Publication: On the mathematical model of Rabies by using the fractional Caputo–Fabrizio derivative
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Springer Science and Business Media LLC
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Abstract
AbstractUsing 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.
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Advances in Difference Equations
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OPEN
Keywords
Financial economics, Laplace transform, Economics, Numerical simulation, Fractional ordinary differential equations, Mathematical analysis, Integro-ordinary differential equations, Differential equation, Fractional derivatives and integrals, Health Sciences, Machine learning, QA1-939, FOS: Mathematics, Stability (learning theory), Anomalous Diffusion Modeling and Analysis, Order (exchange), Caputo-Fabrizio fractional derivative, Modeling the Dynamics of COVID-19 Pandemic, Public Health, Environmental and Occupational Health, Fractional calculus, Partial differential equation, Fixed point, Applied mathematics, Computer science, Programming language, Fractional Derivatives, fixed point, Rabies model, numerical simulation, Modeling and Simulation, Disease Transmission and Population Dynamics, Derivative (finance), Physical Sciences, Medicine, Adomian decomposition method, Integer (computer science), The Caputo–Fabrizio fractional derivative, Functional-differential equations with fractional derivatives, Mathematics, Ordinary differential equation, Finance