Use of ROOT to build a software optimized for parameter estimation and simulations with Distributed Delay Model

Abstract

ROOT is a software package developed by a CERN project started in 1994 by René Brun for statistical analysis in high-energy physics. This software package can also be used in the field of protecting plants against pest insects. Indeed, for a long time there has been a significant use of the Distributed-Delay Model, but there is no specific software available to date that is useful for following the research from the first step to simulations and field validations. This work, through ROOT's libraries, builds a series of macros that consent to do non-linear fits with functions such as Erlang PDF, linear-rate, Logan, Briére, Sharpe and De Michele, thereby giving support to the parameters-estimate step in laboratory sessions and then numerically solving the Distributed-Delay Model equations. This study supplies results both graphically and numerically.