一类具有饱和感染率与治愈率的HIV病理模型

将治愈率以及饱和感染率引入基本的HIV病理模型,构建一个改进的HIV病理模型.利用微分动力系统的相关理论,证明改进模型中无病平衡点和染病平衡点的全局渐近稳定性,然后执行相关的数值模拟以验证所得结论.研究结果表明:在饱和感染率的条件下,HIV感染进程变缓;同时提高治愈率能有效地控制HIV感染.     

CdTe量子点作荧光探针检测微量铅的方法研究

研究了用表面修饰的CdTe量子点作荧光探针检测水相中的微量铅离子。以巯基丙酸为稳定剂,在水相中合成了CdTe量子点。基于Pb2+对CdTe量子点有显著的荧光猝灭作用,用CdTe量子点作荧光探针,建立了水相中微量Pb2+的定量检测方法。研究结果表明:在优化的实验条件下,当Pb2+浓度在1.0×10-8～1.0×10-6 mol.L-1范围内时,量子点的荧光猝灭强度(ΔF)与Pb2+的浓度之间有良好的线性关系,线性相关系数为0.997 2,计算此方法的检出限为9.3×10-10 mol.L-1,相对标准偏差为5.9%,回收率为86%～110%。同时研究了常见金属离子的干扰作用,结果表明所建立的方法具有很好的选择性。     

ZnS:Mn量子点作磷光探针定量检测微量汞

以巯基丙酸(MPA)为稳定剂,合成了锰掺杂硫化锌(ZnS:Mn)量子点。由于汞离子对ZnS:Mn量子点的磷光有很强的猝灭作用,应用MPA修饰的ZnS:Mn量子点作磷光探针,定量检测水相中的微量汞离子。相对于荧光,磷光的寿命长、选择性好,没有荧光和散射光的干扰。在优化的实验条件下,当汞离子的浓度在1.0×10~(-5)~1.0×10~(-3)mol·L~(-1)范围内时,ZnS:Mn量子点的△P/P与汞离子浓度之间的关系符合Stem-Volmer方程,其线性相关系数为0.998 8。回收率为85.2%~106.1%,相对标准偏差为3.46%,检出限为9.7×10~(-6)mol·L~(-1)。讨论了量子点磷光的猝灭机理,研究了常见金属离子的干扰作用,选择合适的掩蔽剂,可以有效地消除干扰离子的影响。     

Chaotic dynamic behavior analysis and control for a financial risk system

According to the risk management process of financial markets,a financial risk dynamic system is constructed in this paper.Through analyzing the basic dynamic properties,we obtain the conditions for stability and bifurcation of the system based on Hopf bifurcation theory of nonlinear dynamic systems.In order to make the system’s chaos disappear,we select the feedback gain matrix to design a class of chaotic controller.Numerical simulations are performed to reveal the change process of financial market risk.It is shown that,when the parameter of risk transmission rate changes,the system gradually comes into chaos from the asymptotically stable state through bifurcation.The controller can then control the chaos effectively.     

Cyclic stress induced phase transformation in super-bainitic microstructure

The effects of cyclic stress loading on the microstructual evolution and tensile properties of a medium-carbon superbainitic steel were investigated. Experimental results show that the cyclic stress can induce the carbon gathering in austenite and phase transformation from film-like retained austenite to twin martensite, which will obviously enhance the tensile strength and the product of tensile strength and ductility. The higher the bainitic transformation temperature, the lower the transformation rate of the retained austenite. The amount and thickness of the film-like retained austenite play an important role during the cyclic stress induced phase transformation.