A Theoretical Assessment of the Effects of Vector-Virus Transmission Mechanism on Plant Virus Disease Epidemics

• DOI: 10.1094/phyto.2000.90.6.576
• Publication Date: 2007-05-11T11:06:12Z
• Authors: L. V. Madden; M. J. Jeger; F. van den Bosch
• Keywords: Population density

A continuous-time and deterministic model was used to characterize plant virus disease epidemics in relation transmission mechanism population dynamics of the insect vectors. The can be written as a set linked differential equations for healthy (virus-free), latently infected, infectious, removed (postinfectious) categories, virus-free, latent, infective insects, with parameters based on classes, vector dynamics, immigration/emigration rates, virus-plant interactions. rate change diseased plants is function density number visited per time, probability transmitting visit. insects infectious plants, time by an insect, acquiring Numerical solutions were determine transitional steady-state levels incidence (d*); d* also determined directly from parameters. Clear differences found development among four classes: nonpersistently transmitted (stylet-borne [NP]); semipersistently (foregut-borne [SP]); circulative, persistently (CP); propagative, (PP), highest (d) SP CP classes relative others, especially at low when there no migration or status emigrating same that immigrating ones. PP viruses most affected changes longevity, rates acquisition, inoculation vectors, whereas least mobility. When explicitly considered, results depended fraction immigration pool dying vectors replaced immigrants. sensitive these factors. Based parameters, basic reproductive (R 0 )—number new infected resulting, introduced into susceptible population—was derived some circumstances level approximate exponential increase early epidemic. Results evaluate management strategies.