Dynamics of cholera disease by using two recent fractional numerical methods


  • Pushpendra Kumar Department of Mathematics and Statistics, School of Basic and Applied Sciences, Central University of Punjab, Bathinda, Punjab-151001, India https://orcid.org/0000-0002-7755-2837
  • Vedat Suat Erturk Department of Mathematics, Ondokuz Mayis University, Atakum-55200, Samsun, Turkey https://orcid.org/0000-0002-1322-8843




Cholera disease, mathematical model, generalized Liouville-Caputo fractional derivative, numerical methods, graphical simulations


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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How to Cite

Kumar, P., & Erturk, V. S. (2021). Dynamics of cholera disease by using two recent fractional numerical methods. Mathematical Modelling and Numerical Simulation With Applications, 1(2), 102–111. https://doi.org/10.53391/mmnsa.2021.01.010



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