Title of article :
Dynamical analysis, stability and discretization of fractional-order predator-prey model with negative feedback on two species
Author/Authors :
Vahidi, Alireza Dep. of Applied Mathematics - Yadegar-e-Imam Khomeini (RAH) - Islamic Azad University, Tehran , Babolian, Esmail Faculty of Mathematical Sciences and Computer - Kharazmi University, Tehran , Biranvand, Nader Dep. of Applied Mathematics - Yadegar-e-Imam Khomeini (RAH) - Islamic Azad University, Tehran
Abstract :
The Lotka-Volterra model is an important model being employed in biological phenomena to investigate the nonlinear interaction among existing species. In this work, we first consider an integer order predator-prey model with negative feedback on both prey and predator. Then by introducing a fractional model into the existing one, we give them a specified memory. We also obtain its discretized counterpart. Finally, along with giving the biological interpretation of the system, the stability and dynamical analysis of the proposed model are investigated and the results are illustrated as well.
Keywords :
Fractional Calculus , Predator-prey , Lotka-Volterra , Stability Discretization
Journal title :
International Journal of Nonlinear Analysis and Applications
