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<p>In this paper we investigate the asymptotic behavior of some SIR models incorporating demography, bounded random transmission coefficient and a time-dependent vaccination strategy targeting the susceptible population. In this setting, we establish the existence and uniqueness of non-negative global solution of the models and derive conditions under which either the disease is eradicated or becomes endemic. In addition, the theoretical results are further illustrated by several numerical simulations.</p>

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SIR models with demography, random transmission coefficient and non-autonomous vaccination rate

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年10月15日

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  • Javier López-de-la-Cruz,
  • Susana Merchán,
  • Felipe Rivero,
  • Javier Rodrigo

摘要

In this paper we investigate the asymptotic behavior of some SIR models incorporating demography, bounded random transmission coefficient and a time-dependent vaccination strategy targeting the susceptible population. In this setting, we establish the existence and uniqueness of non-negative global solution of the models and derive conditions under which either the disease is eradicated or becomes endemic. In addition, the theoretical results are further illustrated by several numerical simulations.