@article{Khan2022, 
author = {Amir Khan and Abdur Raouf and Rahat Zarin and Abdullahi Yusuf and Usa Wannasingha Humphries},
title = {Existence theory and numerical solution of leptospirosis disease model via exponential decay law},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {5},
pages = {8822-8846},
keywords = {mathematical model, exponential decay law, Sumudu transform, existence and uniqueness},
url = {https://www.sciopen.com/article/10.3934/math.2022492},
doi = {10.3934/math.2022492},
abstract = {We investigated the leptospirosis epidemic model by using Caputo and Fabrizio fractional derivatives. Picard's successive iterative method and Sumudu transform are taken into consideration for developing the iterative solutions for the leptospirosis disease. Employing nonlinear functional analysis, the stability and uniqueness of the proposed model are established. Sensitivity analysis is taken into account to highlight the most sensitive parameters corresponding to the basic reproductive number. Various solutions to the proposed system have been interpolated by graphs with the application of Matlab software.}
}