The mathematical modeling of Nipah virus transmission, incorporating the bat-to-pig-to-human pathway, is essential for understanding this disease dynamics and optimizing control measures. Nipah virus, which naturally resides in animals, particularly fruit bats, spreads to humans via intermediate hosts like pigs. This research work highlights the significance of including this pathway in mathematical models for several crucial reasons. Firstly, it aids in comprehending zoonotic transmission, essential for designing effective control strategies. Secondly, it facilitates early detection and intervention by encompassing bats, pigs, and humans in the model. Monitoring factors such as bat population dynamics, pig infections, and human exposure enables timely intervention to prevent or mitigate outbreaks. Moreover, the complexity of Nipah virus transmission involving multiple species underscores the need for multifaceted control measures. We present a detailed mathematical model for Nipah vir.....

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This study explores the application of the weighted average method for solving the Burger-Fisher equation, a nonlinear partial differential equation (PDE) of significant interest in various scientific disciplines. Nonlinear PDEs, such as the Burger-Fisher equation, are fundamental in describing complex physical, biological, and engineering phenomena but pose challenges for both analytical and numerical solutions. The weighted average method, known for its ability to converge rapidly to exact solutions, offers a promising approach for tackling such equations. By discretizing both spatial and temporal derivatives using a combination of forward, backward, and central differences, the method approximates solutions with high accuracy and stability. Conducting convergence and stability analyses, this study elucidates the computational requirements and performance characteristics of the weighted average method. Utilizing mathematical software like MATLAB and MAPLE, the method's implementation.....

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