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具有两羊群间运输的布鲁氏菌病模型分析

张轶菲 薛亚奎

山西大学学报(自然科学版)2025,Vol.48Issue(2):341-357,17.
山西大学学报(自然科学版)2025,Vol.48Issue(2):341-357,17.DOI:10.13451/j.sxu.ns.2024081

具有两羊群间运输的布鲁氏菌病模型分析

Analysis of a Brucellosis Model with Transportation Between Two Flocks

张轶菲 1薛亚奎1

作者信息

  • 1. 中北大学 数学学院,山西 太原 030051
  • 折叠

摘要

Abstract

This paper proposes a multi-group susceptible-exposed-infected-vaccinated(SEIVW)dynamic model with transportation between two flocks considering environmental factors,in order to propose a multi-group SEIVW dynamical model with two flocks'transport.Firstly,the basic reproduction number R0 is obtained,and the global dynamics are completely determined by R0.When R0<1,the disease-free equilibrium is globally asymptotically stable;when R0>1,there is a unique local equilibrium that is globally as-ymptotically stable.The sensitivity analysis of the parameters of the basic reproduction number is carried out and confirmed that timely removal of the bodies of infected sheep and increasing vaccine coverage were effective control strategies for sheep brucello-sis.In addition,reasonably reducing the transportation between flocks and achieving self-sufficiency of flocks is another effective control strategy for controlling brucellosis.

关键词

布鲁氏菌病/基本再生数/全局动力学/防控措施

Key words

brucellosis/the basic reproduction number/global dynamics/prevention and control strategy

分类

数理科学

引用本文复制引用

张轶菲,薛亚奎..具有两羊群间运输的布鲁氏菌病模型分析[J].山西大学学报(自然科学版),2025,48(2):341-357,17.

基金项目

国家自然科学基金(11971278) (11971278)

山西省自然科学基金(202203021211086) (202203021211086)

山西大学学报(自然科学版)

OA北大核心

0253-2395

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