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Analyzing peak and late phase sensitivities in a delayed alcoholism model with Taylor wavelets | ||
| Journal of Mathematical Modeling | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 31 اردیبهشت 1405 اصل مقاله (505.34 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2026.32955.2999 | ||
| نویسندگان | ||
| Neslişah İmamoğlu Karabaş؛ Sevin Gümgüm* | ||
| İzmir University of Economics | ||
| چکیده | ||
| We apply the Taylor wavelet collocation method to a nonlinear de- layed SDTR alcoholism model and conduct a systematic sensitivity analysis that reveals qualitatively different parameter roles at the epidemic peak and at the late phase of the simulation. A fine sweep of the delay parameter τ uncovers a non- monotonic response in every compartment, with an interior extremum that has not been previously reported for this model class. Applying the method, continuous piecewise-polynomial approximations of the model were obtained without lineariza- tion. Accuracy of the method was confirmed through residual error calculations and through a comparison with the MATLAB dde23 solver on the full simulation inter- val. The method delivers continuous polynomial approximations on each subinterval and reproduces benchmark DDE solutions on the full simulation horizon. Sensitiv- ity analysis was performed at both epidemic peaks and at the late phase of the simulation. It was found that parameters show significantly different behaviors over these time scales. Social transmission has marked impacts on peak burden but re- verses sign at the late phase. Treatment parameters show their largest sensitivities at the late phase, with treatment-entry rate also acting strongly at the peak. Time delay produces a non-monotonic effect—each compartment exhibits an interior ex- tremum on the plausible range τ ∈ [0, 8], with Dpeak maximized near τ ≈ 2–3 and D(t = 30) minimized near τ ≈ 4. These differences imply that controlling peaks requires different intervention strategies than controlling late-phase addiction levels. | ||
| کلیدواژهها | ||
| Alcoholism model؛ time delay؛ parametric investigation؛ Taylor wavelet method | ||
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آمار تعداد مشاهده مقاله: 5 تعداد دریافت فایل اصل مقاله: 3 |
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