Scholarlink

<p>According to the World Health Organization, 422&#xa0;million people worldwide have diabetes, the majority living in low-and middle-income countries, and 1.5&#xa0;million deaths are directly attributed to diabetes each year. In this paper, the deterministic technique is used in a delayed mathematical model of diabetes. Our concept is explained in terms of four-compartment population dynamics, likely the susceptible, exposed, infected, and managed. The diabetes-free equilibrium (DFE), and diabetes-existing equilibrium (DEE) are the two non-negative equilibriums studied rigorously in a model. The expression for the treatment reproduction number is computed, and the model’s equilibriums are asymptotically stable, locally and globally. The sensitivity of the model’s parameter lets us know which parameter is more sensitive and which is less sensitive. Standard and nonstandard techniques like Euler, Runge-Kutta, and nonstandard finite difference (NSFD) methods for delay differential equations (DDEs) are presented for computational analysis. Also, the local and global stabilities of an efficient method nonstandard finite difference (NSFD) are studied rigorously in a novel model. Furthermore, the nonstandard finite difference approximation is efficient, low-cost, and independent of time step size.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Investigation of diabetes mellitus transmission in humans by using time delay tool and numerical treatment approach

  • 期刊论文

  • 发表日期：

    2025年2月3日

查看全文
  • Ali Raza,
  • Ayesha Shabbir,
  • Umar Shafique,
  • Nauman Ahmed,
  • Muhammad Rafiq

摘要

According to the World Health Organization, 422 million people worldwide have diabetes, the majority living in low-and middle-income countries, and 1.5 million deaths are directly attributed to diabetes each year. In this paper, the deterministic technique is used in a delayed mathematical model of diabetes. Our concept is explained in terms of four-compartment population dynamics, likely the susceptible, exposed, infected, and managed. The diabetes-free equilibrium (DFE), and diabetes-existing equilibrium (DEE) are the two non-negative equilibriums studied rigorously in a model. The expression for the treatment reproduction number is computed, and the model’s equilibriums are asymptotically stable, locally and globally. The sensitivity of the model’s parameter lets us know which parameter is more sensitive and which is less sensitive. Standard and nonstandard techniques like Euler, Runge-Kutta, and nonstandard finite difference (NSFD) methods for delay differential equations (DDEs) are presented for computational analysis. Also, the local and global stabilities of an efficient method nonstandard finite difference (NSFD) are studied rigorously in a novel model. Furthermore, the nonstandard finite difference approximation is efficient, low-cost, and independent of time step size.