Analysis of a nonlinear age-structured SIS epidemic model with spatial diffusionAnalysis of a nonlinear age-structured SIS epidemic model...S. Nag, S. K. Tumuluri

被引：0
|
作者：
Soumak Nag [1 ]
Suman Kumar Tumuluri [1 ]
机构：
[1] University of Hyderabad,School of Mathematics and Statistics
来源：
Computational and Applied Mathematics | 2025年 / 44卷 / 5期
关键词：
SIS epidemic model; Nonlinear transmission; Fixed point; Semigroup; Local stability; 35B35; 35Q92; 47H10; 92D25;
D O I：
10.1007/s40314-025-03208-9
中图分类号：
学科分类号：
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.
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