Dynamics of an edge-based SEIR model for sexually transmitted diseases

Hai-Feng Huo; Qian Yang; Hong Xiang; Hai-Feng Huo; Qian Yang; Hong Xiang

doi:10.3934/mbe.2020035

Mathematical Biosciences and Engineering

2020, Volume 17, Issue 1: 669-699. doi: 10.3934/mbe.2020035

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Dynamics of an edge-based SEIR model for sexually transmitted diseases

Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu, 730050, China

Received: 16 August 2019 Accepted: 26 September 2019 Published: 22 October 2019

A new edge-based sexually transmitted SEIR model on the contact network is introduced in this paper. The contact infection between the opposite sex and no infectivity during the latent period on bipartite networks are included. The basic reproduction number and the equations of the final size of epidemic are derived. The dynamics of our model with arbitrary initial conditions are further studied. Sensitivity analysis on several parameters and numerical results of the model are derived. We show that the length of the latent period has an effect on arrival time and size of disease peak, but does not affect the final epidemic size and the basic reproduction number of the disease.
- sexually transmitted disease,
- SEIR epidemic model,
- bipartite networks,
- initial value and basic reproduction number
Citation: Hai-Feng Huo, Qian Yang, Hong Xiang. Dynamics of an edge-based SEIR model for sexually transmitted diseases[J]. Mathematical Biosciences and Engineering, 2020, 17(1): 669-699. doi: 10.3934/mbe.2020035

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Abstract

A new edge-based sexually transmitted SEIR model on the contact network is introduced in this paper. The contact infection between the opposite sex and no infectivity during the latent period on bipartite networks are included. The basic reproduction number and the equations of the final size of epidemic are derived. The dynamics of our model with arbitrary initial conditions are further studied. Sensitivity analysis on several parameters and numerical results of the model are derived. We show that the length of the latent period has an effect on arrival time and size of disease peak, but does not affect the final epidemic size and the basic reproduction number of the disease.

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