Results 21 to 30 of about 170,441 (221)
The saddle-node-transcritical bifurcation in a population model with constant rate harvesting
Discrete & Continuous Dynamical Systems - B, 2010 We study the interaction of saddle-node and transcritical bifurcations in a Lotka-Volterra model with a constant term representing harvesting or migration. Because some of the equilibria of the model lie on an invariant coordinate axis, both the saddle-node and the transcritical bifurcations are of codimension one.
Kie Van Ivanky Saputra +2 more
semanticscholar +7 more sources
Transcritical bifurcation yielding global stability for network processes
Nonlinear Analysis, 2020 Abstract Several network processes exhibiting transcritical bifurcation have globally stable steady states. Their dynamical behaviour is captured by a simple property of the right hand side of the corresponding system of ODEs. Based on this property, a class of dynamical systems is introduced, for which the local stability of the trivial steady state
Ágnes Bodó, Peter Šimon
semanticscholar +6 more sources
Transcritical bifurcation of an immunosuppressive infection model [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2016 In this paper, the dynamic behavior of an immunosuppressive infection model, speci_cally AIDS, is analyzed. We show through a simple mathematical model that a sigmoidal CTL response can lead to the occurrence of transcritical bifurcation.
Elham Shamsara +2 more
doaj +3 more sources
Dynamic analysis and control of a rice-pest system under transcritical bifurcations. [PDF]
PeerJ, 2023 A decision model is developed by adopting two control techniques, combining cultural methods and pesticides in a hybrid approach. To control the adverse effects in the long term and to be able to evaluate the extensive use of pesticides on the environment and nearby ecosystems, the novel decision model assumes the use of pesticides only in an emergency
Mandal S +3 more
europepmc +7 more sources
Transcritical Bifurcations and Algebraic Aspects of Quadratic Multiparametric Families [PDF]
WSEAS TRANSACTIONS ON MATHEMATICS, 2021 This article reveals an analysis of the quadratic systems that hold multiparametric families therefore, in the first instance the quadratic systems are identified and classified in order to facilitate their study and then the stability of the critical points in the finite plane, its bifurcations, stable manifold and lastly, the stability of the ...
Orge Rodríguez Contreras +3 more
+7 more sources
Exploring chaos and bifurcation in a discrete prey–predator based on coupled logistic map [PDF]
Scientific ReportsThis research paper investigates discrete predator-prey dynamics with two logistic maps. The study extensively examines various aspects of the system’s behavior.
Mohammed O. Al-Kaff +3 more
doaj +3 more sources
Transcritical Bifurcation without Parameters in Memristive Circuits [PDF]
SIAM Journal on Applied Mathematics, 2018 The transcritical bifurcation without parameters (TBWP) describes a stability change along a line of equilibria, resulting from the loss of normal hyperbolicity at a given point of such a line. Memristive circuits systematically yield manifolds of non-isolated equilibria, and in this paper we address a systematic characterization of the TBWP in ...
Ricardo Riaza
openalex +5 more sources
Discretizing the transcritical and pitchfork bifurcations – conjugacy results [PDF]
Journal of Difference Equations and Applications, 2015 We present two case studies in one-dimensional dynamics concerning the discretization of transcritical (TC) and pitchfork (PF) bifurcations. In the vicinity of a TC or PF bifurcation point and under some natural assumptions on the one-step discretization method of order $p\ge 1$, we show that the time-$h$ exact and the step-size-$h$ discretized ...
Lajos Lóczi
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Transcritical bifurcations in nonintegrable Hamiltonian systems [PDF]
Physical Review E, 2008 LaTeX, 38 pages, 13 figures; substantially revised version v4; to be published in Phys.
M. Brack, К. Tanaka
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Transcritical and zero-Hopf bifurcations in the Genesio system [PDF]
Nonlinear Dynamics, 2016 Agraïments: The first author is supported by FAPESP Grant No. 2013/24541-0. Both authors are supported by CAPES Grant 88881.030454/2013-01 Program CSF-PVE. In this paper we study the existence of transcritical and zero--Hopf bifurcations of the third--order ordinary differential equation a b c x - x^2 = 0, called the Genesio equation, which has a ...
Pedro Toniol Cardin, Jaume Llibre
+10 more sources