[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14317/jami.2021.197

ANALYSIS OF MALARIA DYNAMICS USING ITS FRACTIONAL ORDER MATHEMATICAL MODEL

PAWAR, D.D. (School of Mathematical Sciences, Swami Ramanand Teerth Marathwada University)
PATIL, W.D. (Department of Mathematics, A.C. Patil College of Engineering)
RAUT, D.K. (Department of Mathematics, Shivaji Mahavidyalaya)

Publication Information

Journal of applied mathematics & informatics / v.39, no.1_2, 2021 , pp. 197-214 More about this Journal

Abstract

In this paper, we have studied dynamics of fractional order mathematical model of malaria transmission for two groups of human population say semi-immune and non-immune along with growing stages of mosquito vector. The present fractional order mathematical model is the extension of integer order mathematical model proposed by Ousmane Koutou et al. For this study, Atangana-Baleanu fractional order derivative in Caputo sense has been implemented. In the view of memory effect of fractional derivative, this model has been found more realistic than integer order model of malaria and helps to understand dynamical behaviour of malaria epidemic in depth. We have analysed the proposed model for two precisely defined set of parameters and initial value conditions. The uniqueness and existence of present model has been proved by Lipschitz conditions and fixed point theorem. Generalised Euler method is used to analyse numerical results. It is observed that this model is more dynamic as we have considered all classes of human population and mosquito vector to analyse the dynamics of malaria.

Keywords

Atangana-Baleanu fractional order derivative in Caputo sense [ABCD]; Atangana-Baleanu fractional order integral in Caputo sense [ABCI]; Fractional order mathematical model of malaria [FOMMM]; Generalised Euler method [GEM];

Citations & Related Records

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