پیوندهای مفید
آمار
| تعداد نشریات | 32 |
| تعداد شماره‌ها | 604 |
| تعداد مقالات | 5,906 |
| تعداد مشاهده مقاله | 8,922,561 |
| تعداد دریافت فایل اصل مقاله | 6,535,777 |
A Fractal Model to Epidemic Dynamics: Numerical Simulations, Parameter Sensitivity and Bifurcation Analysis | ||
| Caspian Journal of Mathematical Sciences | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 21 آبان 1405 | ||
| نوع مقاله: Research Articles | ||
| شناسه دیجیتال (DOI): 10.22080/cjms.2026.32793.1923 | ||
| نویسنده | ||
| Mehmet Kocabıyık* | ||
| Department of Mathematics, Faculty of Arts and Sciences, Burdur Mehmet Akif Ersoy University, Burdur, Turkey | ||
| تاریخ دریافت: 29 مرداد 1405، تاریخ بازنگری: 09 مهر 1405، تاریخ پذیرش: 12 مهر 1405 | ||
| چکیده | ||
| This paper introduces an epidemiological model formulated with a non-local fractal derivative to describe the complex transmission dynamics of infectious diseases. Extending classical compartmental frameworks, the model incorporates memory-dependent behavior and non-local temporal interactions to provide a more realistic representation of epidemic progression. The analytical study establishes the disease-free and endemic equilibria, as well as the basic reproduction number. Numerical simulations via the fractal Euler method reveal how different fractal orders influence infection peaks, hospitalization curves, intensive care demand, and recovery patterns. Furthermore, sensitivity analyses evaluate how the contact rate, disease progression rate, quarantine transition and activation rates, and natural mortality shape the epidemic trajectory. By integrating fractal calculus into multi-compartment dynamics through stability analysis and realistic numerical computations, this study contributes to mathematical epidemiology. Ultimately, this approach highlights the importance of incorporating scaling and memory effects into epidemic models to enhance forecasting power and guide targeted public health interventions. | ||
| کلیدواژه‌ها | ||
| Fractal calculus؛ Fractal Euler method؛ Parameter sensitivity analysis؛ Bifurcation theory | ||
|
آمار تعداد مشاهده مقاله: 1 |
||