Results 51 to 60 of about 431 (175)

Modeling the Dynamics of Forest Guards and Chainsaw Operator Interactions: Stability and Hopf Bifurcation Analysis With Time Delay

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
This study develops a mathematical model to analyze the dynamic interaction between forest guards and illegal chainsaw operators within Ghana’s forest reserves. Drawing inspiration from predator–prey population models, the system captures the resistance and confrontation patterns between enforcement agents and offenders.
Elvis Kobina Donkoh, Francis Tuffour, Dominic Otoo, Francois Mahama, Prince Adu Agyemang, Peter Boakye, Chong Lin   +6 more
wiley   +1 more source

Stability, Bifurcation, and Chaos Control in a Discrete‐Time Predator–Prey Model With Gompertz Growth and Ivlev Functional Response Under Proportional Harvesting

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper investigates the complex dynamics of a discrete‐time predator–prey system incorporating proportionate prey harvesting. The model is derived from a continuous system using the forward Euler discretization method and extends a previously studied model by introducing a harvesting term. First, the positivity of solutions is established to ensure
Saad Jamhan Aldosari, Rizwan Ahmed, Waseem Abbas Shah, Asma Khalid, Fulgensia Kamugisha Mbabazi, Mengxin Chen   +5 more
wiley   +1 more source

Self-Organized Patterns Induced by Neimark-Sacker, Flip and Turing Bifurcations in a Discrete Predator-Prey Model with Lesie-Gower Functional Response

Entropy, 2017
The formation of self-organized patterns in predator-prey models has been a very hot topic recently. The dynamics of these models, bifurcations and pattern formations are so complex that studies are urgently needed.
Feifan Zhang, Huayong Zhang, Shengnan Ma, Tianxiang Meng, Tousheng Huang, Hongju Yang   +5 more
doaj   +1 more source

A Discrete Predator–Prey Model With Neem‐Dependent Growth Suppression: Stability and Bifurcation Analysis for Guava Pest Control

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we have developed a discrete‐time predator–prey system to discuss the theoretical basis of guava‐pest management, incorporating the novel neem‐leaf treatment (k), the key bifurcation parameter, logistic prey growth, and the Holling Type‐II functional response.
Tayyaba Mehmood, Muhammad Rafaqat, Salman Saleem, Feyisa Edosa Merga, Mengxin Chen   +4 more
wiley   +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

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

Fractal analysis of Neimark-Sacker bifurcation

, 2012
In this paper we show how a change of box dimension of the orbits of two-dimensional discrete dynamical systems is connected to bifurcations in a nonhyperbolic fixed point. This connection is already shown in the case of one-dimensional discrete dynamical systems.
openaire   +2 more sources

Stability and Neimark-Sacker Bifurcation Analysis in a Genetic Network with Delay

Journal of Advanced Computational Intelligence and Intelligent Informatics, 2017
This paper investigates a genetic model with delay. The stability, direction, and bifurcation periodic solution is derived by using the center manifold theorem and normal form theory. Numerical simulations illustrate the theoretical results.
Feng Liu, Xiang Yin, Zhe Zhang 0022, Fenglan Sun   +3 more
openaire   +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