单体对聚乙烯醇乳化行为的影响及大孔材料的制备

以聚乙烯醇-1788(PVA-1788)为表面活性剂,研究了3种甲基丙烯酸酯系列水溶性单体对水包二氧化碳(C/W)型高内相乳液(HIPE)的形成及稳定性的影响,然后采用HIPE模板法制备了两种大孔材料。结果表明,甲基丙烯酰氧乙基三甲基氯化铵的存在对C/W型HIPE的形成及稳定影响较小,所得乳液最高能稳定48 h;而甲基丙烯酸-β-羟乙酯和甲基丙烯酸-N,N′-二甲氨乙酯的存在却不利于上述乳液的形成及稳定;扫描电子显微镜结果表明,所得材料存在丰富的孔结构,孔径在10μm及以上孔的数量占比均在50%左右。     

具有接种的确定性和随机SIS流行病模型的全局稳定性

We study the stability of endemic equilibriums of the deterministic and stochastic SIS epidemic models with vaccination. The deterministic SIS epidemic model with vaccination was proposed by Li and Ma(2004), for which some sufficient conditions for the global stability of the endemic equilibrium were given in some earlier works. In this paper, we first prove by Lyapunov function method that the endemic equilibrium of the deterministic model is globally asymptotically stable whenever the basic reproduction number is larger than one. For the stochastic version, we obtain some sufficient conditions for the global stability of the endemic equilibrium by constructing a class of different Lyapunov functions.