印度HIV/AIDS分形传播时间分数模型参数估计研究

IF 4.4 2区数学 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Mathematics and Computers in Simulation Pub Date : 2025-03-03 DOI:10.1016/j.matcom.2025.02.011

Lalchand Verma , Ramakanta Meher , Darshak P. Pandya

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引用次数: 0

摘要

这项工作考虑了一个分形维的时间分数HIV/AIDS模型，以检查意识对HIV/AIDS动态的影响。它使用1990年至2016年的实际数据调查了印度艾滋病毒/艾滋病传播动态的流行病学模型，以验证所提出的模型。利用Picard-Lindelof方法证明了以无病平衡点和基本繁殖数R0进行稳定性分析的解的唯一性和存在性。Adams-Bashforth方法采用广义幂律核形式的两步拉格朗日多项式来获得所提出模型的数值解。最后，使用最小二乘曲线拟合方法与1990年至2016年印度报告的HIV病例的实际数据对所提出模型的参数研究进行估计。

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Parameter estimation study of temporal fractional HIV/AIDS transmission model with fractal dimensions using real data in India

This work considers a temporal fractional HIV/AIDS model with fractal dimensions to examine the influence of awareness on the dynamics of HIV/AIDS. It investigates an epidemiological model of the dynamics of HIV/AIDS transmission in India using actual data from 1990 to 2016 to authenticate the proposed model. The Picard–Lindelof approach is employed to demonstrate the uniqueness and existence of the solutions where the stability analysis is done with the disease-free equilibrium point and basic reproduction number

R_{0}

. The Adams–Bashforth method employs a two-step Lagrange polynomial in the generalised power-law kernel form to obtain the proposed model’s numerical solution. Finally, the least square curve fitting method is used to estimate the parametric study of the proposed model with the actual data on HIV cases reported in India from 1990 to 2016.

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来源期刊

Mathematics and Computers in Simulation 数学-计算机：跨学科应用

CiteScore

8.90

自引率

4.30%

发文量

335

审稿时长

54 days

期刊介绍： The aim of the journal is to provide an international forum for the dissemination of up-to-date information in the fields of the mathematics and computers, in particular (but not exclusively) as they apply to the dynamics of systems, their simulation and scientific computation in general. Published material ranges from short, concise research papers to more general tutorial articles. Mathematics and Computers in Simulation, published monthly, is the official organ of IMACS, the International Association for Mathematics and Computers in Simulation (Formerly AICA). This Association, founded in 1955 and legally incorporated in 1956 is a member of FIACC (the Five International Associations Coordinating Committee), together with IFIP, IFAV, IFORS and IMEKO. Topics covered by the journal include mathematical tools in: •The foundations of systems modelling •Numerical analysis and the development of algorithms for simulation They also include considerations about computer hardware for simulation and about special software and compilers. The journal also publishes articles concerned with specific applications of modelling and simulation in science and engineering, with relevant applied mathematics, the general philosophy of systems simulation, and their impact on disciplinary and interdisciplinary research. The journal includes a Book Review section -- and a "News on IMACS" section that contains a Calendar of future Conferences/Events and other information about the Association.