Baleanu, DumitruKhater, Mostafa M. A.Almohsen, BandarBaleanu, Dumitru2022-08-262022-08-262020Khater, Mostafa M. A.; Almohsen, Bandar; Baleanu, Dumitru (2020). "Numerical simulations for the predator–prey model as a prototype of an excitable system", Numerical Methods for Partial Differential Equations.0749-159Xhttps://hdl.handle.net/20.500.12416/5777This research paper investigates the numerical solutions of the predator–prey model through five recent numerical schemes (Adomian decomposition, El Kalla, cubic B-spline, extended cubic B-spline, exponential cubic B-spline). We investigate the obtained computational solutions via the modified Khater methods. This model is considered as a well-known bimathematical model to describe the prototype of an excitable system. The obtained solitary solutions emerge the localized wave packet as a persistent and dominant feature. The accuracy of the obtained numerical solutions is investigated by calculating the absolute error between the exact and numerical solutions. Many sketches are given to illustrate the matching between the exact and numerical solutions.eninfo:eu-repo/semantics/closedAccessComputational and Numerical SimulationsExcitable SystemNonlinear Predator–Prey SystemNumerical simulations for the predator–prey model as a prototype of an excitable systemNumerical Simulations for the Predator–prey Model as a Prototype of an Excitable SystemArticle10.1002/num.22708