潘秋惠

个人信息Personal Information

副教授

博士生导师

硕士生导师

性别:女

毕业院校:大连理工大学

学位:博士

所在单位:创新创业学院

学科:应用数学

办公地点:创新创业学院602

联系方式:84707445-6602

电子邮箱:qhpan@dlut.edu.cn

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Transmission Dynamics of Resistant Bacteria in a Predator-Prey System

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论文类型:期刊论文

发表时间:2015-07-01

发表刊物:COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE

收录刊物:SCIE、PubMed、Scopus

卷号:2015

页面范围:638074

ISSN号:1748-670X

摘要:This paper discusses the impact on human health caused by the addition of antibiotics in the feed of food animals. We use the established transmission rule of resistant bacteria and combine it with a predator-prey system to determine a differential equations model. The equations have three steady equilibrium points corresponding to three population dynamics states under the influence of resistant bacteria. In order to quantitatively analyze the stability of the equilibrium points, we focused on the basic reproduction numbers. Then, both the local and global stability of the equilibrium points were quantitatively analyzed by using essential mathematical methods. Numerical results are provided to relate our model properties to some interesting biological cases. Finally, we discuss the effect of the two main parameters of the model, the proportion of antibiotics added to feed and the predation rate, and estimate the human health impacts related to the amount of feed antibiotics used. We further propose an approach for the prevention of the large-scale spread of resistant bacteria and illustrate the necessity of controlling the amount of in-feed antibiotics used.