The asymptotic stability of two species stochastic Lotka-Volterra model is explored in this paper. Firstly, the Lotka-Volterra model with random parameter is built and reduced into the equivalent deterministic system ...The asymptotic stability of two species stochastic Lotka-Volterra model is explored in this paper. Firstly, the Lotka-Volterra model with random parameter is built and reduced into the equivalent deterministic system by orthogonal polynomial approximation. Then, the linear stability theory and Routh-Hurwitz criterion for nonlinear deterministic systems are applied to the equivalent one. At last, at the aid of Lyapunov second method, we obtain that as the random intensity or statistical parameter of random variable is changed, the stability about stochastic Lotka-Volterra model is different from the deterministic system.展开更多
Besides gas sensitivity,NASICON (Na super ion conductor) material has luminescence characterization.In this paper,the photoluminescence properties of NASICON and doped-NASICON material are investigated.The NASICON mat...Besides gas sensitivity,NASICON (Na super ion conductor) material has luminescence characterization.In this paper,the photoluminescence properties of NASICON and doped-NASICON material are investigated.The NASICON material was synthesized by conventional sol-gel process,and doped with Er_2O_3,Tm_2O_3,Dy_2O_3,CsCl by 1%,3%,5% (mass ratio),respectively.The ultraviolet light (325 nm,He-Cd laser) excited luminescent emissions of the resulted powders are recorded vs.wavelength in the 330 nm to 650 nm range.The main peak of the pure NASICON is found at the wavelength of 474 nm (blue light),the transition energy is 2.616 eV.The luminescent intensity is weakened obviously after doping with Er_2O_3 and Tm_2O_3,but is increased after doping with Dy_2O_3 and 3% CsCl.展开更多
文摘The asymptotic stability of two species stochastic Lotka-Volterra model is explored in this paper. Firstly, the Lotka-Volterra model with random parameter is built and reduced into the equivalent deterministic system by orthogonal polynomial approximation. Then, the linear stability theory and Routh-Hurwitz criterion for nonlinear deterministic systems are applied to the equivalent one. At last, at the aid of Lyapunov second method, we obtain that as the random intensity or statistical parameter of random variable is changed, the stability about stochastic Lotka-Volterra model is different from the deterministic system.
文摘Besides gas sensitivity,NASICON (Na super ion conductor) material has luminescence characterization.In this paper,the photoluminescence properties of NASICON and doped-NASICON material are investigated.The NASICON material was synthesized by conventional sol-gel process,and doped with Er_2O_3,Tm_2O_3,Dy_2O_3,CsCl by 1%,3%,5% (mass ratio),respectively.The ultraviolet light (325 nm,He-Cd laser) excited luminescent emissions of the resulted powders are recorded vs.wavelength in the 330 nm to 650 nm range.The main peak of the pure NASICON is found at the wavelength of 474 nm (blue light),the transition energy is 2.616 eV.The luminescent intensity is weakened obviously after doping with Er_2O_3 and Tm_2O_3,but is increased after doping with Dy_2O_3 and 3% CsCl.
