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

• Main Authors: Samad Noeiaghdam, Sanda Micula
• Format: Article
• Language: English
• Published: MDPI AG 2021-05-01
• Series: Mathematics
• Subjects: malaria infection; discrete stochastic arithmetic; CESTAC method; CADNA library; homotopy analysis transform method
• Online Access: https://www.mdpi.com/2227-7390/9/9/1031

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 <i>ℏ</i>-curves the regions of convergence are demonstrated. The numerical approximations are obtained based on both arithmetics.