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Stationary oscillation for cellular neural networks with time delays and impulses

Zhang, Yinping - In: Mathematics and Computers in Simulation (MATCOM) 79 (2009) 10, pp. 3174-3178

This paper studies stationary oscillation for a time-varying recurrent cellular neural network with time delays and impulses. In a recent paper, the authors claim that they obtain a criterion of existence, uniqueness, and global exponential stability of periodic solution (i.e. stationary...

Persistent link: https://www.econbiz.de/10010749033

Global stability and bifurcation of time delayed prey–predator system incorporating prey refuge

Jana, Soovoojeet; Chakraborty, Milon; Chakraborty, Kunal; … - In: Mathematics and Computers in Simulation (MATCOM) 85 (2012) C, pp. 57-77

neighborhood of the co-existing equilibrium point. Discrete-type gestational delay of predators is also incorporated on the system …. The dynamics of the delay induced prey–predator system is analyzed. Delay preserving stability and direction of the system … is studied. Global stability of the delay preserving system is shown. Finally, some numerical simulations are given to …

Persistent link: https://www.econbiz.de/10010751774

Global stability analysis for delayed virus infection model with general incidence rate and humoral immunity

Wang, Tianlei; Hu, Zhixing; Liao, Fucheng; Ma, Wanbiao - In: Mathematics and Computers in Simulation (MATCOM) 89 (2013) C, pp. 13-22

In this paper, we investigate the dynamical behavior of a virus infection model with general incidence rate and humoral immunity. By using suitable Lyapunov functional and the LaSalle's invariance principle, we establish the global stability of the three equilibria. The uninfected equilibrium E0...

Persistent link: https://www.econbiz.de/10011050707

GLOBAL STABILITY OF A NONLINEAR DISCRETE POPULATION MODEL WITH TIME DELAYS

FANG, NA; CHEN, XIAOXING - In: Advances in Complex Systems (ACS) 10 (2007) 03, pp. 315-333

The global stability of a nonlinear discrete population model of Volterra type is studied. The model incorporates time delays. By linearization of the model at positive solutions and construction of Liapunov functionals, sufficient conditions are obtained to ensure that a positive solution of...

Persistent link: https://www.econbiz.de/10005047451

History versus Expectations in Economic Geography Reconsidered

Oyama, Daisuke - Volkswirtschaftliche Fakultät, … - 2006

This paper studies global stability of spatial configurations in a dynamic two-region model with quadratic adjustment costs where rational migrants make migration decisions so as to maximize their discounted future utilities. A global analysis is conducted to show that, except for knife-edge...

Persistent link: https://www.econbiz.de/10005836899

Bifurcation, Chaos and Attractor in the Logistic Competition

Małgorzata, Guzowska - In: Folia Oeconomica Stetinensia 10 (2012) 2, pp. 7-18

This paper deals with a two-dimensional discrete time competition model. The corresponding twodimensional iterative map is represented in terms of its bifurcation diagram in the parameter plane. A number of bifurcation sequences for attractors and their basins are studied.

Persistent link: https://www.econbiz.de/10011008125

A viral infection model with periodic immune response and nonlinear CTL response

Ji, Yu; Min, Lequan; Zheng, Yu; Su, Yongmei - In: Mathematics and Computers in Simulation (MATCOM) 80 (2010) 12, pp. 2309-2316

This paper investigates a viral infection model with periodic immune response and nonlinear cytotoxic T lymphocyte (CTL) response. Using the periodic rhythms of human immune system, the model can avoid the unreasonable equilibrium in the basic viral model with nonlinear CTL response introduced...

Persistent link: https://www.econbiz.de/10010870165

Nonlinear predictive controller for a permanent magnet synchronous motor drive

Errouissi, Rachid; Ouhrouche, Mohand - In: Mathematics and Computers in Simulation (MATCOM) 81 (2010) 2, pp. 394-406

A nonlinear predictive controller (NPC) for a permanent magnet synchronous motor (PMSM) is proposed in this paper. Its objective is high performance tracking of the rotor speed trajectory while maintaining the d-axis component of the armature current at zero. The load torque and the mismatched...

Persistent link: https://www.econbiz.de/10010870607

Convergence and optimization of agent-based coalition formation

Wang, Yuanshi; Wu, Hong - In: Physica A: Statistical Mechanics and its Applications 348 (2005) C, pp. 641-658

In this paper, we analyze the model of agent-based coalition formation in markets. Our goal is to study the convergence of the coalition formation and optimize agents’ strategies. We show that the model has a unique steady state (equilibrium) and prove that all solutions converge to it in the...

Persistent link: https://www.econbiz.de/10010872193

Prediction of global stability in room and pillar coal mines

Ghasemi, Ebrahim; Ataei, Mohammad; Shahriar, Kourosh - In: Natural Hazards 72 (2014) 2, pp. 405-422

Global stability is a necessary prerequisite for safe retreat mining and one of the crucial and complex problems in room and pillar mining, so its prediction plays an important role in the safety of retreat mining and the reduction of pillar failure risk. In this study, we have tried to develop...

Persistent link: https://www.econbiz.de/10010846949

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