Bifurcations and chaos control in a discrete-time prey–predator model with Holling type-II functional response and prey refuge

A Singh, VS Sharma - Journal of Computational and Applied Mathematics, 2023 - Elsevier
In this paper, we study the complex dynamical behavior in a discrete prey–predator model
with Holling type II functional response with prey refuge. It is exhibited that the system shows …

Codimension-one and-two bifurcation analysis of a discrete-time prey-predator model

VS Sharma, A Singh, A Elsonbaty… - International Journal of …, 2023 - Springer
This paper investigates bifurcations analysis and resonances in a discrete-time prey-
predator model analytically and numerically as well. The local stability conditions of all the …

Exploring resilience, chaos, and bifurcations in a discrete food web model incorporating the mate finding Allee effect

B Mondal, A Sarkar, N Sk, SS Santra… - The European Physical …, 2023 - Springer
In this paper, we present a comprehensive investigation of a discrete food web model
enriched with mate finding Allee effects and hunting cooperation. Our study encompasses …

Codimension-2 bifurcation in a discrete predator–prey system with constant yield predator harvesting

A Singh, VS Sharma - International Journal of Biomathematics, 2023 - World Scientific
This work investigates the bifurcation analysis in a discrete-time Leslie–Gower predator–
prey model with constant yield predator harvesting. The stability analysis for the fixed points …

Turing‐Turing and Turing‐Hopf bifurcations in a general diffusive Brusselator model

M Chen, R Wu, B Liu, L Chen - ZAMM‐Journal of Applied …, 2023 - Wiley Online Library
A general reaction‐diffusion Brusselator model subject to homogeneous Neumann
boundary conditions is investigated in this paper. First, the stability of the unique positive …

Chaotic Dynamics and Control of a Discrete‐Time Chen System

SMS Rana, MJ Uddin, PK Santra… - Mathematical …, 2023 - Wiley Online Library
We investigate a discrete‐time Chen system. First, we give the topological classifications of
the fixed points of this system. Then, we analytically show that the discrete Chen system …

Bifurcation results and chaos in a two-dimensional predator-prey model incorporating Holling-type response function on the predator

PA Naik, Z Eskandari, M Yavuz… - Discrete and Continuous …, 2024 - aimsciences.org
This study presents a novel two-dimensional discrete-time predatorprey model incorporating
a Holling-type response function on the predator. The focus lies on identifying stationary …

Qualitative structure of a discrete predator-prey model with nonmonotonic functional response.

Y Zhang, Q Cheng, S Deng - Discrete & Continuous …, 2023 - search.ebscohost.com
In this paper, we study the qualitative structure of a discrete predator-prey model with
nonmonotonic functional response near a degenerate fixed point whose eigenvalues are …

Effect of fear and non-linear predator harvesting on a predator–prey system in presence of environmental variability

B Paul, GC Sikdar, U Ghosh - Mathematics and Computers in Simulation, 2024 - Elsevier
In this paper, we have proposed and analyzed a predator–prey system introducing the cost
of predation fear into the prey reproduction with Holling type-II functional response in the …

Bifurcation Analysis and 0-1 Chaos Test of a Discrete T System

SMS Rana - Chaos Theory and Applications, 2023 - dergipark.org.tr
This study examines discrete-time T system. We begin by listing the topological divisions of
the system's fixed points. Then, we analytically demonstrate that a discrete T system sits at …