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Tahavor, Milad, Memarbashi, Reza, Haqiri, Tayyebe. (1405). Nonlinear Dynamics and Behavioral Effects in an Extended $S_{1}S_{2}VIR$ Epidemic Model. سامانه مدیریت نشریات علمی, (), -. doi: 10.22034/cmde.2026.70924.3551
Milad Tahavor; Reza Memarbashi; Tayyebe Haqiri. "Nonlinear Dynamics and Behavioral Effects in an Extended $S_{1}S_{2}VIR$ Epidemic Model". سامانه مدیریت نشریات علمی, , , 1405, -. doi: 10.22034/cmde.2026.70924.3551
Tahavor, Milad, Memarbashi, Reza, Haqiri, Tayyebe. (1405). 'Nonlinear Dynamics and Behavioral Effects in an Extended $S_{1}S_{2}VIR$ Epidemic Model', سامانه مدیریت نشریات علمی, (), pp. -. doi: 10.22034/cmde.2026.70924.3551
Tahavor, Milad, Memarbashi, Reza, Haqiri, Tayyebe. Nonlinear Dynamics and Behavioral Effects in an Extended $S_{1}S_{2}VIR$ Epidemic Model. سامانه مدیریت نشریات علمی, 1405; (): -. doi: 10.22034/cmde.2026.70924.3551

Nonlinear Dynamics and Behavioral Effects in an Extended $S_{1}S_{2}VIR$ Epidemic Model

Computational Methods for Differential Equations
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 12 آبان 1405    اصل مقاله (1.43 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2026.70924.3551
نویسندگان
Milad Tahavor* 1؛ Reza Memarbashi1؛ Tayyebe Haqiri2
1Department of Mathematics, Semnan University, Semnan, Iran.
2Department of Mathematics, Damghan University, Damghan, Iran.
چکیده
In the present paper, we construct an extended $S_{1}S_{2}VIR$-type epidemiological model which includes behavioral adaptation, nonlinear incidence, and vaccination with leaky efficacy. The susceptible population is divided into two behavioral classes, whereby the model can depict various dynamic responses to perceived infection risk. We formulate the complete system of differential equations, find all disease-free and endemic equilibria, and carry out their local and global stability analyses by using Lyapunov methods and Routh-Hurwitz criteria. The analysis confirms a transcritical bifurcation at the threshold for effective reproduction $R_{v}=1$ and a saddle-node bifurcation in both infected and susceptible populations due to behavioral feedback. Numerical simulations and data-driven calibration against COVID-19 data will show that the model replicates the observed epidemic patterns and quantify the combined effects of vaccination and behavioral transitions. The presented framework gives a complete mathematical background for infectious diseases in which human behavior and imperfect vaccination play an important role.
کلیدواژه‌ها
Epidemiological modeling؛ Behavioral dynamics؛ Nonlinear incidence؛ Leaky vaccination؛ Disease-free equilibrium
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تعداد مشاهده مقاله: 1
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