Department of Mathematical Modeling in Ecology and Environment 's publications

2006

Dynamics of a stochastic {L}otka-{V}olterra model perturbed by white noise. J. Math. Anal. Appl. 2006;324:82–97. doi:10.1016/j.jmaa.2005.11.064.
On the robust stability of implicit linear systems containing a small parameter in the leading term. IMA J. Math. Control Inform. 2006;23:67–84. doi:10.1093/imamci/dni044.

2005

Implicit-system approach to the robust stability for a class of singularly perturbed linear systems. Systems & Control Letters. 2005;54:33 - 41. doi:http://dx.doi.org/10.1016/j.sysconle.2004.06.003.
Implicit-system approach to the robust stability for a class of singularly perturbed linear systems. Systems Control Lett. 2005;54:33–41. doi:10.1016/j.sysconle.2004.06.003.
The evolution of periodic population systems under random environments. Tohoku Math. J. (2). 2005;57:447–468. Available at: http://projecteuclid.org/euclid.tmj/1140727068.

2004

On an extension of {L}yapunov criterion of stability for quasi-linear systems via integral inequalities methods. Teor. \u Imov\=ı r. Mat. Stat. 2004:26–35.
Dynamical behavior of {L}otka-{V}olterra competition systems: non-autonomous bistable case and the effect of telegraph noise. J. Comput. Appl. Math. 2004;170:399–422. doi:10.1016/j.cam.2004.02.001.
Connections between implicit difference equations and differential-algebraic equations. Acta Math. Vietnam. 2004;29:23–39.
Optimal control problem for {L}iapunov exponents of two-dimensional systems. Random Oper. Stochastic Equations. 2004;12:11–34. doi:10.1163/156939704323067807.

2003

On complex stability radii for implicit discrete time systems. Vietnam J. Math. 2003;31:475–488.