Mathematical Modelling and Numerical Simulation with Applications

Mathematical Modelling and Numerical Simulation with Applications

Dynamics of cholera disease by using two recent fractional numerical methods

Yazarlar: Pushpendra Kumar, Vedat Suat Erturk

Cilt 1 , Sayı 2 , 2021 , Sayfalar 102-111

Konular:-

DOI:10.53391/mmnsa.2021.01.010

Anahtar Kelimeler:Cholera disease,Mathematical model,Generalized Liouville,Aputo fractional derivative,Numerical methods,Graphical simulations

Özet: In this paper, we simulate an epidemic model of cholera disease in the sense of generalized Liouville-Caputo fractional derivative. We provide the results related to the existence of a unique solution by using some well-known theorems. Numerical solutions of the given model are derived by using two different numerical methods along with their importance. A number of graphs are plotted to understand the given cholera disease dynamics. The main motivation to do this research is to understand the given disease dynamics as well as the efficiency of both methods which are very recent to the literature.

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@article{2021, title={Dynamics of cholera disease by using two recent fractional numerical methods}, volume={1}, number={102–111}, publisher={Mathematical Modelling and Numerical Simulation with Applications}, author={Pushpendra Kumar,Vedat Suat Erturk}, year={2021} }
APA
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Pushpendra Kumar,Vedat Suat Erturk. (2021). Dynamics of cholera disease by using two recent fractional numerical methods (Vol. 1). Vol. 1. Mathematical Modelling and Numerical Simulation with Applications.
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Pushpendra Kumar,Vedat Suat Erturk. Dynamics of Cholera Disease by Using Two Recent Fractional Numerical Methods. no. 102–111, Mathematical Modelling and Numerical Simulation with Applications, 2021.
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