# American Institute of Mathematical Sciences

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

 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

Received  April 2018 Revised  June 2018 Published  March 2019

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.

Citation: Ebenezer Bonyah, Samuel Kwesi Asiedu. Analysis of a Lymphatic filariasis-schistosomiasis coinfection with public health dynamics: Model obtained through Mittag-Leffler function. Discrete & Continuous Dynamical Systems - S, doi: 10.3934/dcdss.2020029
##### References:

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##### References:
Approximate solution for $\alpha = 0.3$
Approximate solution for $\alpha = 0.5$
Approximate solution for $\alpha = 0.65$
Approximate solution for $\alpha = 0.75$
Approximate solution for $\alpha = 0.95$
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