Results 41 to 50 of about 382 (138)

Transcritical bifurcation and Neimark-Sacker bifurcation of a discrete predator-prey model with herd behaviour and square root functional response

Mathematical and Computer Modelling of Dynamical Systems
In this paper, a discrete predator-prey model incorporating herd behaviour and square root response function is deduced from its continuous version by the semi-discretization method.
Danyang Li, Xianyi Li
doaj   +1 more source

Stability and Bifurcation of a Class of Discrete-Time Cohen-Grossberg Neural Networks with Delays

Discrete Dynamics in Nature and Society, 2011
A class of discrete-time Cohen-Grossberg neural networks with delays is investigated in this paper. By analyzing the corresponding characteristic equations, the asymptotical stability of the null solution and the existence of Neimark-Sacker bifurcations ...
Qiming Liu, Rui Xu, Zhiping Wang
doaj   +1 more source

The Effects of Fluctuating Carrying Capacity on the Dynamics of a Holling‐Type III Predator–Prey Model

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study investigates the complex dynamics of a predator–prey system governed by the classical Lotka–Volterra model incorporating a Holling‐type III. To capture environmental variability, the prey’s carrying capacity is modeled as a periodic function, introducing a time‐dependent forcing into the system.
Ali Sarrah, Faizah J. Alanazi, Mehmet Yavuz, Sayed Saber, Mengxin Chen   +4 more
wiley   +1 more source

Stability and Bifurcation Analysis in a Discrete Predator–Prey System of Leslie Type with Radio-Dependent Simplified Holling Type IV Functional Response

Mathematics
In this paper, we use a semi-discretization method to consider the predator–prey model of Leslie type with ratio-dependent simplified Holling type IV functional response.
Luyao Lv, Xianyi Li
doaj   +1 more source

Neimark-Sacker Bifurcation in Demand-Inventory Model with Stock-Level-Dependent Demand

Discrete Dynamics in Nature and Society, 2017
An analysis of dynamics of demand-inventory model with stock-level-dependent demand formulated as a three-dimensional system of difference equations with four parameters is considered.
Piotr Hachuła, Magdalena Nockowska-Rosiak, Ewa Schmeidel   +2 more
doaj   +1 more source

Exploring Stability Landscapes and Complex Dynamics in a Discrete Holling–Tanner Predator–Prey Model via Bifurcation Theory and Machine Learning

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Discretization of continuous models can do more than approximate their dynamics; it can fundamentally transform their dynamical behavior, such as the complex dynamical behavior that translates the system to a chaotic state. In this study we investigated the discrete‐time Holling–Tanner predator–prey model.
Muhammad Rafaqat, Magda Abd El-Rehman, Abubakar Masha, Tayyaba Mehmood, Anila Bibi, Feyisa Edosa Merga, Smritijit Sen   +6 more
wiley   +1 more source

Complex Dynamics and Chaos Control of Discrete Prey–Predator Model With Caputo Fractional Derivative

Complexity, Volume 2025, Issue 1, 2025.
This work examines a discrete prey–predator model using the fractional derivative. The conditions for the existence and stability of the fixed points in the model are identified. The analysis is centered on exploring various bifurcations at the positive fixed point to understand their ecological implications.
Rowshon Ara, Sohel Rana S. M., Jesus Manuel Munoz-Pacheco   +2 more
wiley   +1 more source

A Study of Stability and Bifurcation in a Discretized Predator–Prey Model With Holling Type III Response and Prey Refuge Via Piecewise Constant Argument Method

Complexity, Volume 2025, Issue 1, 2025.
This study explores the dynamics of a discrete‐time predator–prey system, incorporating a Holling type III functional response and prey refuge, through the piecewise constant argument method. This method keeps things consistent and prevents negative population values, which is often a drawback of older techniques. We take a closer look at fixed points,
Faisal Alsharif, Rizwan Ahmed, Ibrahim Alraddadi, Mohammed Alsubhi, Muhammad Amer, Md. Jasim Uddin, Giacomo Innocenti   +6 more
wiley   +1 more source

Bifurcations and chaos in a novel discrete economic system

Advances in Mechanical Engineering, 2019
In this article, a novel discrete system based on an economic model is introduced. Conditions for local stability of the model’s fixed points are obtained. Existence of supercritical Neimark–Sacker bifurcation is shown around the game’s Nash equilibrium.
A Al-khedhairi, AE Matouk, SS Askar
doaj   +1 more source

Bifurcation Dynamics and Complex Behavior in a Discrete‐Time Predator–Prey Model With Cross‐Species Interaction Incorporating Holling Type‐II Response

Complexity, Volume 2025, Issue 1, 2025.
We investigate the nonlinear dynamics of a discrete‐time predator–prey model governed by a Holling Type‐II functional response. Starting from a biologically motivated continuous‐time system, we derive its discrete analogue via the explicit Euler method and employ nondimensionalization to reduce the number of parameters.
Muhammad Rafaqat, Syed Tauseef Saeed, Salman Saleem, Feyisa Edosa Merga, Xinzhi Liu   +4 more
wiley   +1 more source