Results 41 to 50 of about 963 (172)

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

Neimark Sacker bifurcations and non-linear energy exchange in chains of non-linear oscillators

, 2022
International audienceWe treat a chain of oscillators with linear stiffness and internal and external cubic non-linearities. The method of harmonic balance is used to determine the non-linear modes of the Hamiltonian system. For each equilibrium point, a
Baguet, Sébastien, Hurel, Gabriel, Lamarque, Claude-Henri   +2 more
core   +1 more source

Dynamical analysis of discretized Logistic model with Caputo- Fabrizio fractional derivative [PDF]

Computational Ecology and Software, 2021
In this paper we consider a fractional order Logistic model with Caputo-Fabrizio fractional derivative. By applying two-step Adams-Bashforth scheme, we obtain a system of difference equations.
H. Karakaya, I. Ozturk, S. Kartal, F. Gurcan   +3 more
doaj  

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

Bifurcation and Stability of Two-Dimensional Activator–Inhibitor Model with Fractional-Order Derivative

Fractal and Fractional, 2023
In organisms’ bodies, the activities of enzymes can be catalyzed or inhibited by some inorganic and organic compounds. The interaction between enzymes and these compounds is successfully described by mathematics.
Messaoud Berkal, Mohammed Bakheet Almatrafi   +1 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

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

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

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