Exploring chaos and bifurcation in a discrete prey-predator based on coupled logistic map.

This research paper investigates discrete predator-prey dynamics with two logistic maps. The study extensively examines various aspects of the system's behavior. Firstly, it thoroughly investigates the existence and stability of fixed points within the system.

Qualitative analysis and phase of chaos control of the predator-prey model with Holling type-III.

In this study, we investigate the dynamics of a discrete-time with predator-prey system with a Holling-III type functional response model. The center manifold theorem and bifurcation theory are used to create existence conditions for flip bifurcations and Neimark-Sacker bifurcations. Bifurcation diagrams, maximum Lyapunov exponents, and phase portraits are examples of numerical simulations that not only show the soundness of theoretical analysis but also show complicated dynamical behaviors and biological processes.