Global optimisation in Hilbert spaces using the survival of the fittest algorithm

•We present a bio-inspired global optimisation method, applicable in Hilbert spaces.•The method is based on eco-evolutionary mechanism of survival of the fittest.•The method allows a proof of convergence for generic functionals.•The method is applied to the problem of diel vertical migration of zooplankton.•The method shows better performance as compared to other bio-inspired techniques.