Results 61 to 70 of about 2,177 (166)

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 study of resonance tongues near a Chenciner bifurcation using MatcontM [PDF]

, 2011
MatcontM is a matlab toolbox for numerical analysis of bifurcations of fixed points and periodic orbits of maps. It computes codim 1 bifurcation curves and supports the computation of normal coefficients including branch switching from codim 2 points to ...
Govaerts, W., Kuznetsov, Yu.A., Meijer, H.G.E., Neirynck, N.   +3 more
core   +3 more sources

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

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

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

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

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

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

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