中北大学学报（自然科学版）2017，Vol.38Issue(2)：103-109,7.DOI:10.3969/j.issn.1673-3193.2017.02.002
考虑感染期的院内抗生素耐药菌传播模型及其稳定性分析
An Antibiotic Resistance Epidemic Model with the Time Delay and the Stability Analysis of the Model
摘要
Abstract
In view of the influence of nosocomial infection on antibiotic resistant bacteria spread,combined with the characteristics of nosocomial infection and considering the direct communication between doctors and patients and the indirect spread of antibiotic resistant bacteria among patients,a type of infectious disease model with infection delay was set up.Anantibiotic resistance model in hospitals with delay was investigated.The probability of infected-patients was still in the hospital after the moment of τ has been considered.A basic reproduction number which determines the outbreak of infectious disease was found.Through using Routh-Hurwitz criterion and Lasalle-Liapunov invariant set principle obtained that if R0＜1 the disease-free equilibrium was locally and globally asymptotically stable for any τ≠0;if R0＞1,the endemic equilibriums of the model was exist and unique,it was locally and globally asymptotically stable for any τ≠0.The time delay τ has no effect on the stability of the equilibria.Finally,a series of numerical simulations are presented to illustrate the mathematical findings.关键词
时滞模型/抗生素耐药性/医媒/感染期Key words
delay model/antibiotic resistance/medium of health care workers/time of infection分类
数理科学引用本文复制引用
冯丹丹,薛亚奎..考虑感染期的院内抗生素耐药菌传播模型及其稳定性分析[J].中北大学学报（自然科学版）,2017,38(2):103-109,7.基金项目
国家自然科学基金资助项目(11301491) （11301491）
山西省自然科学基金资助项目(2015011009) （2015011009）
