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<p>In this article, a nonlinear SIS model with nonlocal disease transmission rate and diffusion in space is studied. Nonlinearity in the model is due to the dependence of the disease transmission rate on the total population. Semigroup theory is used to establish existence and uniqueness of solution of this nonlinear parabolic initial boundary value problem. Stability of the steady state is investigated using spectral analysis of the perturbed operator.</p>

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Analysis of a nonlinear age-structured SIS epidemic model with spatial diffusion

  • 期刊论文

  • 发表日期：

    2025年4月24日

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  • Soumak Nag,
  • Suman Kumar Tumuluri

摘要

In this article, a nonlinear SIS model with nonlocal disease transmission rate and diffusion in space is studied. Nonlinearity in the model is due to the dependence of the disease transmission rate on the total population. Semigroup theory is used to establish existence and uniqueness of solution of this nonlinear parabolic initial boundary value problem. Stability of the steady state is investigated using spectral analysis of the perturbed operator.