Rg. Bowers et al., LIFE-HISTORY TRADE-OFFS AND THE EVOLUTION OF PATHOGEN RESISTANCE - COMPETITION BETWEEN HOST STRAINS, Proceedings - Royal Society. Biological Sciences, 257(1350), 1994, pp. 247-253
The dynamics of a 'resistant' and a 'susceptible' strain of a self-reg
ulated host species, in the presence of a directly transmitted pathoge
n, is investigated. The two strains trade off differences in pathogen
transmissibility (as an aspect of pathogen resistance) against differe
nces in birth rate and/or resistance to crowding. Depending on paramet
er values, either strain may be eliminated, or the two may coexist (al
ong with the pathogen). Coexistence (polymorphism), unsurprisingly, re
quires an appropriate balance between the different advantages possess
ed by the two strains. The probability of coexistence through such a b
alance, however, varies nonlinearly with the degree of difference betw
een the strains: coexistence is least likely between two very similar
strains. Resistance is most likely to evolve in hosts with the charact
eristics of many insect pests. Moreover, with highly pathogenic pathog
ens, a 'susceptible' strain may exclude a 'resistant' strain because i
ts higher growth rate is more effective against the pathogen than redu
ced transmissibility. 'Resistance' can reside in parameters other than
those directly associated with the pathogen. Although no cycles arise
and no chaotic behaviour is found, an oscillatory approach to equilib
rium is commonly observed, signalling the possibility of observable os
cillations in strain frequency in the (more variable) real world.