Results 61 to 70 of about 1,893 (192)

Nonlinear dynamics in a fear‐driven predator–prey system: Bistability, bifurcations, hydra effect, and optimal harvesting

Mathematical Methods in the Applied Sciences, Volume 48, Issue 2, Page 2194-2223, 30 January 2025.
The impact of predator‐driven fear on ecosystems is significant and can encompass both trophic (direct) and nontrophic (indirect) effects. Previous studies have shown that nontrophic fear effects have an important role in predator–prey dynamics. This study investigates the nontrophic fear effect on prey caused by generalist predators and explores ...
Anuj Kumar Umrao, Sonu Lamba, Prashant K. Srivastava   +2 more
wiley   +1 more source

Local Bifurcation and Global Stability of Two‐Prey‐One‐Predator Model

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
This paper deals with dynamical analysis of an ecological model. This model includes two logistically growing prey species, namely, Prey X and Prey Y, and the third species Z behaves as the predator, predating both Prey X and Prey Y according to the extended Holling type‐II functional response.
Hanaa Jamal Ahmed, Kawther Yusuf Abdulrahman, Karzan Abdulrahman Hamzah, Arkan Nawzad Mustafa, Mohamed A. Eltaher   +4 more
wiley   +1 more source

Bifurcation in a Leslie–Gower system with fear in predators and strong Allee effect in prey

Nonlinear Analysis
In this paper, we consider a modified Leslie–Gower predator–prey model with Allee effect on prey and fear effect on predators. Results show complex dynamical behaviors in the model with these factors.
Ranchao Wu, Wenkai Xiong
doaj   +1 more source

Anomalous scaling behavior in Takens-Bogdanov bifurcations

, 1998
A general algorithm is presented for estimating the nonlinear instability threshold, $\sigma_c$, for subcritical transitions in systems where the linearized dynamics is significantly non-normal (i.e. subcritical bifurcations of {\em Takens-Bogdanov} type)
Baggett, Baggett, Boberg, Bogdanov, Crawford, E.R. Tracy, Farrell, Gephardt, Golub, Guckenheimer, Holmes, McCaughan, Orr, Press, Takens, Trefethen, Waleffe, X.-Z. Tang   +17 more
core   +1 more source

Hydra Effect and Harvesting Optimal Policy in a Generalist Predator Prey Model With General Holling Type Response Functions

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
This study illustrates selective and combined harvesting efforts to examine the existence of hydra effect and global MSTY (maximum sustainable total yield) in a generalist predator–prey mathematical model with general Holling type response functions. The hydra effect is an ecological paradox in which a species’ population size increases in response to ...
Solomon Molla Alemu, Mohammed Yiha Dawed, Tesfaye Tefera Mamo, Theodore Simos   +3 more
wiley   +1 more source

Dynamical Analysis of a Delay Two‐Prey–One‐Predator Model Incorporating Fear Effect in the Growth Rate of Preys

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
In an ecological point of view, fears from predator cause physiological changes of prey population and these physiological changes may reduce the reproduction of prey. This paper deals with studying the effect of fear that is incorporated in the growth rate of prey on the dynamics of a delay ecological model consisting of two logistically growing prey ...
Hersh Aziz Mohammed, Arkan Nawzad Mustafa, Oluwole D. Makinde   +2 more
wiley   +1 more source

A normal form for excitable media

, 2006
We present a normal form for travelling waves in one-dimensional excitable media in form of a differential delay equation. The normal form is built around the well-known saddle-node bifurcation generically present in excitable media.
Georg A. Gottwald, Keener J., Lorenz Kramer, Winfree A. T., Zykov V. S.   +4 more
core   +2 more sources

Péclet‐Number‐Dependent Longitudinal Dispersion in Discrete Fracture Networks

Water Resources Research, Volume 60, Issue 12, December 2024.
Abstract Dispersion in fractured media impacts many environmental and geomechanical practices. It is mainly controlled by the structure of fracture networks and the Péclet number (Pe) $(Pe)$, but predicting it remains challenging. In this study, numerous three‐dimensional stochastic discrete fracture networks (DFNs) were generated, where the density ...
Tingchang Yin, Teng Man, Pei Zhang, Sergio Andres Galindo‐Torres   +3 more
wiley   +1 more source

Complex oscillations in the delayed Fitzhugh-Nagumo equation

, 2015
Motivated by the dynamics of neuronal responses, we analyze the dynamics of the Fitzhugh-Nagumo slow-fast system with delayed self-coupling. This system provides a canonical example of a canard explosion for sufficiently small delays. Beyond this regime,
Krupa, Maciej, Touboul, Jonathan
core   +3 more sources

Structural obstruction to the simplicity of the eigenvalue zero in chemical reaction networks

Mathematical Methods in the Applied Sciences, Volume 47, Issue 4, Page 2993-3006, 15 March 2024.
Multistationarity is the property of a system to exhibit two distinct equilibria (steady‐states) under otherwise identical conditions, and it is a phenomenon of recognized importance for biochemical systems. Multistationarity may appear in the parameter space as a consequence of saddle‐node bifurcations, which necessarily require an algebraically ...
Nicola Vassena
wiley   +1 more source