Work

Analysis of new mathematical model for rabies through wavelet method

Year: 2025

Type: article

Abstract: 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 non-linear algebraic system. Newton-Raphson's approach determines the unknown Hermite coefficients, and the results are compared with ND Solver and RK4 methods. Visual and numerical analysis confirms the proposed method's superior accuracy and effectiveness.

Source: Frontiers in Applied Mathematics and Statistics

DOI: 10.3389/fams.2025.1544002

Authors: R. Yeshwanth, S. Kumbinarasaiah, Sharanjeet Dhawan

Institutions: Bangalore University, Chaudhary Charan Singh Haryana Agricultural University

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

Open Access status: gold

Estimated APC paid: $1,418

Funders: Department of Science and Technology, Ministry of Science and Technology, India, Science and Engineering Research Board