{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,10]],"date-time":"2026-06-10T15:57:39Z","timestamp":1781107059659,"version":"3.54.1"},"reference-count":31,"publisher":"Frontiers Media SA","license":[{"start":{"date-parts":[[2025,4,23]],"date-time":"2025-04-23T00:00:00Z","timestamp":1745366400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":["frontiersin.org"],"crossmark-restriction":true},"short-container-title":["Front. Appl. Math. Stat."],"abstract":"<jats:p>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.<\/jats:p>","DOI":"10.3389\/fams.2025.1544002","type":"journal-article","created":{"date-parts":[[2025,4,23]],"date-time":"2025-04-23T05:21:05Z","timestamp":1745385665000},"update-policy":"https:\/\/doi.org\/10.3389\/crossmark-policy","source":"Crossref","is-referenced-by-count":5,"title":["Analysis of new mathematical model for rabies through wavelet 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