Pinsky P, Shonkwiler R
School of Mathematics, Georgia Institute of Technology, Atlanta 30332.
Math Biosci. 1990 Feb;98(1):103-26. doi: 10.1016/0025-5564(90)90013-o.
In recent years gonorrhea infection with antibiotic-resistant strains, especially PPNG, has become a significant public health problem. Drawing on the gonorrhea model of Lajmanovich and Yorke, a multigroup model that embraces both resistant and sensitive strains of the organism is introduced. It is shown that, like the Lajmanovich and Yorke (single-strain) model, in the general case the sensitive-resistant model has a unique globally asymptotic equilibrium. As a function of the interplay between contact rates, cure rates, and reversion rates, the equilibrium can lead to endemic infection with sensitive infection only, resistant infection only, or both, or to elimination of sensitive and resistant infection.
近年来，感染抗生素耐药菌株（尤其是耐青霉素淋球菌）的淋病已成为一个重大的公共卫生问题。借鉴拉伊马诺维奇和约克的淋病模型，引入了一个同时包含该病原体耐药菌株和敏感菌株的多群体模型。结果表明，与拉伊马诺维奇和约克（单菌株）模型一样，一般情况下，敏感-耐药模型有唯一的全局渐近平衡。作为接触率、治愈率和回复率之间相互作用的函数，该平衡可能导致仅敏感感染的地方性感染、仅耐药感染的地方性感染、或两者皆有的地方性感染，或导致敏感和耐药感染的消除。
