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This study introduces a switched SQEIAR epidemic model that accounts for variability in the contact rate. The basic reproduction number ( \({R}_{0}\) ) of the proposed model is calculated, and its equilibria are determined, followed by a stability analysis. A qualitative analysis is presented, including a theorem that examines the positive invariance property of the model’s solutions. To ensure globally uniformly exponential stability (GUES), a contact-rate-dependent average dwell time (CRDADT) strategy is proposed. This strategy is supported by a Lyapunov function, and sufficient conditions, expressed as linear matrix inequalities (LMIs), are derived. The strategy’s effectiveness is demonstrated through a numerical example.

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Stability and Qualitative Analysis of a Switched SQEIAR Epidemic Model

  • 会议论文

  • 发表日期：

    2025年

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  • Zohreh Abbasi,
  • Xinzhi Liu

摘要

This study introduces a switched SQEIAR epidemic model that accounts for variability in the contact rate. The basic reproduction number ( \({R}_{0}\) ) of the proposed model is calculated, and its equilibria are determined, followed by a stability analysis. A qualitative analysis is presented, including a theorem that examines the positive invariance property of the model’s solutions. To ensure globally uniformly exponential stability (GUES), a contact-rate-dependent average dwell time (CRDADT) strategy is proposed. This strategy is supported by a Lyapunov function, and sufficient conditions, expressed as linear matrix inequalities (LMIs), are derived. The strategy’s effectiveness is demonstrated through a numerical example.