Spatially extended host-parasite interactions: the role of recovery and immunity.
Techniques for determining the long-term dynamics of host-parasite systems are well established for mixed populations. The field of spatial modelling in ecology is more recent but a number of key advances have been made. In this paper, we use state-of-the-art approximation techniques, supported by simulations, in order to investigate the role of recovery and immunity in spatially structured populations. Our approach is to use correlation models, namely pair-wise models, to capture the spatial relationships of contacts and interactions between individuals. We use the pair-wise framework to address a number of key ecological questions; including, the persistence of endemic limit cycles and regions of parasite-driven extinction--features which differentiate spatial from non-spatial models--and the effects on invasion fitness. We demonstrate a loss of limit cycle behaviour, in addition to an increase in the critical transmissibility and extinction thresholds, when recovery is included. This approach allows for a better analytical understanding of the dynamics of host-parasite interactions and demonstrates the importance of recovery and immunity in local interactions.
Webb
Steven D
SD
Department of Animal and Plant Sciences, University of Sheffield, Western Bank, Sheffield, S10 2TN, UK.
Keeling
Matt J
MJ
Boots
Mike
M
D000818:Animals; D003198:Computer Simulation; D004463:Ecology; D006790:Host-Parasite Interactions; D006801:Humans; D007109:Immunity; D008433:Mathematics; D008954:Models, Biological; D015233:Models, Statistical; D009010:Monte Carlo Method; D010271:Parasites; D011157:Population Dynamics