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An investigation on transmission and control of fractional-order hepatitis B model | ||
| Journal of Mathematical Modeling | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 24 فروردین 1405 اصل مقاله (297.6 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2026.31885.2878 | ||
| نویسندگان | ||
| Deepak -1؛ Lokesh Kumar Yadav2؛ Murli Manohar Gour2؛ Sunil Dutt Purohit* 3 | ||
| 1Department of Mathematics, Vivekananda Global University Jaipur | ||
| 2Department of Mathematics, Vivekananda Global University Jaipur, India | ||
| 3Rajasthan Technical University, Kota | ||
| چکیده | ||
| Mathematical models are useful for understanding and managing infectious diseases. They assist researchers and public health personnel in decision-making by providing data, evaluating the impact of interventions, and estimating the spread of diseases. The main objective of the present work is to provide an in-depth analysis of the transmission and control of a hepatitis B model under the Caputo fractional derivative, including both qualitative and semi-analytical investigations. Fixed-point theory is employed to establish the conditions for the existence and uniqueness of solutions to the proposed model. The obtained solutions are graphically simulated using MATLAB. The physical significance of this study lies in its ability to capture memory effects and long-term dependencies in the transmission dynamics of the hepatitis B model, which cannot be explained by classical models. The results provide valuable insights for designing effective disease-control strategies and contribute to the advancement of fractional epidemiological modeling, with potential applications in public health policy and clinical research. | ||
| کلیدواژهها | ||
| Fractional hepatitis B virus model؛ Caputo fractional derivative؛ existence theory؛ fixed point theory؛ semi analytical results | ||
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آمار تعداد مشاهده مقاله: 1 تعداد دریافت فایل اصل مقاله: 2 |
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