THE PERSISTENCE OF AN AGE-STRUCTURED SYPHILIS MODEL

Chenkai Guo; Peng Wu

doi:10.11948/20250094

2026 Volume 16 Issue 1

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Chenkai Guo, Peng Wu. THE PERSISTENCE OF AN AGE-STRUCTURED SYPHILIS MODEL[J]. Journal of Applied Analysis & Computation, 2026, 16(1): 296-311. doi: 10.11948/20250094

Citation:

Chenkai Guo, Peng Wu. THE PERSISTENCE OF AN AGE-STRUCTURED SYPHILIS MODEL[J]. Journal of Applied Analysis & Computation, 2026, 16(1): 296-311. doi: 10.11948/20250094

THE PERSISTENCE OF AN AGE-STRUCTURED SYPHILIS MODEL

Chenkai Guo^1,,
Peng Wu^1, ,

1.
School of Sciences, Hangzhou Dianzi University, Hangzhou 310018, China

Author Bio: Email: 22070425@hdu.edu.cn(C. Guo)
Corresponding author: Email: hzpengwu89@hdu.edu.cn(P. Wu)

Abstract

Abstract

Syphilis, a highly infectious bacterial infection, poses a significant health threat globally due to its high morbidity and mortality rates. Predominantly transmitted through sexual contact, the age distribution among hosts plays a pivotal role in the disease transmission dynamics. In this paper, we first formulate an age-structured epidemic model with four infection stages (primary, secondary, latent and tertiary) and then derive the explicit expression of the basic reproduction number by using the next generation equation. According to the definition of the persistence and applying advanced mathematical techniques, including multiple integral reordering, variable transformations, Laplace transforms, and the method of contradiction, we not only prove the weak persistence but also the strong persistence of the disease.
- Syphilis /
- age-structured model /
- the basic reproduction number /
- persistence
MSC: 92D30, 35B40, 58Z05

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References

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