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Optimal control of a delayed SLBS computer virus model

Chen, Lijuan; Hattaf, Khalid; Sun, Jitao - In: Physica A: Statistical Mechanics and its Applications 427 (2015) C, pp. 244-250

In this paper, a delayed SLBS computer virus model is firstly proposed. To the best of our knowledge, this is the first time to discuss the optimal control of the SLBS model. By using the optimal control strategy, we present an optimal strategy to minimize the total number of the breakingout...

Persistent link: https://www.econbiz.de/10011209655

Hopf bifurcation and harvesting control of a bioeconomic plankton model with delay and diffusion terms

Zhao, Hongyong; Huang, Xuanxuan; Zhang, Xuebing - In: Physica A: Statistical Mechanics and its Applications 421 (2015) C, pp. 300-315

In this paper, we study the dynamics of a bioeconomic plankton model with delay and diffusion terms, in which …

Persistent link: https://www.econbiz.de/10011194035

Delay estimation in a two-node acyclic network

Nagarajan, Radhakrishnan - In: Physica A: Statistical Mechanics and its Applications 376 (2007) C, pp. 725-737

investigates the impact of a positively correlated driver whose correlation function decreases monotonically with lag on the delay …, delay estimation of increment process as opposed to the original process under certain implicit constraints is explored …

Persistent link: https://www.econbiz.de/10010873338

Adaptive exponential synchronization of delayed chaotic networks

Xiong, Wenjun; Xie, Wei; Cao, Jinde - In: Physica A: Statistical Mechanics and its Applications 370 (2006) 2, pp. 832-842

synchronization of its partial variables. Furthermore, based on the Halanay inequality technique, some delay-independent criteria are …

Persistent link: https://www.econbiz.de/10010874054

A delay financial model with stochastic volatility; martingale method

Lee, Min-Ku; Kim, Jeong-Hoon; Kim, Joocheol - In: Physica A: Statistical Mechanics and its Applications 390 (2011) 16, pp. 2909-2919

In this paper, we extend a delayed geometric Brownian model by adding a stochastic volatility term, which is driven by a hidden process of fast mean reverting diffusion, to the delayed model. Combining a martingale approach and an asymptotic method, we develop a theory for option pricing under...

Persistent link: https://www.econbiz.de/10010874388

Pinning synchronization of delayed complex dynamical networks with nonlinear coupling

Cheng, Ranran; Peng, Mingshu; Yu, Weibin - In: Physica A: Statistical Mechanics and its Applications 413 (2014) C, pp. 426-431

In this paper, we find that complex networks with the Watts–Strogatz or scale-free BA random topological architecture can be synchronized more easily by pin-controlling fewer nodes than regular systems. Theoretical analysis is included by means of Lyapunov functions and linear matrix...

Persistent link: https://www.econbiz.de/10010906975

Stochasticity and non-locality of time

Ohira, Toru - In: Physica A: Statistical Mechanics and its Applications 379 (2007) 2, pp. 483-490

We present simple classical dynamical models to illustrate the idea of introducing a stochasticity with non-locality into the time variable. For stochasticity in time, these models include noise in the time variable but not in the “space” variable, which is opposite to the normal description...

Persistent link: https://www.econbiz.de/10011057166

Delayed stochastic resonance with a 1-D ring

Ohira, Toru - In: Physica A: Statistical Mechanics and its Applications 314 (2002) 1, pp. 146-150

with only noise and delay. …

Persistent link: https://www.econbiz.de/10011061694

Decaying of phase synchronization in parkinsonian tremor

Gozolchiani, Avi; Moshel, Shay; Hausdorff, Jeffrey M.; … - In: Physica A: Statistical Mechanics and its Applications 366 (2006) C, pp. 552-560

delay separating their dynamics. These findings suggest that this method may be useful for detecting and quantifying weak …

Persistent link: https://www.econbiz.de/10011064231

Interaction between buses and passengers on a bus route

Nagatani, Takashi - In: Physica A: Statistical Mechanics and its Applications 296 (2001) 1, pp. 320-330

We study the bus delay and the passenger behaviour on a bus route by the use of the bus route model. The time …-headway model of the bus route is extended to take into account the passengers on buses. The bus delay relates with the number of … passengers on buses. It is shown that the dynamical phase transition between the delay and schedule-time phases occurs with …

Persistent link: https://www.econbiz.de/10010588407