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Analysis of SEIR epidemic patch model with nonlinear incidence rate, vaccination and quarantine strategies

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  • Meng, Lan
  • Zhu, Wei

Abstract

In this paper, a susceptible–exposed–infectious–recovered (SEIR) epidemic patch model with nonlinear incidence rate, vaccination and quarantine strategies is presented. According to the properties of nonnegative matrices, the range of basic reproduction number is obtained. Moreover, the stability of disease-free equilibrium is studied. Some numerical simulations are given to validate the theoretical results. The effects of vaccination, quarantine strategies and population migration on disease transmission are also investigated by numerical simulations.

Suggested Citation

  • Meng, Lan & Zhu, Wei, 2022. "Analysis of SEIR epidemic patch model with nonlinear incidence rate, vaccination and quarantine strategies," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 200(C), pages 489-503.
    • Handle: RePEc:eee:matcom:v:200:y:2022:i:c:p:489-503
    DOI: 10.1016/j.matcom.2022.04.027
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    References listed on IDEAS

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    1. Shuxue Mao & Rui Xu & Zhe Li & Yunfei Li, 2011. "Global Stability of an Eco-Epidemiological Model with Time Delay and Saturation Incidence," Discrete Dynamics in Nature and Society, Hindawi, vol. 2011, pages 1-22, November.
    2. Lan Meng & Wei Zhu & Binxiang Dai, 2021. "Generalized SEIR Epidemic Model for COVID-19 in a Multipatch Environment," Discrete Dynamics in Nature and Society, Hindawi, vol. 2021, pages 1-12, December.
    3. Liu, Qun & Jiang, Daqing & Shi, Ningzhong & Hayat, Tasawar & Alsaedi, Ahmed, 2018. "The threshold of a stochastic SIS epidemic model with imperfect vaccination," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 144(C), pages 78-90.
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    Cited by:

    1. Tibor Kmet & Maria Kmetova & Ladislav Végh, 2023. "Neural Networks Simulation of Distributed SEIR System," Mathematics, MDPI, vol. 11(9), pages 1-14, April.

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