Mathematical analysis of a time-delayed model on brucellosis transmission with disease testing information

• 作者: Lei Zhang Maoxing Liu Qiang Hou
• 来源期刊: 生物数学学报:英文版
• 学科: 数学
• 关键词: BRUCELLOSIS disease testing global stability BIFURCATION
• 年，卷（期）: 2020,（5）
• 页码范围: 171-193
• 页数: 23页
• 分类号: O17

摘要

Testing-culling is one of the important prevention and control measures considered in the study of animal infectious diseases.However,the process of finding infected animals(animal testing)is still not well studied through the kinetic model.In this paper,based on the characteristics of animal testing,a time-delayed model on brucellosis transmission is established.U nder the general hy pothesis of biological significance,the existence and stability of equilibria are first investigated.The results find that the global stability of equilibria depends on the basic reproduction number Ro without the information delay:if Ro S 1,the disease dies out;if Ro>1,the endemic equilibriurn exists and the disease persists.Next,the impact of information delay on the dynamics of the model is analyzed and Hopf bifurcation is found in the established model when the information delay is greater than a critical value.Finally,the thcoretical results are then further explained through numerical analysis and the significance of these results for the development of risk management measures is elaborated.