Study of Fuzzy Fractional Caputo Order Approach to Diabetes Model

Subrata Paul, Animesh Mahata, Supriya Mukherjee, Sanat Kumar Mahato, Mehdi Salimi and Banamali Roy
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Subrata Paul: Arambagh Government Polytechnic, Department of Mathematics
Animesh Mahata: Mahadevnagar High School
Supriya Mukherjee: Gurudas College, Department of Mathematics
Sanat Kumar Mahato: Sidho-Kanho-Birsha University, Department of Mathematics
Mehdi Salimi: St. Francis Xavier University, Department of Mathematics & Statistics
Banamali Roy: Bangabasi Evening College, Department of Mathematics

Chapter Chapter 19 in Fuzzy Optimization, Decision-making and Operations Research, 2023, pp 423-434 from Springer

Abstract: Abstract An understanding of the mathematical explanation of different global environmental challenges is the current mathematical model. The modeling of prey-predator dynamics has garnered the most attention from scientists and ecologists in recent years. The majority of ecologists who study the subject make the assumption that ecological parameters are well understood. The unpredictability in the model can arise for several reasons, including human error, faulty data supply, climatic changes, and other environmental elements, etc., altering the real situation. We have described the fuzzy fractional diabetes model in Caputo’s sense, where the initial populations are taken to be a fuzzy number, to address this issue. We have used a mechanism known as the gH (generalized Hukuhara) derivatives idea to clarify the fuzzy suggested system. The leading model is converted into a set of differential equations with a parametric form of when this approach is used to the fuzzy prey-predator system. Here, we only analyze two scenarios in which the populations of prey G(t) and predator I(t) are both gH type-I, gH type-II differentiable. The stability conditions of nonnegative feasible steady states have been examined in a fuzzy environment. Finally, thorough numerical simulations are performed to validate all the analytical results.

Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-35668-1_19

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DOI: 10.1007/978-3-031-35668-1_19

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