Abstract
•We display that including a generalized immigration to the predator or prey populace produces stabilization of the LV model in context of Caputo fractional derivatives.•The proposed LV version is provided under the use of the history dependent Caputo fractional derivatives and the non-linear changes are tested.•The impact of history depth (fractional order) to the paradigm dynamics is displayed.•The impact of the inclusion of non-linear interplay period to the steadiness of the LV model is displayed.•The structure of the generalized model is studied through a graph theory concepts.
In this study, we generalize the Lotka-Volterra (LV) model. Our generalization is done via two simultaneous techniques. The first technique is done by incorporating a general term to model the immigrations to the predator or prey populace. The second technique is to utilize the Caputo fractional derivative. This study is done via different five cases. We show the impact of changing the fractional order to the proposed model response. We display that including a generalized immigration to the predator or prey populace produces stabilization of the LV model in context of Caputo fractional derivatives in all executed cases. In addition, we present the generalized model via graph and utilizing the graph theory concepts, we display several hidden features of the model.