期刊
INTERNATIONAL JOURNAL OF ADVANCED AND APPLIED SCIENCES
卷 5, 期 1, 页码 123-129出版社
INST ADVANCED SCIENCE EXTENSION
DOI: 10.21833/ijaas.2018.01.016
关键词
Epidemic model; Fractional derivatives; Endemic equilibrium; LADM; Convergence analysis
Protection of children from vaccine preventable diseases, such as measles is among primary goal for health worker. Measles is a highly contagious disease that can spread in a population depending on the number of peoples susceptible or infected and also depending on their dynamics in the community. The model monitors the temporal dynamics of a childhood disease in the presence of preventive vaccine. We presented a nonlinear time fractional model of measles in order to understand the outbreaks of this epidemic disease. The Caputo fractional derivative operator of order alpha is an element of (0,1] is employed to obtain the system of fractional differential equations. The numerical solution of the time fractional model has been procured by employing Laplace Adomian decomposition method (LADM), qualitative and sensitivity analysis of the model was performed. Qualitative results shows that the model has endemic equilibrium which locally asymptotically stable for R-0 > 1 and otherwise unstable. The convergence analysis and non-negative solutions are verified for the proposed scheme. Simulation of different epidemiological classes at the effect of fractional parameter alpha revealed that most individuals undergoing treatment join the recovered class. This method proves to be very efficient techniques for solving epidemic model to control infectious disease. (C) 2017 The Authors. Published by IASE.
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