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Fermionic quantization of Hopf solitons [PDF]
, 2006 In this paper we show how to quantize Hopf solitons using the Finkelstein-Rubinstein approach. Hopf solitons can be quantized as fermions if their Hopf charge is odd.
Speight, J.Martin, Krusch, Steffen
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Dynamics of a plant-herbivore model with a chemically-mediated numerical response
Mathematics in Applied Sciences and Engineering, 2021 A system of two ordinary differential equations is proposed to model chemically-mediated interactions between plants and herbivores by incorporating a toxin-modified numerical response.
Lin Wang, James Watmough, Fang Yu
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, 2013 Necessary and sufficient conditions are obtained for an ambiskew polynomial algebra A over a Hopf k-algebra R to possess the structure of a Hopf algebra extending that of R, in which the added variables X+ and X- are skew primitive.
Brown, K.A., Brown, K., Macauley, M.
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Dynamics of a Discretization Physiological Control System
Discrete Dynamics in Nature and Society, 2007 We study the dynamics of solutions of discrete physiological control system obtained by Midpoint rule. It is shown that a sequence of Hopf bifurcations occurs at the positive equilibrium as the delay increases and we analyze the stability of the solution
Xiaohua Ding, Huan Su
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Hopf Bifurcation Analysis of the Halvorsen System
Zanco Journal of Pure and Applied SciencesThis paper investigates local bifurcations in the Halvorsen system, focusing specifically on transcritical and Hopf bifurcations. The behavior of equilibrium points during bifurcations is studied using Sotomayor's theorem for transcritical bifurcation ...
Kardo Baiz Othman, Adnan Ali Jalal
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Bifurcation Analysis in a Two-Dimensional Neutral Differential Equation
Abstract and Applied Analysis, 2013 The dynamics of a 2-dimensional neural network model in neutral form are investigated. We prove that a sequence of Hopf bifurcations occurs at the origin as the delay increases.
Ming Liu, Xiaofeng Xu
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AxiomsIn this paper, we investigate the existence of Hopf bifurcations in a mathematical model that includes economic growth, corruption, and unemployment. The model links these social and economic factors to provide insights into the dynamics of the economy ...
Ogochukwu Ifeacho +1 more
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Journal of Applied Mathematics, 2014 We revisit a homogeneous reaction-diffusion Turing model subject to the Neumann boundary conditions in the one-dimensional spatial domain. With the help of the Hopf bifurcation theory applicable to the reaction-diffusion equations, we are capable of ...
Yan Zhang, Zhenhua Bao
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Stability and Hopf Bifurcation Analysis on a Bazykin Model with Delay
Abstract and Applied Analysis, 2014 The dynamics of a prey-predator system with a finite delay is investigated. We show that a sequence of Hopf bifurcations occurs at the positive equilibrium as the delay increases.
Jianming Zhang +2 more
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Dynamics of adding variable prey refuge and an Allee effect to a predator–prey model
Alexandria Engineering Journal, 2022 Prey refuge from predators can play an important role in stabilising an ecological system by reducing interactions between species, while Allee effects can arise from a range of biological phenomena, such as anti-predator vigilance, genetic trends and ...
Hafizul Molla +3 more
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