Fractality in a delayed-prey-predator ecological system with Allee effects
Populations and Evolution
2021-07-27 v1 Dynamical Systems
Abstract
A delayed, discrete-time, prey-predator model with Allee effects imposed on prey and predator populations is defined, and dynamics of the system is characterized computationally. The parametric conditions for local asymptotic stability of equilibria are investigated with several illustrating examples. In addition, several periodic solutions were achieved. Furthermore, high degree of fractality of the prey-predator population trajectories is observed when the system is sufficiently delayed. This system has turned out to be a cooperative system, which is depicted using fractal dimension.
Cite
@article{arxiv.2107.12300,
title = {Fractality in a delayed-prey-predator ecological system with Allee effects},
author = {Sujay Goldar and Sk. Sarif Hassan},
journal= {arXiv preprint arXiv:2107.12300},
year = {2021}
}