prey–predator

In this work, we discuss a spatiotemporal discrete prey–predator model.  It consists of three compartments: prey, predator, and super-predator.  The proposed model describes the interaction between prey, predator, and super-predator in a region with a discrete displacement.  We also provide research on appropriate regional control strategies.  The controls are applied to the predator and the super-predator, respectively; they represent catching these in measured quantities in a space and a time chosen.  The aim is to increase the number of prey and reduce the number of

In this paper, we propose and analyze a fractional prey–predator  model with generalized Hattaf fractional (GHF) derivative.  We prove that our proposed model is ecologically and mathematically well-posed.  Furthermore, we show that our model has three equilibrium points.  Finally, we establish the stability of these equilibria.