一类医院抗生素耐药模型的全局动力学

Global dynamics of a class of antibiotic-resistance model in hospitals

本文研究一类单种细菌在两种抗菌药物作用下的医院抗生素耐药模型.与之前的模型不同,本文假定有部分患者进入医院时已经携带耐药病菌,通过比较患者无重复感染和有重复感染两种情形,发现无重复感染情形动力学行为比较简单,仅有唯一稳定的平衡点,而重复感染情形则出现复杂的双稳现象.

In this paper, we study a class of antibiotic-resistance model with a constant recruitment of the patients carrying the antibiotic-resistant bacteria in hospitals. It is shown that an interesting bistable phenomenon emerges in the model when superinfection is included, while the model without superinfection has only one stable equilibrium.