To explore the impact of the number of hospital beds on the prevention and control of an infectious disease, a diffusive SIS epidemic model in a heterogeneous environment is proposed and investigated. A nonlinear recovery rate is introduced to describe the effects of the number of hospital beds on the transmission dynamics of the disease. The basic reproduction number, which depends on the number of hospital beds and spatial heterogeneity, is defined. It is shown that a sufficient number of hospital beds is very important for disease control and eradication. The numerical simulations are presented to confirm our theoretical results.

中文翻译：

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医院病床数量和空间异质性对SIS流行病模型的影响

为了探讨医院病床数量对传染病预防和控制的影响，提出并研究了异构环境下的扩散SIS流行病模型。引入非线性恢复率来描述病床数量对疾病传播动力学的影响。定义了基本繁殖数量，该数量取决于医院病床的数量和空间异质性。结果表明，足够数量的病床对于控制和根除疾病非常重要。进行数值模拟以证实我们的理论结果。