Analysis of a Lymphatic filariasis-schistosomiasis coinfection with public health dynamics: Model obtained through Mittag-Leffler function

Ebenezer Bonyah; Samuel Kwesi Asiedu

doi:10.3934/dcdss.2020029

Article Contents

2020, Volume 13, Issue 3: 519-537. Doi: 10.3934/dcdss.2020029

This issue Previous Article New approximate solutions to the nonlinear Klein-Gordon equations using perturbation iteration techniques Next Article Fractional calculus and applications of family of extended generalized Gauss hypergeometric functions

Analysis of a Lymphatic filariasis-schistosomiasis coinfection with public health dynamics: Model obtained through Mittag-Leffler function

Ebenezer Bonyah^1, , and
Samuel Kwesi Asiedu^2,

1.
Department of Mathematics Education Kumasi Campus, University of Education Winneba, Ghana, Kumasi Ashanti Region, Box 1277, Ghana
2.
Department of Mathematics Education, University of Education Winneba, Winneba, Central region, Box 25, Ghana

^* Corresponding author: ebbonya@gmail.com
^* Corresponding author: ebbonya@gmail.com

Received: March 31, 2018

Revised: May 31, 2018

Published: December 2019

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Abstract

In this paper, Lymphatic filariasis-schistosomiasis coinfected model is studied within the context of fractional derivative order based on Mittag-Leffler function of ABC in the Caputo sense. The existence and uniqueness of system model solution is derived by employing a well- known Banach fixed point theorem. The numerical solution based on the Mittag-Leffler function suggests that the dynamics of the coinfected model is well explored using fractional derivative order because of non-singularity.

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Mathematics Subject Classification: Primary: 34D20, 34D23; Secondary: 34Kxx, 34A08.

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Figure 1. Approximate solution for $ \alpha = 0.3 $

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Figure 2. Approximate solution for $\alpha = 0.5$

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Figure 3. Approximate solution for $\alpha = 0.65$

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Figure 4. Approximate solution for $\alpha = 0.75$

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Figure 5. Approximate solution for $ \alpha = 0.95 $

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