| Abstract: |
| This article presents a delay differential equations model to track the spread of rabies among dog and human populations. It considers two delay effects on vaccination efficacy and incubation duration, and uses singular and non-singular kernels to evaluate other factors influencing rabies transmission. The model`s uniqueness is established using fixed point, piecewise derivative, and integral approaches. A piecewise numerical iteration scheme based on Newton interpolation polynomials is used to obtain an approximate solution. The study aims to improve our understanding of rabies spread dynamics using a novel piecewise derivative approach, clarifying the concept of piecewise derivatives and their significance in understanding crossover dynamics. The dataset is divided into training, testing, and validation sets using Artificial Neural Network (ANN) approaches. |
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