengal, India
| [f] Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur India
Correspondence:
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Corresponding author. Sankar Prasad Mondal, Department of Natural Science, Maulana Abul Kalam Azad University of Technology, West Bengal, Haringhata, Nadia, West Bengal, India. E-mail: [email protected].
Abstract: In this paper we study the mathematical model for diabetes in fuzzy environment. For real situation we notice that some data cannot be precisely known. For that reason we have to take the parameters as imprecise parameter. In this paper we take fuzzy number as the imprecise parameter. The diabetes model is formed by the concept of system of linear differential equation whose initial condition are fuzzy number. The solution procedure for solving governing fuzzy differential equations i.e., the fuzzy model is taken as generalized Hukuhara derivative approach. To show the biological importance the stability analysis of the model is done in fuzzy environment. The numerical results found and are illustrated through computer simulation which is followed by discussions and conclusions in an elegant way.
