title: Population Dynamics of Patients with Bacterial Resistance in Hospital Environment.
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.
authors.affiliation: School of Mathematical Science, Dalian University of Technology, Dalian 116024, China; School of Science, Dalian Ocean University, Dalian 116023, China.
authors.forename: Leilei
authors.initials: L
authors.lastname: Qu
authors.affiliation: School of Mathematical Science, Dalian University of Technology, Dalian 116024, China; School of Innovation and Entrepreneurship, Dalian University of Technology, Dalian 116024, China.
authors.forename: Qiuhui
authors.initials: Q
authors.lastname: Pan
authors.affiliation: City Institute, Dalian University of Technology, Dalian 116024, China.
authors.forename: Xubin
authors.initials: X
authors.lastname: Gao
authors.affiliation: School of Mathematical Science, Dalian University of Technology, Dalian 116024, China.
authors.forename: Mingfeng
authors.initials: M
authors.lastname: He
mesh_terms: D000465:Algorithms; D000900:Anti-Bacterial Agents / Q000627:therapeutic use*; D001424:Bacterial Infections / Q000188:drug therapy / Q000382:microbiology*; D050936:Basic Reproduction Number; D003198:Computer Simulation; D024881:Drug Resistance, Bacterial; D006761:Hospitals; D006801:Humans; D015233:Models, Statistical; D011157:Population Dynamics
chemical_list: D000900:Anti-Bacterial Agents