A delayed stage-structure brucellosis model with interaction among seasonality, time-varying incubation and density-dependent growth  

作　　者：Hao Wu Wei Chen Ning Wang Long Zhang Hong-Li Li Zhidong Teng 

机构地区：[1]College of Mathematics and Systems Science Xinjiang University,Urumqi 830017 People's Republic of China [2]The Key Laboratory of Applied Mathematics of Xinjiang Uygur Autonomous Region Xinjiang University,Urumqi830017 People's Republic of China [3]College of Medical Engineering and Technology Xinjiang Medical University,Urumqi 830017 People's Republic of China

出　　处：《International Journal of Biomathematics》2023年第6期113-148,共36页生物数学学报（英文版）

摘　　要：In this paper,a class of brucellosis transmission model with seasonal alternation,density-dependent growth,stage-structure,maturation delay,time-varying incubation is established.The basic reproduction number Ro is derived,by which we find that the brucellosis is uniformly persistent if R_(0)>1,while the disease-free periodic solution is globally attractive if R_(0)<1.The theoretical results are illustrated by numerical simulation,from which we find that the brucellosis transmission would be overestimated(or underestimated)if we ignore the influence of time-varying incubation or maturation delay.If density-dependent growth of animals is ignored,the risk of brucellosis may be far underestimated,the extinction of brucellosis can be obtained by numerical simulation under the same conditions.Seasonality significantly affects the long-term dynamic behavior of brucellosis,and the inconsistency of parameter periods results in complex dynamic behavior.

关 键 词：Periodic environment density-dependent growth STAGE-STRUCTURE timevarying incubation delay 

分 类 号：R51[医药卫生—内科学]