Results 71 to 80 of about 2,227 (204)

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

Cooperative hunting in a discrete predator-prey system

, 2018
We propose and investigate a discrete-time predator-prey system with cooperative hunting in the predator population. The model is constructed from the classical Nicholson-Bailey host-parasitoid system with density dependent growth rate.
Chow, Yunshyong, Jang, Sophia R. -J., Wang, Hua-Ming   +2 more
core   +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

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

Aspects of Bifurcation Theory for Piecewise-Smooth, Continuous Systems

, 2010
Systems that are not smooth can undergo bifurcations that are forbidden in smooth systems. We review some of the phenomena that can occur for piecewise-smooth, continuous maps and flows when a fixed point or an equilibrium collides with a surface on ...
Arima, Asai, Banerjee, Belghith, Brogliato, Caballé, Campbell, Carmona, Carmona, Carmona, Casey, Chang, Chin, Chua, Colombo, Coombes, D.J.W. Simpson, di Bernardo, di Bernardo, di Bernardo, di Bernardo, di Bernardo, di Bernardo, Do, Do, Feigin, Filippov, Freire, Freire, Ganguli, Gardini, Glendinning, Gonçalves, Guardia, Hadeler, Hassouneh, Hommes, Iwatani, J.D. Meiss, Johansson, Küpper, Küpper, Lagarias, Laugesen, Leine, Leine, Leine, Liberzon, Lin, Llibre, Lum, Maistrenko, Mosekilde, Nusse, Nusse, Popp, Rasband, Rosen, Simpson, Simpson, Simpson, Simpson, Simpson, Simpson, Simpson, Simpson, Sparrow, Sushko, Sushko, Szalai, Szalai, Tiesinga, Tse, Van der Schaft, Yang, Yuan, Zhao, Zhao, Zhusubaliyev, Zhusubaliyev, Zhusubaliyev, Zhusubaliyev, Zhusubaliyev, Zhusubaliyev, Zou, Zou   +85 more
core   +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

Probability of local bifurcation type from a fixed point: A random matrix perspective

, 2005
Results regarding probable bifurcations from fixed points are presented in the context of general dynamical systems (real, random matrices), time-delay dynamical systems (companion matrices), and a set of mappings known for their properties as universal ...
A. Edelman, A. Edelman, A. Edelman, A. Edelman, A. Katok, B. Cessac, B. Doyon, B. Doyon, B. R. Hunt, B. R. Hunt, D. J. Albers, D. J. Albers, D. J. Albers, D. Ruelle, E. Kanzieper, F. Takens, J. C. Sprott, J. Ginbre, J. Neimark, K. Hornik, K. Hornik, M. Kac, O. Moynot, P. Brunovsky, R. Gencay, S. Amari, T. Sauer, V. Girko, V. Girko, V. Girko, V. Girko, V. Girko, V. Girko, V. Girko, V. I. Oseledec, W. Ott, W. Ott, Y. B. Pesin, Z. D. Bai   +38 more
core   +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

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