Nonstandard Discretization and Stability Analysis of a novel type Malaria-Ross Model

Mehmet Kocabıyık

doi:10.21597/jist.1026364

Research Article

Nonstandard Discretization and Stability Analysis of a novel type Malaria-Ross Model

Year 2022, Volume: 12 Issue: 2, 1023 - 1033, 01.06.2022

Mehmet Kocabıyık

https://doi.org/10.21597/jist.1026364

Abstract

Malaria is still a deadly disease in most developing countries. In order to prevent this and many other diseases in all countries, it is necessary to understand the dynamics of the disease well. For this reason, in this study, a new type of Malaria-Ross equation, Distributed order, is discussed. In this new type, the dynamics of the disease can be understood better and quicker in different situations with the density function included in such equations. Numerical discretization of this model is done with the help of a nonstandard finite difference scheme. Afterward, stability analyses of the equilibrium points obtained from the model that were performed. At the same time, comparisons were made with other numerical methods. Finally, the findings are expressed with graphs and tables.

Keywords

Distributed order differential equations, Malaria-Ross model, numerical Analysis, discretization, stability Analysis

Supporting Institution

Scientific and Technological Research Council of Turkey (TUBITAK)

Project Number

2211-E Program

Thanks

One of the authors, Mehmet KOCABIYIK, thanks the Scientific and Technological Research Council of Turkey (TUBITAK) for providing financial and moral support with the 2211-E Program.

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