数学杂志2025，Vol.45Issue(4)：365-376,12.
一类具有性别结构的淋病SIRS传染病模型研究
STUDY ON A GONORRHEA TRANSMISSION SIRS MODEL WITH SEXED-STRUCTURE
摘要
Abstract
In this paper,a gonorrhea transmission SIRS model with sexual structure is proposed to characterize the effects of homeosexual and heterosexual behaviour on the transmission dynamics of disease.First,the nonnegativity and boundedness of the solutions for the model are proved.Second,the basic reproduction number R0 is computed by the next-generation matrix method.Furthermore,based on the basic reproduction number,and using the comparison principle and persistence related theory,it is proved that the disease-free equilibrium is globally asymptotically stable when R0＜1;and that the model is uniformly persistent and has at least one positive equilibrium when R0＞1.In addition,the global asymptotic stability of the endemic equilibrium is obtained by constructing the Lyapunov function when gonorrhea is permanently immune.Finally,the validity of the theoretical results is demonstrated by numerical simulations,It is shown that effective control of the male patient population would substantially reduce the overall prevalence of gonorrhea in the general population.关键词
淋病/基本再生数/性别结构/全局渐近稳定/一致持续Key words
gonorrhea/basic regeneration number/sexual structure/global stability/uni-form persistence分类
数理科学引用本文复制引用
杨欢,吴浩,丁瑞迪,张龙..一类具有性别结构的淋病SIRS传染病模型研究[J].数学杂志,2025,45(4):365-376,12.基金项目
国家自然科学基金项目资助(12261087),新疆维吾尔自治区自然科学杰出青年基金资助(2022D01E41),新疆维吾尔自治区天山英才领军人才项目资助(2023TSYCLJ0054). （12261087）
