Results 51 to 60 of about 88,741 (169)

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

Modeling and Dynamical Analysis of a Beddington–DeAngelis Predator–Prey System With Additional Food and Habitat Complexity

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
Providing predators with additional or alternative food sources, along with increasing habitat complexity, is a widely recognized strategy in biological control. Both theoretical and experimental studies highlight that the quality and quantity of supplementary food are crucial factors influencing the effectiveness of pest regulation. This study reports
Md. Jasim Uddin, Md. Mutakabbir Khan, Sarker Md. Sohel Rana, Shikha Binwal   +3 more
wiley   +1 more source

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

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

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

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

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

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