Qu Leilei, Pan Qiuhui, Gao Xubin, He Mingfeng
School of Mathematical Science, Dalian University of Technology, Dalian 116024, China; School of Science, Dalian Ocean University, Dalian 116023, China.
School of Mathematical Science, Dalian University of Technology, Dalian 116024, China; School of Innovation and Entrepreneurship, Dalian University of Technology, Dalian 116024, China.
Comput Math Methods Med. 2016;2016:1826029. doi: 10.1155/2016/1826029. Epub 2016 Jan 24.
During the past decades, the increase of antibiotic resistance has become a major concern worldwide. The researchers found that superbugs with new type of resistance genes (NDM-1) have two aspects of transmission characteristics; the first is that the antibiotic resistance genes can horizontally transfer among bacteria, and the other is that the superbugs can spread between humans through direct contact. Based on these two transmission mechanisms, we study the dynamics of population in hospital environment where superbugs exist. In this paper, we build three mathematic models to illustrate the dynamics of patients with bacterial resistance in hospital environment. The models are analyzed using stability theory of differential equations. Positive equilibrium points of the system are investigated and their stability analysis is carried out. Moreover, the numerical simulation of the proposed model is also performed which supports the theoretical findings.
在过去几十年里，抗生素耐药性的增加已成为全球主要关注的问题。研究人员发现，携带新型耐药基因（NDM-1）的超级细菌具有两个传播特性方面；一是抗生素耐药基因可在细菌间水平转移，另一个是超级细菌可通过直接接触在人与人之间传播。基于这两种传播机制，我们研究了存在超级细菌的医院环境中的种群动态。在本文中，我们建立了三个数学模型来说明医院环境中细菌耐药患者的动态。使用微分方程稳定性理论对模型进行分析。研究了系统的正平衡点并进行了稳定性分析。此外，还对所提出的模型进行了数值模拟，这支持了理论研究结果。
