In this paper we have established a mathematical model on diabetes mellitus under the influence o... more In this paper we have established a mathematical model on diabetes mellitus under the influence of ingested glucose where glucose and insulin both are affected by the externally ingested glucose. The ingested glucose is the external source of glucose that is coming from the source of food and assumed to follow the logistic growth. With the introduction of ingested glucose and its impact on the glucose as well as on insulin, a three variable mathematical model is established. The stability of the model is discussed under various equilibrium conditions. Numerical simulations are used to validate and describe the stability of the proposed model.
In this paper we have established a mathematical model on diabetes mellitus under the influence o... more In this paper we have established a mathematical model on diabetes mellitus under the influence of ingested glucose where glucose and insulin both are affected by the externally ingested glucose. The ingested glucose is the external source of glucose that is coming from the source of food and assumed to follow the logistic growth. With the introduction of ingested glucose and its impact on the glucose as well as on insulin, a three variable mathematical model is established. The stability of the model is discussed under various equilibrium conditions. Numerical simulations are used to validate and describe the stability of the proposed model.
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Papers by ranjan kalita