Dynamical and structural study of a generalized Caputo fractional order Lotka-Volterra model

• DOI: 10.1016/j.rinp.2022.105478
• Publication Date: 2022-04-04T15:57:03Z
• Authors: M. Higazy; Shami A.M. Alsallami; Sayed Abdel-Khalek; A. El-Mesady
• Keywords: 0106 biological sciences; Caputo fractional derivative; Lotka-Volterra model; Physics; QC1-999; Hermitian energy of model graph; Dynamical system graph; Fractional stability; 01 natural sciences

In this study, we generalize the Lotka-Volterra (LV) model. Our generalization is done via two simultaneous techniques. The first technique by incorporating a general term to model immigrations predator or prey populace. second utilize Caputo fractional derivative. This study different five cases. We show impact of changing order proposed response. display that including generalized immigration populace produces stabilization LV in context derivatives all executed addition, present graph and utilizing theory concepts, several hidden features