A NEW NUMERICAL SCHEME APPLIED ON RE-VISITED NONLINEAR MODEL OF PREDATOR-PREY BASED ON DERIVATIVE WITH NON-LOCAL AND NON-SINGULAR KERNEL
Ilknur, Alkahtani, Badr Saad T.; Koca, . 2020
A new concept of dynamical system of predator-prey model is presented in this paper. The model takes into account the memory of interaction between the prey and predator due to the inclusion of fractional differentiation. In addition, the model takes into account the inherent disposition of a prey or predator toward hunting or defending in time. Analysis of existence and uniqueness of the solutions is presented. A numerical method is used to generate some simulations as the fractional orders change from one to zero. A new traveling waves patterns are obtained.
Very recently, a new numerical scheme was introduced. The numerical scheme was developed using the Newton polynomial, as it is known to be more accurate than the Lagrange polynomial that was used…
Based on the Newton polynomial which is accurate than the Lagrange polynomial, a new numerical scheme was introduced very recently by Atangana and Seda. Their method consisted in reverting a…
A new concept of dynamical system of predator-prey model is presented in this paper. The model takes into account the memory of interaction between the prey and predator due to the inclusion of…