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ORIGINAL RESEARCH article
Front. Appl. Math. Stat.
Sec. Dynamical Systems
Volume 11 - 2025 | doi: 10.3389/fams.2025.1544002
This article is part of the Research Topic Advances in Computational Mathematics and Statistics: Volume II View all articles
Analysis of new mathematical model for Rabies through Wavelet method
Provisionally accepted- 1 Bangalore University, Bangalore, Karnataka, India
- 2 Chaudhary Charan Singh Haryana Agricultural University, Hisar, Haryana, India
Rabies is a fatal zoonotic disease caused by a virus, primarily spread through bites or saliva. Dogs are the main source of human infections worldwide. This article introduces a new mathematical model using fractional differential equations to analyze rabies transmission dynamics. The model consists of four compartments: susceptible and infected populations of both humans and animals, forming a system of fractional differential equations (SOFDEs). The modified Hermite wavelet collocation method (HWCM) is used to solve these equations by converting them into a nonlinear algebraic system. Newton-Raphson’s approach determines the unknown Hermite coefficients, and results are compared with ND Solver and RK4 methods. Visual and numerical analysis confirms the proposed method’s superior accuracy and effectiveness.
Keywords: Hermite wavelet, Riemann Liouville fractional derivative, Collocation method, Rabies model MSC Classification: 65L05, 65T60, 34A08, 34B16, 65L10
Received: 12 Dec 2024; Accepted: 03 Apr 2025.
Copyright: © 2025 R, S and Dhawan. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
* Correspondence:
Kumbinarasaiah S, Bangalore University, Bangalore, 560 056, Karnataka, India
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