A gonorrhea model treating sensitive and resistant strains in a multigroup population

Pinsky, Paul F.; Shonkwiler, Ronald W.

doi:10.1016/0025-5564(90)90013-o

Cited by 8 publications

(5 citation statements)

References 9 publications

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“…For Model 1, we arrive at a standard deterministic compartmental epidemic model of SIS (susceptible-infective-susceptible) type [28] similar to previous models (e.g. [29], [15]), described by first order autonomous ordinary differential equations. A similar five-equation system describes the population for Model 2.…”

Section: Methodsmentioning

confidence: 99%

When Does Overuse of Antibiotics Become a Tragedy of the Commons?

et al. 2012

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BackgroundOver-prescribing of antibiotics is considered to result in increased morbidity and mortality from drug-resistant organisms. A resulting common wisdom is that it would be better for society if physicians would restrain their prescription of antibiotics. In this view, self-interest and societal interest are at odds, making antibiotic use a classic “tragedy of the commons”.Methods and FindingsWe developed two mathematical models of transmission of antibiotic resistance, featuring de novo development of resistance and transmission of resistant organisms. We analyzed the decision to prescribe antibiotics as a mathematical game, by analyzing individual incentives and community outcomes.ConclusionsA conflict of interest may indeed result, though not in all cases. Increased use of antibiotics by individuals benefits society under certain circumstances, despite the amplification of drug-resistant strains or organisms. In situations where increased use of antibiotics leads to less favorable outcomes for society, antibiotics may be harmful for the individual as well. For other scenarios, where a conflict between self-interest and society exists, restricting antibody use would benefit society. Thus, a case-by-case assessment of appropriate use of antibiotics may be warranted.

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Section: Methodsmentioning

confidence: 99%

When Does Overuse of Antibiotics Become a Tragedy of the Commons?

et al. 2012

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“…A number of studies employing a range of model structures have investigated the dynamics of emergence and spread of AMR [24], some of which specifically focused on gonorrhoea [25,26]. However these studies generally assumed de novo development of resistance (e.g.…”

Section: Discussionmentioning

confidence: 99%

001.6 Exploring the benefits of molecular testing for gonorrhoea antibiotic resistance surveillance in remote settings

Hui¹,

Ryder²,

Su³

et al. 2015

Sex Transm Infect

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“…Proof (See Reference Pinsky and Shonkwiler [10]). Now if we take E = {(y; q) | 06y6N; 06q6(2v= )}; then E is a compact subset of R 2 and is positively invariant for system (1) and (2).…”

Section: Simple Host-vector Modelmentioning

confidence: 98%

Mathematical modelling of drug resistant malaria parasites and vector populations

Aneke

2002

Math Methods in App Sciences

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SUMMARYIn this paper, we describe the phenomenon of drug resistant malaria infection in a hyperendemic region by a system of ordinary di erential equations models. Di erent situations on both vectors and humans are described. The ÿrst presentations deal with single population each for both humans and vectors (with the human population ÿxed). These models are without resistant strains. The second group of models deal with both resistant and sensitive strains. Our focus in analysing the models is on establishing a unique positive asymptotic equilibrium for each of them. It is shown that (under suitable conditions in most cases) the equilibrium points are (locally) asymptotically stable. The biological signiÿcance of each of these points emerges as a by-product.

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A gonorrhea model treating sensitive and resistant strains in a multigroup population

Cited by 8 publications

References 9 publications

When Does Overuse of Antibiotics Become a Tragedy of the Commons?

When Does Overuse of Antibiotics Become a Tragedy of the Commons?

001.6 Exploring the benefits of molecular testing for gonorrhoea antibiotic resistance surveillance in remote settings

Mathematical modelling of drug resistant malaria parasites and vector populations

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