Results 51 to 60 of about 1,852 (142)

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

Stability and bifurcation analysis of the Bazykin's predator-prey ecosystem with Holling type Ⅱ functional response

Mathematical Biosciences and Engineering, 2021
In the paper, stability and bifurcation behaviors of the Bazykin's predator-prey ecosystem with Holling type Ⅱ functional response are studied theoretically and numerically.
Shuangte Wang, Hengguo Yu
doaj   +1 more source

Operational Parameter Study of Aircraft Dynamics on the Ground [PDF]

, 2009
The dynamics of passenger aircraft on the ground are influenced by the nonlinear characteristics of several components, including geometric nonlinearities, the aerody- namics and interactions at the tyre-ground interface.
Coetzee, Etienne B, Krauskopf, B, Lowenberg, MH, Rankin, AJ   +3 more
core   +2 more sources

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

Dynamics of a Leslie-Gower predator-prey system with cross-diffusion

Electronic Journal of Qualitative Theory of Differential Equations, 2020
A Leslie–Gower predator–prey system with cross-diffusion subject to Neumann boundary conditions is considered. The global existence and boundedness of solutions are shown.
Rong Zou, Shangjiang Guo
doaj   +1 more source

Under nonlinear prey-harvesting, effect of strong Allee effect on the dynamics of a modified Leslie-Gower predator-prey model

Mathematical Biosciences and Engineering, 2023
In the present study, the effects of the strong Allee effect on the dynamics of the modified Leslie-Gower predator-prey model, in the presence of nonlinear prey-harvesting, have been investigated.
Manoj K. Singh, Brajesh K. Singh, Poonam, Carlo Cattani   +3 more
doaj   +1 more source

Nonlinear Interaction of Transversal Modes in a CO2 Laser

, 2002
We show the possibility of achieving experimentally a Takens-Bogdanov bifurcation for the nonlinear interaction of two transverse modes ($l = \pm 1$) in a $CO_2$ laser.
C. Green, C. Pérez-García, E. D'Angelo, F. T. Arecchi, G. B. Mindlin, G. Dangelmayr, G. Dangelmayr, H. Solari, J. R. Tredicce, R. López-Ruiz, R. López-Ruiz   +10 more
core   +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

Dynamics of a Beddington-DeAngelis type predator-prey system with constant rate harvesting

Electronic Journal of Qualitative Theory of Differential Equations, 2017
In the paper, a predator-prey system with Beddington-DeAngelis functional response and constant rate harvesting is considered. Various dynamical behaviors of the system including saddle-node points and a cusp of codimension 2 are investigated by using ...
Jaeun Lee, Hunki Baek
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