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 dynamically consistent nonstandard finite difference scheme for a predator–prey model

MS Shabbir, Q Din, M Safeer, MA Khan… - Advances in Difference …, 2019 - Springer
The interaction between prey and predator is one of the most fundamental processes in
ecology. Discrete-time models are frequently used for describing the dynamics of predator …

Dynamics and chaos control for a novel model incorporating plant quality index and larch budmoth interaction

Q Din - Chaos, Solitons & Fractals, 2021 - Elsevier
In this paper, we study some dynamics concerning the interaction of budmoth and plant
quality index of larch situated in the Swiss Alps. Taking into account this interaction, a two …

Dynamical behavior of a discrete-time predator–prey system incorporating prey refuge and fear effect

C Mondal, D Kesh, D Mukherjee - Chinese Journal of Physics, 2024 - Elsevier
This paper explores the effects of fear and refuge in a discrete-time two species predator–
prey model. The fraction of prey that seeks refuge is assumed to be proportional to the …

A discrete-time model for consumer–resource interaction with stability, bifurcation and chaos control

Q Din, MI Khan - Qualitative theory of dynamical systems, 2021 - Springer
Kee** in mind the interactions between budmoths and the quality of larch trees located in
the Swiss Alps (a mountain range in Switzerland), a discrete-time model is proposed and …

Modification of Nicholson–Bailey model under refuge effects with stability, bifurcation, and chaos control

Q Din, W Ishaque, MA Iqbal… - Journal of Vibration and …, 2022 - journals.sagepub.com
In this article, a modification is proposed for the classical Nicholson–Bailey model. It is
assumed that the modified model follows all axioms of Nicholson–Bailey model except that …

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 …

Global Dynamics of a Fisheries Economic Model with Gradient Adjustment

H Zhou, XF Li, J Jiang, AYT Leung - International Journal of …, 2024 - World Scientific
Taking into account the nonlinear demand function, we have developed a multi-agent
fishery economic model, where a multitude of agents are bounded by rationality. The fishing …

Bifurcation analysis and control of a delayed stage-structured predator–prey model with ratio-dependent Holling type III functional response

M Peng, Z Zhang - Journal of Vibration and Control, 2020 - journals.sagepub.com
A delayed stage-structured predator–prey model with ratio-dependent Holling type III
functional response is proposed and explored in this study. We discuss the positivity and the …

Global stability and bifurcation analysis of an infochemical induced three species discrete-time phytoplankton–zooplankton model

C Mondal, D Kesh, D Mukherjee - Chaos, Solitons & Fractals, 2023 - Elsevier
This article analyzes a discrete-time three-species model of phytoplankton and zooplankton
with infochemical producing, non-infochemical producing, and zooplankton. It is assumed …