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Local Hopf bifurcation and global periodic solutions in a delayed predator–prey system
Abstract We consider a delayed predator–prey system. We first consider the existence of local Hopf bifurcations, and then derive explicit formulas which enable us to determine the stability and theExpand
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Bifurcation analysis for Chen's system with delayed feedback and its application to control of chaos
Abstract Time-delayed feedback has been introduced as a powerful tool for control of unstable periodic orbits or control of unstable steady states. In the present paper, regarding the delay asExpand
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Stability and Hopf bifurcation analysis on a simplified BAM neural network with delays
A delay-differential equation modelling a bidirectional associative memory (BAM) neural network with three neurons is investigated. Its dynamics are studied in terms of local analysis and HopfExpand
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Stability and bifurcation in a non-kolmogorov type prey-predator system with time delay
TLDR
The purpose of this paper is to study a non-Kolmogrov type prey-predator system. Expand
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Bifurcation analysis and Turing instability in a diffusive predator-prey model with herd behavior and hyperbolic mortality
Abstract In this paper, we consider a predator-prey model with herd behavior and hyperbolic mortality subject to the homogeneous Neumann boundary condition. Firstly, we prove the existence andExpand
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Bifurcation analysis in a predator-prey system with time delay
Abstract In this paper, a predator–prey system with a discrete delay and a distributed delay is investigated. We first consider the stability of the positive equilibrium and the existence of localExpand
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Stability Switches and Hopf Bifurcations in a Pair of Delay-Coupled Oscillators
TLDR
We show that there exist stability switches for time delays under certain conditions, which do not occur for the corresponding coupled system without time delays. Expand
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Stability switches and Hopf bifurcations in a pair of identical tri-neuron network loops
The dynamical behavior of a delayed neural network coupled by a pair of identical tri-neuron loops is considered. Conditional/absolute stability, stability switches and Hopf bifurcations induced byExpand
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Existence of entire large positive solutions of a semilinear elliptic system
  • Y. Peng, Y. Song
  • Mathematics, Computer Science
  • Appl. Math. Comput.
  • 1 August 2004
TLDR
We show that large positive radial solutions exist for the semilinear elliptic system @Du=p(|x|)f(v), @Dv=q(| x|)g(u) on R^N(N>=3) for nonnegative, nondecreasing continuous functions f and g. Expand
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Existence of Travelling Wave Fronts for a Diffusive Vector Disease Model with Delay
In this paper, the existence of monotone travelling front solutions is established for a diffusive vector disease model with a discrete delay. We show that if the delay is sufficiently small, thenExpand
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