Results 81 to 90 of about 710,736 (219)

Neimark–Sacker bifurcation and stability analysis of a discrete-time prey–predator model with Allee effect in prey

open access: yesAdvances in Difference Equations, 2019
In this paper, the dynamical behaviors of a discrete-time prey–predator model with Allee effect on the prey population are investigated. The existence and topological classification of the fixed points of the model are analyzed.
Figen Kangalgil
doaj   +1 more source

Dynamic behavior analysis of a prey-predator model with ratio-dependent Monod-Haldane functional response

open access: yesOpen Mathematics, 2018
This paper investigates the dynamic behavior analysis on the prey-predator model with ratio-dependent Monod-Haldane response function under the homogeneous Dirichlet boundary conditions, which is used to simulate a class of biological system.
Feng Xiaozhou, Song Yi, An Xiaomin
doaj   +1 more source

Backward bifurcation underlies rich dynamics in simple disease models [PDF]

open access: yesarXiv, 2015
In this paper, dynamical systems theory and bifurcation theory are applied to investi- gate the rich dynamical behaviours observed in three simple disease models. The 2- and 3-dimensional models we investigate have arisen in previous investigations of epidemiol- ogy, in-host disease, and autoimmunity.
arxiv  

Bifurcations of stationary measures of random diffeomorphisms [PDF]

open access: yesarXiv, 2005
Random diffeomorphisms with bounded absolutely continuous noise are known to possess a finite number of stationary measures. We discuss dependence of stationary measures on an auxiliary parameter, thus describing bifurcations of families of random diffeomorphisms.
arxiv  

Bifurcation theory for Fredholm operators

open access: yesJournal of Differential Equations
This paper consists of four parts. It begins by using the authors's generalized Schauder formula, [50], and the algebraic multiplicity, $χ$, of Esquinas and López-Gómez [18,17,40] to package and sharpening all existing results in local and global bifurcation theory for Fredholm operators through the recent author's axiomatization of the Fitzpatrick ...
Julián López-Gómez   +1 more
openaire   +2 more sources

Controlling Delay-induced Hopf bifurcation in Internet congestion control system [PDF]

open access: yesarXiv, 2007
This paper focuses on Hopf bifurcation control in a dual model of Internet congestion control algorithms which is modeled as a delay differential equation (DDE). By choosing communication delay as a bifurcation parameter, it has been demonstrated that the system loses stability and a Hopf bifurcation occurs when communication delay passes through a ...
arxiv  

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