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Population Dynamics of Patients with Bacterial Resistance in Hospital Environment


Affiliations
1 School of Mathematical Science, Dalian University of Technology, Dalian 116024, China
2 City Institute, Dalian University of Technology, Dalian 116024, China
 

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.
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  • Population Dynamics of Patients with Bacterial Resistance in Hospital Environment

Abstract Views: 104  |  PDF Views: 1

Authors

Leilei Qu
School of Mathematical Science, Dalian University of Technology, Dalian 116024, China
Qiuhui Pan
School of Mathematical Science, Dalian University of Technology, Dalian 116024, China
Xubin Gao
City Institute, Dalian University of Technology, Dalian 116024, China
Mingfeng He
School of Mathematical Science, Dalian University of Technology, Dalian 116024, China

Abstract


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.