Mm. Tanaka et Mw. Feldman, Theoretical considerations of cross-immunity, recombination and the evolution of new parasitic strains, J THEOR BIO, 198(2), 1999, pp. 145-163
We explore the dynamics of multiple strains of a parasite in order to asses
s the conditions under which a novel strain, perhaps a mutant or migrant, m
ay invade a population that already carries an endemic strain. Multiple str
ain dynamics can be modeled through coinfection, superinfection or complete
cross-immunity. We examine these three modes to discuss the relationships
among cross-immunity, the basic reproductive rates of each strain, and the
invasion of the new strain. Superinfection is more restrictive than coinfec
tion in the proportion of parameters that allows invasion. The coinfection
model is extended to allow haploid strains to undergo recombination within
the host. We investigate the effects of recombination and cross-immunity on
the invasion of new strains. Interestingly, although recombination is unde
rstood to generate diversity, it is not always advantageous. (C) 1999 Acade
mic Press.