title: The dynamics of cocirculating influenza strains conferring partial cross-immunity.
abstract: We develop a model that describes the dynamics of a finite number of strains that confer partial cross-protection among strains. The immunity structure of the host population is captured by an index-set notation where the index specifies the set of strains to which the host has been exposed. This notation allows us to derive threshold conditions for the invasion of a new strain and to show the existence of an endemic multi-strain equilibrium in a special case. The dynamics of systems consisting of more than two strains can exhibit sustained oscillations caused by an overshoot in the immunity to a specific strain of cross-protection is sufficiently strong.
authors.affiliation: Department of Mathematics and Physics, Roskilde University, Denmark. viggo@fatou.ruc.dk
authors.forename: V
authors.initials: V
authors.lastname: Andreasen
authors.forename: J
authors.initials: J
authors.lastname: Lin
authors.forename: S A
authors.initials: SA
authors.lastname: Levin
mesh_terms: D006801:Humans; D009980:Influenza A virus / Q000276:immunology; D007251:Influenza, Human / Q000276:immunology*; D008433:Mathematics; D008962:Models, Theoretical; D009991:Oscillometry; D013045:Species Specificity