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<p>This work aims to develop a novel mathematical model that tracks and controls disease outbreaks by integrating testing, tracing, isolation, and quarantine (TTIQ) strategies into the SEIQR epidemic framework to minimize the rate of infection escalation. The proposed model develops the frameworks of existing epidemic models by integrating the effects of TTIQ interferences, providing an inclusive understanding of their influence on the dynamics of transmission. The equilibrium points and a precise bifurcation and stability analysis are determined which give a perception about the dynamical behavior of the systems under different conditions. The effectiveness of the proposed model in reducing and controlling the spread of outbreaks is illustrated by numerical simulations, which provide a useful tool for instructing public health plans and achieving a lower infection rate.</p>

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Employing SEIQR-TTIQ dynamics: a novel procedure for managing outbreaks

  • 期刊论文

  • 发表日期：

    2025年9月1日

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  • Jumana H. S. Alkhalissi,
  • Firas H. Maghool

摘要

This work aims to develop a novel mathematical model that tracks and controls disease outbreaks by integrating testing, tracing, isolation, and quarantine (TTIQ) strategies into the SEIQR epidemic framework to minimize the rate of infection escalation. The proposed model develops the frameworks of existing epidemic models by integrating the effects of TTIQ interferences, providing an inclusive understanding of their influence on the dynamics of transmission. The equilibrium points and a precise bifurcation and stability analysis are determined which give a perception about the dynamical behavior of the systems under different conditions. The effectiveness of the proposed model in reducing and controlling the spread of outbreaks is illustrated by numerical simulations, which provide a useful tool for instructing public health plans and achieving a lower infection rate.