Dynamical Strategy to Control the Accuracy of the Nonlinear Bio-Mathematical Model of Malaria Infection

Samad Noeiaghdam and Sanda Micula
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Samad Noeiaghdam: Department of Applied Mathematics and Programming, South Ural State University, Lenin Prospect 76, 454080 Chelyabinsk, Russia
Sanda Micula: Department of Mathematics, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania

Mathematics, 2021, vol. 9, issue 9, 1-24

Abstract: This study focuses on solving the nonlinear bio-mathematical model of malaria infection. For this aim, the HATM is applied since it performs better than other methods. The convergence theorem is proven to show the capabilities of this method. Instead of applying the FPA, the CESTAC method and the CADNA library are used, which are based on the DSA. Applying this method, we will be able to control the accuracy of the results obtained from the HATM. Also the optimal results and the numerical instabilities of the HATM can be obtained. In the CESTAC method, instead of applying the traditional absolute error to show the accuracy, we use a novel condition and the CESTAC main theorem allows us to do that. Plotting several ? -curves the regions of convergence are demonstrated. The numerical approximations are obtained based on both arithmetics.

Keywords: malaria infection; discrete stochastic arithmetic; CESTAC method; CADNA library; homotopy analysis transform method (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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