Study of diabetes model in fuzzy environment using UFM

According to WHO, public health refers to all organized measures to pre-vent disease, promote health and prolong life among the population as a whole. In very recent time several kinds of epidemic diseases have become most worrisome public health concerns. In this reason a large portion of people, all over the world, have great interest doing their research to generate new outcomes in not only the field of medical science, but also in biology, bio-medical engineering and epidemiology etc. In present scenario mathematics and epidemiology have a synergetic relationship. In this paper, we have formulated a diabetes model in fuzzy environment by envisaging all the parameters into the model as trapezoidal fuzzy numbers. The utility function method (UFM) has been used to confer the kinetics of the fuzzy diabetes model. The main qualitative properties of the proposed model like positivity and boundedness, uniform persistence and permanence have been explored. Existence of steady states of the system, local stability and global stability have been also elucidated. All the results and systematic consequences have been checked numerically and graphically using MATLAB software in elegant way.