一类肝吸虫病动力学模型及后向分支分析  

Dynamic Model and Backward Bifurcation Analysis of Clonorchiasis

作　　者：黄自然 古月明 HUANG Ziran;GU Yueming(School of Mathematics and Computer Science,Gannan Normal University;Rehabilitation College,Gannan Medical University,Ganzhou 341000,China)

机构地区：[1]赣南师范大学数学与计算机科学学院 [2]赣南医科大学康复学院,江西赣州341000

出　　处：《赣南师范大学学报》2024年第6期9-13,共5页Journal of Gannan Normal University

基　　金：国家自然科学基金地区项目(12161005)。

摘　　要：本文建立了一类具有标准发生率的肝吸虫病传播模型,得到了模型的基本再生数,讨论了无病平衡点的稳定性,利用Castillo-Song分支定理证明了后向分支的存在性.A Clonorchiasis transmission model is formulated with standard incidence.The basic reproduction number of the model was calculated and the stability of the disease-free equilibrium was analyzed.The existence of backward bifurcation was verified and the bifurcation of the model was analyzed by employing the Castillo-Song bifurcation theorem.

关 键 词：肝吸虫病 基本再生数 稳定性 后向分支 

分 类 号：O175[理学—数学]