Abstract
Using the fractional Caputo–Fabrizio derivative, we investigate a new version of the mathematical model of Rabies disease. Using fixed point results, we prove the existence of a unique solution. We calculate the equilibrium points and check the stability of solutions. We solve the equation by combining the Laplace transform and Adomian decomposition method. In numerical results, we investigate the effect of coefficients on the number of infected groups. We also examine the effect of derivation orders on the behavior of functions and make a comparison between the results of the integer-order derivative and the Caputo and Caputo–Fabrizio fractional-order derivatives.
Highlights
The Rabies viral disease, which is characterized by the initial symptoms of fever and tingling at the site of exposure, causes inflammation of the brain in humans and other mammals
8 Conclusion In this work, we have studied the mathematical model of Rabies by the concept of Caputo–Fabrizio fractional derivative
16.531 16.3503797 16.371678 the existence and uniqueness of the solutions are studied by fixed point theorem
Summary
The Rabies viral disease, which is characterized by the initial symptoms of fever and tingling at the site of exposure, causes inflammation of the brain in humans and other mammals. It has been studied by many researchers that fractional extensions of mathematical models of integer order rep- We first study the integer-order Rabies model with the Caputo–Fabrizio fractional-order derivative and investigate the behavior of the results obtained from the model. The Caputo fractional derivative of order η for a function f via integrable differentiations is defined by The Caputo–Fabrizio derivative of order η for a function f is defined by CF Dηf (t) = M(η)
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