Antigenic distance and cross-immunity, invasibility and coexistence of pathogen strains in an epidemiological model with discrete antigenic space

Reference:

Adams, B. and Sasaki, A., 2009. Antigenic distance and cross-immunity, invasibility and coexistence of pathogen strains in an epidemiological model with discrete antigenic space. Theoretical Population Biology, 76 (3), pp. 157-167.

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Official URL:

http://dx.doi.org/10.1016/j.tpb.2009.06.001

Abstract

In models of pathogen interaction and evolution discrete genotypes in the form of bit strings may be mapped to points in a discrete phenotype space based on similarity in antigenic structure. Cross-immunity between strains. that is the reduction in Susceptibility to strain A conferred to a host by infection with strain B, call then be defined for pairs of points in the antigenic space by a specified function Analysis of an SIR type model shows that, if two strains are at equilibrium, the shape of the cross-immunity function has a strong influence on the invasion and coexistence of a third strain and, consequently, the expected evolutionary pathway. A function that is constant except for discontinuities at the end points is expected to result in the accumulation of diversity until a pair of discordant strains occurs that call, depending on parameter values, exclude all other strains. For a function of the form f (h) = h(q), where h is the antigenic distance between two strains, invasion and coexistence is always possible if q

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