作者
Nik J Cunniffe, Christopher A Gilligan
发表日期
2010/3/6
期刊
Journal of the Royal Society Interface
卷号
7
期号
44
页码范围
439-451
出版商
The Royal Society
简介
Many epidemiological models for plant disease include host demography to describe changes in the availability of susceptible tissue for infection. We compare the effects of using two commonly used formulations for host growth, one linear and the other nonlinear, upon the outcomes for invasion, persistence and control of pathogens in a widely used, generic model for botanical epidemics. The criterion for invasion, reflected in the basic reproductive number, R0, is unaffected by host demography: R0 is simply a function of epidemiological parameters alone. When, however, host growth is intrinsically nonlinear, unexpected results arise for persistence and the control of disease. The endemic level of infection (I) also depends upon R0. We show, however, that the sensitivity of I to changes in R0 > 1 depends upon which underlying epidemiological parameter is changed. Increasing R0 by shortening the infectious …
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