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Liu C.,Northeastern University China | Liu C.,State Key Laboratory of Integrated Automation of Process Industry | Zhang Q.,Northeastern University China | Zhang Q.,State Key Laboratory of Integrated Automation of Process Industry
Chinese Control Conference, CCC | Year: 2015

In this paper, we investigate a nonautonomous two prey-one predator system with stage structure for each species. Interspecific competition between mature dominant prey and mature sub-dominant prey species are considered, and three discrete time delays are incorporated into the model due to maturation time for sub-dominant prey, dominant prey and predator species, respectively. By using differential system theory and comparison arguments, an iterative technique is proposed to discuss permanence of periodic solutions. Numerical simulations are carried out to show consistency with theoretical analysis obtained in this paper. © 2015 Technical Committee on Control Theory, Chinese Association of Automation.


Liu C.,Northeastern University China | Liu C.,State Key Laboratory of Integrated Automation of Process Industry | Lu N.,Northeastern University China | Lu N.,State Key Laboratory of Integrated Automation of Process Industry | Cui X.,Northeastern University China
Chinese Control Conference, CCC | Year: 2016

A dynamical model is proposed to discuss interaction mechanism of two-species competition ecological system with double time delays and harvest effort. Sufficient conditions for two nonnegative boundary equilibria are investigated. By using an iterative technique associated with the proposed system, global stability of nonnegative boundary equilibrium is discussed. © 2016 TCCT.


Zhao Y.,Northeastern University China | Zhao Y.,State Key Laboratory of Integrated Automation of Process Industry | Lv R.-Q.,Northeastern University China | Li H.,Northeastern University China | Wang Q.,Northeastern University China
IEEE Transactions on Magnetics | Year: 2014

Microstructure of magnetic fluid under the applied external magnetic field was simulated by the Monte Carlo method, which could be used to research the transmission characteristics of the magnetic fluid film. Transmittance of a 10 μm magnetic fluid film at the 1550 nm wavelength was obtained by tracing the path of a single photon in the film, which could be explained by the phenomenon of microstructure change with various applied magnetic fields. Moreover, the transmittances were measured in the experiment when the light direction was, respectively, parallel and perpendicular to the direction of the applied magnetic field. Maximum errors between the experimental and simulation results are ±8.3% and ±4.4%, respectively, for the above two different cases. In summary, transmittance of magnetic fluid will increase with the increasing of magnetic field intensity when light is parallel to the magnetic field, while transmittance will reduce at first, and then increase with the increasing of the magnetic field intensity when the light is perpendicular to the magnetic field. © 2013 IEEE.


Lu N.,Northeastern University China | Lu N.,State Key Laboratory of Integrated Automation of Process Industry | Liu C.,Northeastern University China | Liu C.,State Key Laboratory of Integrated Automation of Process Industry | Guo J.,Northeastern University China
Proceedings of the 28th Chinese Control and Decision Conference, CCDC 2016 | Year: 2016

In this paper, a mathematical model is established to investigate interaction and coexistence mechanism of two-species competition ecosystem with nonlinear intraspecific regulation. The combined dynamic effects of maturation delay and harvest effort on population dynamics are discussed. Conditions for existence of unique interior equilibrium are investigated. Positivity and boundedness of solutions are analytically studied. By analyzing associated characteristic equation, local stability of the proposed model around the interior equilibrium is discussed. Furthermore, by constructing an appropriate Lyapunov functional, global stability of the unique interior equilibrium is discussed. Numerical simulations are carried out to show consistency with theoretical analysis. © 2016 IEEE.

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