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Meena, Nisha, Khandelwal, Yoghesh, Yadav, Lukesh, Gour, Murli, Purohit, Sunil. (1404). An Investigation of Fractional Typhoid Fever Disease Model using Homotopy Decomposition Method. سامانه مدیریت نشریات علمی, (), -. doi: 10.22034/cmde.2025.65535.3018
Nisha Meena; Yoghesh Khandelwal; Lukesh Kumar Yadav; Murli Manohar Gour; Sunil Dutt Purohit. "An Investigation of Fractional Typhoid Fever Disease Model using Homotopy Decomposition Method". سامانه مدیریت نشریات علمی, , , 1404, -. doi: 10.22034/cmde.2025.65535.3018
Meena, Nisha, Khandelwal, Yoghesh, Yadav, Lukesh, Gour, Murli, Purohit, Sunil. (1404). 'An Investigation of Fractional Typhoid Fever Disease Model using Homotopy Decomposition Method', سامانه مدیریت نشریات علمی, (), pp. -. doi: 10.22034/cmde.2025.65535.3018
Meena, Nisha, Khandelwal, Yoghesh, Yadav, Lukesh, Gour, Murli, Purohit, Sunil. An Investigation of Fractional Typhoid Fever Disease Model using Homotopy Decomposition Method. سامانه مدیریت نشریات علمی, 1404; (): -. doi: 10.22034/cmde.2025.65535.3018

An Investigation of Fractional Typhoid Fever Disease Model using Homotopy Decomposition Method

Computational Methods for Differential Equations
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 14 مرداد 1404    اصل مقاله (4.04 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2025.65535.3018
نویسندگان
Nisha Meena1؛ Yoghesh Khandelwal1؛ Lukesh Kumar Yadav2؛ Murli Manohar Gour2؛ Sunil Dutt Purohit* 3
1Department of Mathematics, Jaipur National University, Jaipur, India.
2Department of Mathematics, Vivekananda Global University, Jaipur, India.
3Department of HEAS (Mathematics), Rajasthan Technical University, Kota, India.
چکیده
Typhoid fever remains a major public health threat on a global scale. It is mainly transmitted by contaminated food and water, particularly in places with poor sanitation. In this study, we are building a fractional order mathematical model to investigate the transmission dynamics of typhoid fever employing the Riemann–Liouville fractional derivative operator. The model is analyzed using the homotopy decomposition method (HDM) combined with the modified derivative $\beta$, which allows the incorporation of memory effects without requiring linearization, discretization, or restrictive assumptions, thus reducing computational complexity. The fixed-point theory (FPT) is used to prove the existence and uniqueness of the proposed model. MATLAB simulations are performed to graphically analyze the model's behavior, demonstrating how fractional parameters influence disease progression. The novelty of the present study lies in the detailed analysis of the effects of various epidemiological parameters on the dynamics of the disease, which are effectively illustrated through comprehensive graphical solutions. The results offer 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 typhoid fever model؛ fractional calculus؛ homotopy decomposition approach
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