USE OF MATHEMATICAL MODELS TO ESTIMATE SOME CHARACTERISTICS OF INSECTICIDE GROUPS

Abstract

In this study, firstly, a mathematical model is made to estimate the median lethal concentration or dose (LC50 or LD50). The model is based on the data of different insecticide groups, where each one is represented by the effect of three insecticides over different orders of insects by using different application technique. It was observed that there is a clear trend for the change of the LC50 (or LD50) when going from an age stage to another. That trend is simulation for prediction of the LC50 or LD50 at an age stage by knowing it at another stage and method of treatment used. Secondly, Ct and DT50 values are deduced from this mathematical model to provide a numerical indication of pesticide persistence in soil. Also, we used the constant degradation rate (K) to compare the responses of insecticides to biotic and a biotic factors. Finally, we studied some previous models to know the relation between chemical structure of insecticides and their toxicities to insects. We make hypothetical studies to the effect of chemical structural changes and the effect on the toxicity.