Comprehensive Validation: Enhancing the Modified NERAH Model via Rigorous Sensitivity Analysis
Abstract
Marijuana is an illegal drug with several detrimental health impacts, remaining a significant threat to public health in developing nations. Transmission of marijuana occurs through interactions between smokers and non-smokers. The NERAH model, previously introduced in a study on marijuana usage within the target population, comprises five distinct stages: non-smokers, experimental smokers, recreational smokers, addicted smokers and hospitalized individuals. This study modifies the Non-smokers, Experimental, Recreational, Addicted and Hospitalized (NERAH) smokers' model by introducing a new class called the prisoner's class, replacing the hospitalized class. Additionally, the Modified model's validation using the sensitivity analysis idea is the primary objective of this study. The reproduction number for marijuana use was obtained using the next-generation matrix method, aiding in assessing the rate at which marijuana smoking spreads within the population. The sensitivity analysis results reveal the factors significantly influencing marijuana smoking. Validation of the modified model incorporates various techniques, including the basic reproduction number and invariant region utilizing the sensitivity analysis concept. First-order non-linear ordinary differential equations are employed for modification of the NERAH model. Numerical simulations are conducted with the help of MATLAB using the Runge-Kutta method of order four. Finally, the results of the modified model are…
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