Coexistence of pathogens in sexually-transmitted disease models.
We present a sexually-transmitted disease (STD) model for two strains of pathogen in a one-sex, heterogeneously-mixing population, where the dynamics are of SIS (susceptible/infected/susceptible) type, and there are two different groups of individuals. We analyze all equilibria for the case where contacts are modeled via proportionate (random) mixing. We find that both strains may under suitable circumstances coexist, and that it is the heterogeneous mixing that creates "refuges" for each strain as each population group favors one particular strain.
Li
Jia
J
Department of Mathematical Sciences, University of Alabama in Huntsville, Huntsville, AL 35899, USA. li@math.uah.edu
Ma
Zhien
Z
Blythe
Steve P
SP
Castillo-Chavez
Carlos
C
D000818:Animals; D017848:Blood-Borne Pathogens; D006716:Homosexuality; D006790:Host-Parasite Interactions; D006801:Humans; D008954:Models, Biological; D009716:Numerical Analysis, Computer-Assisted; D011157:Population Dynamics; D012749:Sexually Transmitted Diseases / Q000382:microbiology* / Q000635:transmission*; D014774:Virulence