Invasion thresholds for fungicide resistance: deterministic and stochastic analyses

Extinction thresholds in deterministic and stochastic epidemic models.

The basic reproduction number, ℛ(0), one of the most well-known thresholds in deterministic epidemic theory, predicts a disease outbreak if ℛ(0)>1. In stochastic epidemic theory, there are also thresholds that predict a major outbreak. In the case of a single infectious group, if ℛ(0)>1 and i infectious individuals are introduced into a susceptible population, then the probability of a major ou...

Resistance to Phosphite Fungicide

There are a number of turf fungicides the activity of which is based on the phosphite (=phosphonate) ion (P03-). Chipco Signature fungicide (active ingredient fosetyl-Al) is the most common, and has become a "keystone" product for disease control programs on many golf courses across the country. This is in part because of the general enhancement in quality on stressed turfgrass that has been re...

Understanding Fungicide Resistance

A Benders\' Decomposition Based Solution Method for Solving User Equilibrium Problem: Deterministic and Stochastic Cases

The traffic assignment problem is one of the most important problems for analyzing and optimizing the transportation network to find optimal flows. This study presented a new formulation based on a generalized Benders' decomposition approach to solve its important part, i.e. user equilibrium problems, in deterministic and stochastic cases. The new approach decomposed the problem into a master p...

Fungicide Resistance Management

Fungicides are important tools for managing diseases in many crops. Unlike insecticides and some herbicides which kill established insects or weeds, fungicides are most commonly applied to protect healthy plants from infection. To be effective, fungicides must be applied before infections become established and in a sufficient spray volume to achieve thorough coverage of the plant or treated ar...