A mathematical model for estimating the LC50 (or LD50) among an insect life cycle

Document Type : Original Article

Authors

1 Ain Shams University, Faculty of Science, Entomology Department

2 German University in Cairo, Mathematics Department

3 Ain Shams University, Faculty of Science, Chamistry Department

Abstract

In this study, 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. The trend of change of the LC50 or LD50 is observed among the insect life cycle for each group of insecticides. It is shown that for an insecticide group, there is a clear trend for the change of the LC50 (or LD50) when going from an age stage to another. That trend is simulated for each group to predict the LC50 or LD50 at an age stage by knowing it at another stage and method of treatment used.

Keywords