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Analysis of an edge-based SEIR epidemic model with sexual and non-sexual transmission routes

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  • Yang, Qian
  • Huo, Hai-Feng
  • Xiang, Hong

Abstract

A new edge-based SEIR epidemic model with sexual and non-sexual transmission routes is studied. The basic reproduction number and the final epidemic size of the disease are obtained. The type reproduction numbers which measure the control effort on a particular route of transmission are also calculated. Further, the resulting equations are tested against simulations and their predictions for different disease scenarios are analyzed. The numerical simulation of the model is compared with the population average of the random simulation, and sensitivity analysis is also performed on several parameters. We conclude that the control effort over a particular route of transmission is affected by other routes. In addition, both the initial infection and the length of the latent period affect the peak arrival time and the peak size of the epidemic.

Suggested Citation

  • Yang, Qian & Huo, Hai-Feng & Xiang, Hong, 2023. "Analysis of an edge-based SEIR epidemic model with sexual and non-sexual transmission routes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 609(C).
    • Handle: RePEc:eee:phsmap:v:609:y:2023:i:c:s0378437122008986
    DOI: 10.1016/j.physa.2022.128340
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    References listed on IDEAS

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    1. Xiangrui Li & Shuibo Huang, 2019. "Stability and Bifurcation for a Single-Species Model with Delay Weak Kernel and Constant Rate Harvesting," Complexity, Hindawi, vol. 2019, pages 1-17, December.
    2. Cai, Yongli & Jiao, Jianjun & Gui, Zhanji & Liu, Yuting & Wang, Weiming, 2018. "Environmental variability in a stochastic epidemic model," Applied Mathematics and Computation, Elsevier, vol. 329(C), pages 210-226.
    3. Barabási, Albert-László & Albert, Réka & Jeong, Hawoong, 1999. "Mean-field theory for scale-free random networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 272(1), pages 173-187.
    4. Wang, Yi & Jin, Zhen, 2013. "Global analysis of multiple routes of disease transmission on heterogeneous networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(18), pages 3869-3880.
    5. Joel C Miller, 2014. "Epidemics on Networks with Large Initial Conditions or Changing Structure," PLOS ONE, Public Library of Science, vol. 9(7), pages 1-9, July.
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