Özet:
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.
