带有Ornstein-Uhlenbeck 过程的随机logistic种群模型

研究带有均值回复Ornstein-Uhlenbeck过程的随机logistic种群模型的动力学行为。证明收获努力E＊可以控制随机微分方程模型的随机灭绝和持续:若E≥E＊并且满足一些其他条件,则种群灭绝;若E     

一类捕食-食饵系统绝灭的充分条件

研究了一类具有生物和化学控制(周期释放天敌和喷洒杀虫剂)的两食饵-两捕食者模型的动力学性质.通过线性周期脉冲方程的F loquet理论和小幅扰动方法,证明当脉冲周期小于某个临界值时,存在一个全局渐近稳定的两个害虫根除周期解.     

消光比温度测试的实验研究

建立偏光器件消光比随温度变化特性的测试系统 ;分别对偏光器件在同一温度和不同温度的消光比进行了测量 .相同温度时同只棱镜的消光比重复性很好 ;不同温度时它随着温度的升高而有所降低 .实现了较好的实验结果 .     

Butterflies of Grand Cayman,a dynamic island fauna

The butterflies of Grand Cayman, West Indies, have been surveyed in 1938, 1975 and 1985. Results of these surveys, together with information from other sources, are examined and it is shown that 46 species have been recorded, 8 of which are considered as vagrants and 38 as breeding species. Of the latter, 7 are believed to have become extinct and 6 are new colonists within the span of almost fifty years. The island can apparently support about 30 co-existing breeding species. These findings are discussed in terms of island biogeography theory. Grand Cayman data fit a species area regression for other West Indies islands very closely if only breeding species are considered.     

Carbon isotope excursions across the Permian-Triassic boundary in the Meishan section, Zhejiang Province, China

Both gradual and sharp decrease in organic and carbonate carbon isotope values were detected across the Permian-Triassic boundary in the Meishan section, Changxing, Zhejiang Province, China. The gradual decrease in organic carbon isotope values started at the bottom of Bed 23, coinciding with the strong oscillations of total organic carbon (TOC) contents, indicates increasing fluxes from carbonate to organic carbon reservoir during this interval. A 2.3‰ sharp drop of inorganic carbon isotope values occurred at the uppermost part of Bed 24e. A 3.7‰ sharp drop of organic carbon isotope values occurred in Bed 26. The dramatic drop of inorganic carbon isotope value of 8‰ reported previously is not confirmed from the unweathered carbonate samples in Bed 27. The large-scale fluctuation of organic carbon isotope values in the Yinkeng Formation reflects different extent of mixing of marine and terrestrial organic matters. The gradual depletion and subsequent sharp drop of carbon isotopes near the Permian-Triassic boundary might indicate complex causes of the end-Permian mass extinction.     

激光雷达对半干旱地区云层的观测

采用532 nm激光雷达在兰州的观测数据,根据计算得到的消光系数,分析了半干旱地区城区及乡村上层云的生消过程、云量分布、云的光学厚度.结果表明:半干旱地区云的分布有一定规律,中云春季所处的高度比冬季的高,厚度变化的振荡范围比高云的要大,平均光学厚度较高云的也略大.无论中云、高云,春季的厚度变化振荡范围都比冬季的要大.云形成的光学厚度占大气柱总光学厚度的比例为2.6%～99.3%,无明显的规律.订正模式需要进一步研究.     

吸收对对称性一维三元光子晶体能带的影响

利用复折射率及传输矩阵理论,研究了光子晶体的吸收对对称性一维三元光子晶体能带及透射峰的影响,研究表明:在反射波中,禁带的反射率随消光系数的增加而迅速降低,当k增加到0.005时,禁带边缘模糊,不存在明显的禁带;在透射波中,随着消光系数的增大,禁带边缘逐渐模糊,当k增加为0.003时,透射率降为0.35;光子晶体的消光系数对禁带内透射峰的透射率有着明显的影响,当k为0.001时,透射率下降到0.15,随着消光系数的增加,透射峰的半峰全宽随之增加,但对透射峰的中心波长没有影响.     

一类具有饱和发生率和心理作用的随机SIR传染病模型

考虑一类受环境噪声影响,具有饱和发生率和心理作用的随机SIR传染病模型.通过构造Lyapunov函数并利用It(o)公式,得到该模型正解的全局存在唯一性,并证明:当随机基本再生数R*≤1时,无病平衡点是随机渐近稳定的,此时疾病将灭绝;当R*＞1时,疾病将随机持续下去.数值模拟结果验证了理论结果的正确性.     

切换状态下随机SIQR模型

研究切换状态下具有饱和发病率的随机SIQR流行病模型,得到系统全局正解的存在唯一性和疾病灭绝的充分条件.通过构造合适的Lyapunov函数,证明系统解的正常返的存在性.最后,数值模拟验证了理论结果.     

带有Lévy跳的随机捕食-食饵系统动力学行为

研究带有Lévy跳的随机捕食-食饵模型的动力学行为.主要通过构造恰当的Lyapunov函数,使用It公式证明了系统全局正解的存在唯一性,给出了系统随机持久、灭绝的充分条件,通过数值模拟进一步说明了所得理论结果的正确性.