Mathematical Analysis of the Prey-Predator System with Immigrant Prey Using the Soft Computing Technique

In this paper, a mathematical model for the system of prey-predator with immigrant prey has been analyzed to find an approximate solution population density, local and predator density. Furthermore, we present novel soft computing technique named LeNN-WOA-NM algorithm solving prey. The proposed uses function approximating ability Legendre polynomials based on neural networks (LeNNs), global search whale optimization (WOA), mechanism Nelder–Mead algorithm. is applied study effect variations growth rate, force interaction, catching rate statistical data obtained by establish effectiveness when compared techniques in latest literature. efficiency solutions validated through performance measures including absolute errors, MAD, TIC, ENSE.