J. Mosquera et Fr. Adler, EVOLUTION OF VIRULENCE - A UNIFIED FRAMEWORK FOR COINFECTION AND SUPERINFECTION, Journal of theoretical biology, 195(3), 1998, pp. 293-313
Models of the evolution of parasite virulence have focused on computin
g the evolutionarily stable level of virulence favored by tradeoffs wi
thin a host and by competition for hosts, and deriving conditions unde
r which strains with different virulence levels can coexist. The resul
ts depend on the type of interaction between disease strains, such as
single infection (immunity of infected individuals to other strains),
coinfection (simultaneous infection by two strains), and superinfectio
n (instantaneous takeover of hosts by the more virulent strain). We pr
esent a coinfection model with two strains and derive the superinfecti
on model as the limit where individuals are rapidly removed from the d
oubly-infected class. When derived in this way, the superinfection mod
el includes not only the takeover of hosts infected by the less virule
nt strain, but new terms which take into account the possibility of in
creased mortality of doubly-infected individuals. Coinfection tends to
favor higher virulence and support more coexistence than the single i
nfection model, but the detailed results depend sensitively on two fac
tors: (1) whether and how the model is near the superinfection limit,
and (2) the shape of the coinfection function (the function describing
the rate at which a more virulent strain can infect a host). If the s
uperinfection limit arises due to rapid mortality of doubly-infected h
osts, there is a region of uninvadable virulence levels rather than co
existence. When the coinfection function is discontinuous, as in many
previous models, neither the coinfection model nor the superinfection
limit can support an evolutionarily stable virulence level. Piecewise
differentiable and differentiable coinfection functions produce qualit
atively different results, and we propose that these more general case
s should be used to study evolution of virulence when other mechanisms
like space, population dynamics, and stochasticity interact. (C) 1998
Academic Press.