Bifurcation analysis of a synthetic drugs model affected by multiple factors

Jun Li and Kuilin Wu

Chaos, Solitons & Fractals, 2024, vol. 178, issue C

Abstract: Synthetic drug addiction represents an escalating worldwide concern. In this paper, we introduce a comprehensive synthetic drug addiction model that considers both psychosocial and environmental factors. Additionally, our model encompasses aspects related to relapse and the drug supply chain. Through a dynamic analysis of this model, we uncover a multitude of intricate dynamical phenomena, including saddle–node bifurcation, Hopf bifurcation. Meanwhile, we have also obtained an elliptic-type nilpotent singularity. Furthermore, we provide bifurcation diagrams and corresponding phase diagrams to offer epidemiological insights into these intricate dynamic phenomena.

Keywords: Synthetic drugs; Hopf bifurcation; Saddle–node bifurcation; Elliptic type nilpotent singularity (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:178:y:2024:i:c:s0960077923013024

DOI: 10.1016/j.chaos.2023.114400

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