The dynamics of cocirculating influenza strains conferring partial cross-immunity.
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.
Andreasen
V
V
Department of Mathematics and Physics, Roskilde University, Denmark. viggo@fatou.ruc.dk
Lin
J
J
Levin
S A
SA
D006801:Humans; D009980:Influenza A virus / Q000276:immunology; D007251:Influenza, Human / Q000276:immunology*; D008433:Mathematics; D008962:Models, Theoretical; D009991:Oscillometry; D013045:Species Specificity