ArticleAdvances in difference equations2021
Mathematical analysis and optimal control interventions for sex structured syphilis model with three stages of infection and loss of immunity.
Article in Advances in difference equations, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.
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2 citing papers in PubMed.
- Dynamic analysis of syphilis model with the saturated incidence and early latent stage.Infectious Disease Modelling · 2026Article
- Mathematical modeling and analysis of a sex-structured syphilis model with control measures.BMC public health · 2025Article
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4 authors.
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Abstract
In this study, we develop a nonlinear ordinary differential equation to study the dynamics of syphilis transmission incorporating controls, namely prevention and treatment of the infected males and females. We obtain syphilis-free equilibrium (SFE) and syphilis-present equilibrium (SPE). We obtain the basic reproduction number, which can be used to control the transmission of the disease, and thus establish the conditions for local and global stability of the syphilis-free equilibrium. The stability results show that the model is locally asymptotically stable if the Routh-Hurwitz criteria are satisfied and globally asymptotically stable. The bifurcation analysis result reveals that the model exhibits backward bifurcation. We adopted Pontryagin's maximum principle to determine the optimality system for the syphilis model, which was solved numerically to show that syphilis transmission can be optimally best control using a combination of condoms usage and treatment in the primary stage of infection in both infected male and female populations.
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