title: Transmission dynamics of resistant bacteria in a predator-prey system.
abstract: 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.
authors.affiliation: School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China ; City institute, Dalian University of Technology, Dalian 116600, China.
authors.forename: Xubin
authors.initials: X
authors.lastname: Gao
authors.affiliation: School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China ; School of Innovation Experiment, Dalian University of Technology, Dalian 116024, China.
authors.forename: Qiuhui
authors.initials: Q
authors.lastname: Pan
authors.affiliation: School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China.
authors.forename: Mingfeng
authors.identifier: 0000-0003-4484-5315
authors.initials: M
authors.lastname: He
mesh_terms: D000465:Algorithms; D000821:Animal Feed; D000818:Animals; D000900:Anti-Bacterial Agents / Q000737:chemistry*; D001424:Bacterial Infections / Q000635:transmission*; D003198:Computer Simulation; D024881:Drug Resistance, Bacterial; D020387:Food Chain; D005516:Food Microbiology; D059022:Food Safety; D006801:Humans; D008460:Meat; D008962:Models, Theoretical; D011157:Population Dynamics; D011235:Predatory Behavior
chemical_list: D000900:Anti-Bacterial Agents
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