Global asymptotic stability in a pseudorabies virus model with age structure  

作　　者：Yining Chen Yuhua Long Jianshe Yu 

机构地区：[1]College of Mathematics and Information Sciences,Center for Applied Mathematics,Guangzhou University,Guangzhou,510006,People's Republic of China

出　　处：《Infectious Disease Modelling》2023年第3期865-880,共16页传染病建模（英文）

基　　金：supported by National Natural Science Foundation of China(12071095,11971127).

摘　　要：Pseudorabies is a highly contagious disease caused by pseudorabies virus(PRV)or suid herpesvirus 1(SuHV1),causing significant economic losses to the swine industry in countries where the disease exists.In this paper,we formulate an age structure model of pseudorabies virus that takes into account disease-related mortality and vertical trans-mission.We find a threshold to determine the stability and existence of the disease.We show that there is always a globally asymptotically stable boundary equilibrium if and only if R_(02)<1+q,which means that the disease always exists in piglets and will die out in adult pigs.When R_(02)>1+q,the boundary equilibrium is unstable and there exists a unique disease-endemic equilibrium,which is globally asymptotically stable.We give detailed proofs of our theoretical results and numerical examples.Brief concluding re-marks are also provided.

关 键 词：Pseudorabies virus model EQUILIBRIUM Global stability Age structure 

分 类 号：R51[医药卫生—内科学]