Computational Analysis of Nipah Virus Transmission Using Mathematical Modelling and Graphical Programming

In this paper, a proposed mathematical model, along with a computer simulation, examines the dynamics of Nipah virus transmission between pigs and humans. Additionally, a theoretical analysis of the proposed model is conducted to explore the spread mechanism of the virus. The stability of the proposed model is assessed, the equilibrium points are determined and the basic reproduction number is computed. The disease-free equilibrium showed locally asymptotic stability for R0 < 1. The solution existence and boundedness, as well as the Routh-Hurwitz criterion, are proven. Graphs are plotted to show the visual representation of the spread behavior. The numerical simulation demonstrated the varying behavior of the system. Finally, MATLAB-Simulink is used to develop a block diagram model of the system through graphical programming. Simulation results are conducted to verify the theoretical findings. The Simulink environment offers advantages over the traditional numerical methods which require manual calculations and extensive coding. Simulink provides real-time visualization and parameter tuning through its block diagram interface. Simulink can be utilized for more complex and multi-scale dynamical systems in the future. It can serve as a promising tool for advancing research in epidemiology.