Threshold dynamics: Formulation, stability & sensitivity analysis of co-abuse model of heroin and smoking

Xuhui Li, Ravi P. Agarwal, J.F. Gómez-Aguilar, Qaisar Badshah and Ghaus ur Rahman

Chaos, Solitons & Fractals, 2022, vol. 161, issue C

Abstract: In this study, a smoking and heroin co-abuse model is proposed for the first time in the literature. To research the dynamics and impacts of smoking-heroin co-morbidity in the workplace, a nonlinear dynamical system is built and qualitatively analyzed in this study. When R0<1, the threshold quantity of sub-models is obtained, and it is proven that they have latin hypercube sampling (LAS) at substance free equilibria. Conditions for existence of substance present equilibria of sub-models are also obtained. The impact of smokers on heroin users' dynamics is examined further. In terms of epidemiology, the results of uncertainty and sensitivity studies are crucial. As a result, the co-abuse model is treated with the (LHS) and partial rank correlation coefficient techniques.

Keywords: Co-abuse model; Stability analysis; Sensitivity analysis; Substance free/present equilibrium point (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:161:y:2022:i:c:s0960077922005835

DOI: 10.1016/j.chaos.2022.112373

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