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Analysis of Lassa hemorrhagic fever model with non-local and non-singular fractional derivatives.

Authors :
Jain, Sonal
Atangana, Abdon
Source :
International Journal of Biomathematics. Nov2018, Vol. 11 Issue 8, pN.PAG-N.PAG. 19p.
Publication Year :
2018

Abstract

In this paper, we investigate a possible applicability of the newly established fractional differentiation in the field of epidemiology. To do this, we extend the model describing the Lassa hemorrhagic fever by changing the derivative with the time fractional derivative for the inclusion of memory. Detailed analysis of existence and uniqueness of exact solution is presented using the Banach fixed point theorem. Finally, some numerical simulations are shown to underpin the effectiveness of the used derivative. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
17935245
Volume :
11
Issue :
8
Database :
Academic Search Index
Journal :
International Journal of Biomathematics
Publication Type :
Academic Journal
Accession number :
134020782
Full Text :
https://doi.org/10.1142/S1793524518501000