Plant protection problems are simulated by a system of ordinary differentia
l equations with given initial conditions. The sensitivity and resistance o
f pathogen subpopulations to fungicide mixtures, fungicide weathering, plan
t growth, etc. are taken into consideration. The system of equations is sol
ved numerically for each set of initial conditions and parameters of the di
sease and fungicide applications. Optimization algorithms were investigated
and a computer program was developed for optimization of these solutions.
14 typical cases of the disease were simulated and optimized in order to de
termine optimal fungicide treatments. The optimized strategy for fungicide
application differs considerably from the commonly used method and seems to
be an important new principle in plant protection. The approach developed
in this study may be useful for a wide spectrum of purposes in the simulati
on of leaf diseases. It may also help the biologist to decrease or pinpoint
experimental work and analyze its results and is perspective for plant dis
ease control.