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The Impact of the Number of Hospital Beds and Spatial Heterogeneity on an SIS Epidemic Model

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Abstract

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.

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Acknowledgement

The authors would like to thank the anonymous reviewers for their valuable comments and suggestions that helped improve the quality of this manuscript.

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Authors and Affiliations

  1. School of Mathematical Science, Yangzhou University, Yangzhou, 225002, China

    Mengyun Zhang, Jing Ge & Zhigui Lin

  2. School of Mathematical Science, Huaiyin Normal University, Huaian, 223300, China

    Jing Ge

  3. Laboratory of Mathematical Parallel Systems (LAMPS), Department of Mathematics and Statistics, York University, Toronto, ON, M3J 1P3, Canada

    Mengyun Zhang

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  1. Mengyun Zhang
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Correspondence to Zhigui Lin.

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The work is partially supported by the NNSF of China (Grant No. 11771381, 11701206), Graduate Research and Innovation Projects of Jiangsu Province and Yangzhou University International Academic Exchange Fund.

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Zhang, M., Ge, J. & Lin, Z. The Impact of the Number of Hospital Beds and Spatial Heterogeneity on an SIS Epidemic Model. Acta Appl Math 167, 59–73 (2020). https://doi.org/10.1007/s10440-019-00268-y

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