FRACTIONAL MODEL ON THE DYNAMICS OF CHICKEN POX WITH VACCINATION

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2021 by IJMTT Journal
Volume-67 Issue-8
Year of Publication : 2021
Authors : Nnaemeka Stanley Aguegboh, Uko Ofe, Netochukwu E. Onyiaji, Ugwu O. Lovelyn
  10.14445/22315373/IJMTT-V67I8P501

MLA

MLA Style: Nnaemeka Stanley Aguegboh, Uko Ofe, Netochukwu E. Onyiaji, Ugwu O. Lovelyn "FRACTIONAL MODEL ON THE DYNAMICS OF CHICKEN POX WITH VACCINATION" International Journal of Mathematics Trends and Technology 67.8 (2021):1-14. 

APA Style: Nnaemeka Stanley Aguegboh, Uko Ofe, Netochukwu E. Onyiaji, Ugwu O. Lovelyn(2021). FRACTIONAL MODEL ON THE DYNAMICS OF CHICKEN POX WITH VACCINATION International Journal of Mathematics Trends and Technology, 67(8), 1-14.

Abstract
In this paper, we proposed a fractional SVIR order model to study the transmission dynamics of Chick- enpox. We showed the existence of the equilibrium states. The basic reproduction number of the model was evaluated in terms of parameters in the model using the next generation matrix approach. We provided the conditions for the stability of the disease-free and the endemic equilibrium points. Also a detailed stability analysis of the model was carried out. Also, numerical simulations of the model were carried out using Adams-type predictor-corrector method and the paper provided a theoretical basis to control the spread of Chickenpox.

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Keywords : Fractional calculus, Chickenpox, Numerical solution, Predictor-corrector method