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 …

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

MO Al-Kaff, HA El-Metwally, AEA Elsadany… - Scientific Reports, 2024 - nature.com
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 …

Multistability, chaos and mean population density in a discrete-time predator–prey system

B Ghosh - Chaos, Solitons & Fractals, 2022 - Elsevier
We investigate a discrete-time system derived from the continuous-time Rosenzweig–
MacArthur (RM) model using the forward Euler scheme with unit integral step size. First, we …

A Novel Discrete‐Time Leslie–Gower Model with the Impact of Allee Effect in Predator Population

S Vinoth, R Sivasamy, K Sathiyanathan, B Unyong… - …, 2022 - Wiley Online Library
The discrete‐time system has more complex and chaotic dynamical behaviors as compared
to the continuous‐time system. This paper extends a discrete Leslie–Gower predator‐prey …

Bifurcations in a modified Leslie–Gower predator–prey discrete model with Michaelis–Menten prey harvesting

A Singh, P Malik - Journal of Applied Mathematics and Computing, 2021 - Springer
In this paper, a modified Leslie–Gower predator–prey discrete model with Michaelis–Menten
type prey harvesting is investigated. It is shown that the model exhibits several bifurcations …

Spatiotemporal analysis of a modified Leslie–Gower model with cross-diffusion and harvesting

S Biswas, LT Bhutia, TK Kar, B Bhunia, E Das - Physica D: Nonlinear …, 2024 - Elsevier
This paper considers a modified Leslie–Gower prey–predator reaction–diffusion model
introducing harvesting of both species. Both the temporal and spatiotemporal dynamics of …

Complexity and chaos analysis for two-dimensional discrete-time predator–prey Leslie–Gower model with fractional orders

T Hamadneh, A Abbes, IA Falahah, YA Al-Khassawneh… - Axioms, 2023 - mdpi.com
The paper introduces a novel two-dimensional fractional discrete-time predator–prey Leslie–
Gower model with an Allee effect on the predator population. The model's nonlinear …

Complicate bifurcation behaviors of a discrete predator–prey model with group defense and nonlinear harvesting in prey

W Yao, X Li - Applicable Analysis, 2023 - Taylor & Francis
In this paper, some complicate dynamical behaviors are formulated for a discrete predator–
prey model with group defense and nonlinear harvesting in prey. After considering the …

Complex dynamics of a discrete-time SIR model with nonlinear incidence and recovery rates

X Yu, M Liu, Z Zheng, D Hu - International Journal of …, 2023 - World Scientific
In this paper, a discrete-time SIR epidemic model with nonlinear incidence and recovery
rates is obtained by using the forward Euler's method. The existence and stability of fixed …

Dynamic Behaviors in a Discrete Model for Predator–Prey Interactions Involving Hibernating Vertebrates

MO Al-Kaff, HA El-Metwally, EMM Elabbasy… - … Journal of Bifurcation …, 2023 - World Scientific
This paper presents a discrete predator–prey interaction model involving hibernating
vertebrates, with detailed analysis and simulation. Hibernation contributes to the survival …