Application of genetic algorithm with multi-parent crossover on an inverse problem in delay differential equations

We propose an approach in solving a parameter estimation problem in delay differential equations (DDE). By taking the interpolation of the data set, the problem is posed as a minimization problem using the L2–norm. We use a heuristic algorithm called Genetic Algorithm with multi-parent crossover to numerically solve the optimization problem. We consider four DDE models of biological systems with discrete and continuous delay to test our method.