Results 81 to 90 of about 909 (172)
Stability switching at transcritical bifurcations of solitary waves in generalized nonlinear Schrödinger equations [PDF]
Physics Letters A, 2013 Linear stability of solitary waves near transcritical bifurcations is analyzed for the generalized nonlinear Schroedinger equations with arbitrary forms of nonlinearity and external potentials in arbitrary spatial dimensions. Bifurcation of linear-stability eigenvalues associated with this transcritical bifurcation is analytically calculated.
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Stability and Bifurcations in a Discrete-Time Eco-Evolutionary Logistic Model
MathematicsIn this paper I study a two-dimensional discrete-time evolutionary logistic-type model describing the coupled dynamics of population density and a continuously evolving trait.
Rafael Luís
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Mathematical remarks on transcritical bifurcation in Hamiltonian systems
, 2007 This article is meant as a mathematical appendix or comment on [BT]. We first consider the notion of transcritical bifurcations of fixed points of general area-preserving maps, and then adress some questions related to [BT] on bifurcation in Poincaré maps of 2-dimensional Hamiltonian systems. [BT] M. Brack and K.
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Complex dynamics of a nonlinear discrete predator-prey system with Allee effect
Open MathematicsThe transition between strong and weak Allee effects in prey provides a simple regime shift in ecology. In this article, we study a discrete predator-prey system with Holling type II functional response and Allee effect. First, the number of fixed points
Wang Jing, Lei Ceyu
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Exploring Transcritical and Pitchfork Bifurcations in Parameter-Varying Systems
Journal of Computational MathematicaThis work explores with an emphasis on limited trajectories close to the origin, as well as their pullback attraction and asymptotic instability, this paper examines non-autonomous trans critical bifurcations as well as pitchfork bifurcation. It examines the circumstances in which bifurcation takes place, using the dynamics outlined in system.
Geethalakshmi S +3 more
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Exploring chaos and bifurcation in a discrete prey–predator based on coupled logistic map
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
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The local Bifurcation of Dynamic Behavior of Predator-Prey System with Refuge for both Species
Ibn Al-Haitham Journal for Pure and Applied SciencesThe main purpose of this paper is to study a predator – prey dynamical system consisting of three species prey, specialized predator and generalist predator namely H (t), I (t) and J (t) respectively, w food web and refuge for the prey and specialized ...
Intsar Matlob, Saad Naji
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Discrete Dynamics in Nature and Society, 2016 An SIR epidemic model with saturated treatment function and nonlinear pulse vaccination is studied. The existence and stability of the disease-free periodic solution are investigated.
Xiangsen Liu, Binxiang Dai
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International Journal of Bifurcation and ChaosIn this paper, we investigate the impact of functional shifts in a time-discrete cross-catalytic system. We use the hypercycle model considering that one of the species shifts from a cooperator to a degrader. At the bifurcation caused by this functional shift, an invariant curve collapses to a point [Formula: see text] while, simultaneously, two fixed
Ernest Fontich +3 more
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Journal of Biological Dynamics, 2019 The interaction between plants and herbivores is one of the most fundamental processes in ecology. Discrete-time models are frequently used for describing the dynamics of plants and herbivores interaction with non-overlapping generations, such that a new
Qamar Din +3 more
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