Jiang Jifa, Chai Caichun
Department of Mathematics, Tongji University, Shanghai 200092, People's Republic of China.
J Math Biol. 2008 Mar;56(3):373-90. doi: 10.1007/s00285-007-0119-1. Epub 2007 Sep 12.
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.
