Competitive exclusion in gonorrhea models and other sexually transmitted diseases.
A heterosexually active population is exposed to two competing strains or two distinct sexually transmitted pathogens.
It is assumed that a host cannot be invaded simultaneously by both disease agents and that when symptoms appear, a function of the pathogen or strain virulence, individuals recover.
We conclude that in a behaviorally and genetically homogeneous population coexistence is not possible except under very special circumstances.
The mathematical qualitative analysis of our model is complete ; that is, we provide the global stability analysis of the stationary states.
We conclude this manuscript with two extensions.
The first allows for the possibility that a host may face multiple competing strains, while the second looks at the effects on coexistence of the host's age of infection when two strains compete for the same host.
Mots-clés Pascal : Application, Maladie, Risque santé, Dynamique, Equation différentielle, Stabilité asymptotique, Modèle mathématique, Théorie
Mots-clés Pascal anglais : Gonorrhea models, Sexually transmitted diseases, Coexistence, Coevolution, Transmission dynamics, Pathogens, Strain virulence, Application, Diseases, Health risks, Dynamics, Differential equations, Asymptotic stability, Mathematical models, Theory
Notice produite par :
Inist-CNRS - Institut de l'Information Scientifique et Technique
Cote : 96-0206471
Code Inist : 001A02E. Création : 199608.