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作者：Durrett, Rick; Neuhauser, Claudia
作者单位：Cornell University; University of Minnesota System; University of Minnesota Twin Cities; University of Wisconsin System; University of Wisconsin Madison
摘要：Barley yellow dwarf is a widespread disease that affects small grains and many grass species, as well as wheat, barley and oat. The disease is caused by an aphid transmitted virus. Rochow conducted a study near Ithaca, New York, which showed that a shift in the dominant strain occurred between 1957 and 1976. Motivated by this phenomenon, we develop a model for the competition between different strains of the barley yellow dwarf virus. Our main goal is to understand the phase diagram of the mod...
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作者：Ball, Frank; Mollison, Denis; Scalia-Tomba, Gianpaolo
作者单位：University of Nottingham; Heriot Watt University; Sapienza University Rome
摘要：We consider epidemics with removal (SIR epidemics) in populations that mix at two levels: global and local. We develop a general modelling framework for such processes, which allows us to analyze the conditions under which a large outbreak is possible, the size of such outbreaks when they can occur and the implications for vaccination strategies, in each case comparing our results with the simpler homogeneous mixing case. More precisely, we consider models in which each infectious individual i...
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作者：Schinazi, Rinaldo B.
作者单位：University of Colorado System; University of Colorado at Colorado Springs
摘要：We consider two interacting particle systems on Z(d) to model predator- prey and host-parasite interactions. In both models we have two types of particles (1 and 2) and each site in Z(d) can be in one of four states: empty, occupied by a type 1 particle, occupied by a type 2 particle or occupied by two particles (one of each type). Each type gives birth to particles of the same type on nearest neighbor sites. The interaction between the two types of particles occurs only when a site is occupie...
