Multiple attractors in a Leslie–Gower competition system with Allee effects

We investigate asymptotic dynamics of the classical Leslie–Gower competition model when both competing populations are subject to Allee effects. The system may possess four interior steady states. It is proved that for certain parameter regimes both competing populations may either go extinct, coexist or one population drives the other population to extinction depending on initial conditions.     

Permanence and global attractivity of an impulsive delay Logistic model

In this paper, we consider an impulsive delay Logistic model. First by mathematical analysis, we obtain the maximum and minimum values of solutions of the corresponding autonomous Logistic model. Then by applying the comparison theorem and constructing some suitable Lyapunov functionals, we discuss the permanence and the global attractivity of the model, based on the boundedness of solutions of the corresponding autonomous Logistic model. An example together with its numerical simulation is given to verify our main result.     

从原子到大分子体系的计算机模拟——计算化学50年

本文综述并修订了从20世纪50年代末至今,我们在计算化学领域所做的一些有意义的工作。序言部分把我们的工作置于当代科学的背景之下。然后我们以一种经典的基准测试体系——一种新的单粒子表象（即替代传统的原子和分子自旋轨道的化学自旋轨道）所构建的氢分子（H2）波函数——作为开始。用Hartree-Fock-Heitler-Lo...     

亲水作用色谱法测定组织中全基因组DNA甲基化水平

建立了亲水作用色谱(HILIC)测定组织中全基因组DNA甲基化水平的方法。采用苯酚-氯仿提取组织中的DNA,提取的DNA用88%甲酸在140 ℃下裂解,经N2吹干后,加乙腈-水(9:1, v/v)溶解,用Waters BEH HILIC柱进行分离,在277 nm波长下检测胞嘧啶(Cyt)及5-甲基胞嘧啶(5-mCyt)含量。结果表明,以乙腈-10 mmol/L甲酸铵溶液(94:6, v/v)为流动相,流速为0.5 mL/min, Cyt与5-mCyt分离较好,保留时间分别为2.6与3.1 min。胞嘧啶的线性范围为1～900 μmol/L,相关系数为0.9999; 5-甲基胞嘧啶的线性范围为1～64 μmol/L,相关系数为0.9998。胞嘧啶和5-甲基胞嘧啶的检出限为54 nmol/L(柱中为0.54 pmol),定量限为250 nmol/L(柱中为2.5 pmol);在5～900 μmol/L的添加水平下,胞嘧啶和5-甲基胞嘧啶的平均加标回收率为94.7%～100.5%,相对标准偏差小于1.48%。用该方法检测了结肠癌组织中DNA甲基化水平,结果显示该癌组织中全基因组的DNA甲基化均值为4.0%。该方法快速、简单,稳定性好,灵敏度较高,能满足全基因组DNA甲基化的检测要求。     

基于SIFT匹配的全局运动估计方法

提出了一种基于SIFT(Scale invariant feature transform)匹配的全局运动估计算法.在SIFT初匹配的基础上,对每一个原始匹配特征点,利用所在尺度的邻域灰度信息,对其加权平均后再进行匹配,进而去除误配点.精炼后的匹配点集合作为求解全局运动参数模型的对应数据,采用最小二乘法计算模型参数.在...     

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.     

无约束优化的一个充分下降共轭梯度算法

在修正PRP共轭梯度法的基础上,提出了求解无约束优化问题的一个充分下降共轭梯度算法,证明了算法在Wolfe线搜索下全局收敛,并用数值实验表明该算法具有较好的数值结果.     

Partial extinction,permanence and global attractivity in nonautonomous <Emphasis Type="Italic">n</Emphasis>-species Lotka-Volterra competitive systems with impulses

In this paper, the qualitative properties of general nonautonomous Lotka-Volterra n-species competitive systems with impulsive effects are studied. Some new criteria on the permanence, extinction and global attractivity of partial species are established by used the methods of inequalities estimate and Liapunov functions. As applications, nonautonomous two species Lotka-Volterra systems with impulses are discussed.