The complete classification for dynamics in a homosexually-transmitted disease model.
A sexually-transmitted disease model for two strains of pathogen in a one-sex, heterogeneously-mixing population was proposed by Li et al. in (J Math Biol 10:1037-1052, 1986). The sufficient and necessary conditions for coexistence and the sufficient conditions for stability of the boundary equilibria were provided. This paper will present a thorough classification of dynamics for this model in terms of the first and second so called reproductive numbers of infection in strains I and J. This classification not only solves a conjecture proposed in (Li et al., J Math Biol 10:1037-1052, 1986) but also gives the sufficient and necessary conditions for the competitive exclusion.
Jiang
Jifa
J
Department of Mathematics, Tongji University, Shanghai 200092, People's Republic of China. jiangjf@mail.tongji.edu.cn
Chai
Caichun
C
D000465:Algorithms; D006716:Homosexuality; D006801:Humans; D008954:Models, Biological; D012749:Sexually Transmitted Diseases / Q000453:epidemiology* / Q000382:microbiology / Q000635:transmission*