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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
A Sex-Structured Mathematical Epidemiology of Syphilis: With Control Measures and Public Health Applications

A Sex-Structured Mathematical Epidemiology of Syphilis: With Control Measures and Public Health Applications

Celestine, Agbata Benedict

Paperback

General Mathematics

ISBN10: 9999343422
ISBN13: 9789999343428
Publisher: Eliva Press
Published: Jul 21 2026
Pages: 58
Weight: 0.20
Height: 0.12 Width: 6.00 Depth: 9.00
Language: English
Syphilis remains a significant global public health challenge, with over seven million new adult infections each year despite the availability of effective treatment. Its continued persistence, particularly among high-risk and underserved populations, highlights the need for robust analytical models to understand transmission dynamics and inform targeted control strategies. This study presents a novel sex-structured compartmental model that captures the biological and behavioral complexity of syphilis transmission, incorporating multiple infection stages (primary, secondary, and latent), gender-specific progression, treatment, natural recovery, and reinfection. The population is stratified by sex and disease stage, allowing detailed analysis of transmission pathways between males and females. We established the positivity and boundedness of model solutions and derived the basic reproduction number (R0) using the next-generation matrix approach. Stability analysis showed that the disease-free equilibrium is locally asymptotically stable when (R0

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