4. INVESTIGATION OF THE SOLUTION OF THE INTEGRO-DIFFERENTIAL PROBLEM OF PLANT PROTECTION BY NUMERICAL METHOD AND AN ALGORITHM FOR DETERMINING UNKNOWN PARAMETERS
Author: R.N. ODINAEV DOWNLOAD
DOI:
Abstract
The article describes the study of solving the integro-differential problem of plant protection from pests using a numerical method and an algorithm for determining unknown parameters. In the work, a mathematical model of a biological system was developed, including a description of the interaction of biological species with arbitrary trophic functions. The article discusses the issues of difference approximation of the plant protection problem and the convergence of the solution of the corresponding difference approximating problem to the solution of the initial differential plant protection problem. In the numerical solution of the problem of plant protection, many parameters are not always determined using field experiments. Based on this, an appropriate algorithm has been developed to determine unknown parameters, which is based on the least squares method.
Keywords
computed method, difference approximation, differential equations,grid function, trophic function, model biosystem.