Results 101 to 110 of about 18,412 (196)
Food Quality in Producer-Grazer Models: A Generalized Analysis
, 2010 Stoichiometric constraints play a role in the dynamics of natural populations, but are not explicitly considered in most mathematical models. Recent theoretical works suggest that these constraints can have a significant impact and should not be ...
Feudel, Ulrike +4 more
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Limit Cycles of the Three-dimensional Quadratic Differential System via Hopf Bifurcation
مجلة بغداد للعلومIn this study, the quadratic 3-dimensional differential system is considered, in which the origin of the coordinate becomes the Hopf equilibrium point.
Aram A. Abddulkareem Abddulkareem +2 more
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Pattern Formation in a Semi-Ratio-Dependent Predator-Prey System with Diffusion
Discrete Dynamics in Nature and Society, 2013 We investigate spatiotemporal dynamics of a semi-ratio-dependent predator-prey system with reaction-diffusion and zero-flux boundary. We obtain the conditions for Hopf, Turing, and wave bifurcations of the system in a spatial domain by making use of the ...
Hunki Baek, Dong Ick Jung, Zhi-wen Wang
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Periodic orbits near equilibria via averaging theory of second order
Mathematical Modelling and Analysis, 2012 Lyapunov, Weinstein and Moser obtained remarkable theorems giving sufficient conditions for the existence of periodic orbits emanating from an equilibrium point of a differential system with a first integral.
Luis Barreira +2 more
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Business cycle fluctuations and learning-by-doing externalities in a one-sector model [PDF]
We consider a one-sector Ramsey-type growth model with inelastic labor and learning-by-doing externalities based on cumulative gross investment (cumulative production of capital goods), which is assumed, in accordance with Arrow [5], to be a good index ...
Alain Venditti +2 more
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Aspects of Bifurcation Theory for Piecewise-Smooth, Continuous Systems
, 2010 Systems that are not smooth can undergo bifurcations that are forbidden in smooth systems. We review some of the phenomena that can occur for piecewise-smooth, continuous maps and flows when a fixed point or an equilibrium collides with a surface on ...
Arima +85 more
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Zero-Hopf bifurcation in a predator-prey model
, 2013 We study the competition between two species according the following modification of the Holling-Tanner II model x'= x[r(1 -x/K)-qy/x2 + a], y' = sy (1 -y/nx + c). Of course, x ≥ 0, y ≥ 0 and the parameters a, c, K, n, q, r and s are positive. We prove that its unique positive equilibrium point never exhibits a classical Hopf bifurcation, but for ...
Falconi, Manuel +2 more
openaire +4 more sources
Journal of Applied Mathematics, 2014 This paper studies systematically a differential-algebraic prey-predator model with time delay and Allee effect. It shows that transcritical bifurcation appears when a variation of predator handling time is taken into account.
Xue Zhang, Qing-ling Zhang
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From First Lyapunov Coefficients to Maximal Canards
, 2012 Hopf bifurcations in fast-slow systems of ordinary differential equations can be associated with surprising rapid growth of periodic orbits. This process is referred to as canard explosion.
CHRISTIAN KUEHN +2 more
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Hopf Bifurcation in an SEIDQV Worm Propagation Model with Quarantine Strategy
Discrete Dynamics in Nature and Society, 2012 Worms exploiting zero-day vulnerabilities have drawn significant attention owing to their enormous threats to the Internet. In general, users may immunize their computers with countermeasures in exposed and infectious state, which may take a period of ...
Yu Yao +4 more
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