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Firstly, The sufficient con-ditions of the existence and uniquity of the positive equlibria by applying functional derivative isobtained; Secondly, the global attractability of the positive equlibria is investigated by charateristicroots theory and oscillation theory; Thirdly, regarding the delay as a parameter, conditions of theexistence of Hopf bifurcation and the peridic solution, furthermore, the form of the approximateperidic solution are obtained; Finally, Some specific examples are given and the solution diagrameappears by Matlab.

首先利用导数性质,得到了该模型正平衡态存在惟一性的充分条件;其次,利用特征值和振动性理论得到了该模型正平衡态全局渐近稳定性充分条件;然后,应用Hopf分支理论证明了该模型Hopf分支及近似分支周期解的存在性,并给出了周期解的近似表达式;最后,借助于MATLAB数学软件,举例并绘出了模型数值解的拟合图象,验证了文中定理条件的可行性。

Recently, Thellungiella halophila, a close-relative ofArabidopsis thaliana, which is been suggested and be developed as a new salttolerance model plant. Thellungiella halophila is a salt-tolerance crucifer with a shortlife cycle, small genome, and with high sequence similarity(about 90-95% on cDNAlevel), similar heredity characteristics and growth habits with Arabidopsis thaliana.So it is convenience for T. halophila to benefit from a lot of Arabidopsis thalianainformation data.

最近,另一个盐生植物盐芥被提议为研究植物耐盐性的模式系统,它是拟南芥的近缘,为生长周期短、基因组较小、耐盐性较强的十字花科的盐生植物;在cDNA水平上与拟南芥有大约90-95%的同源性,因此,可以方便地将拟南芥的很多信息移至盐芥耐盐性的分子生物学研究;而且,盐芥具有拟南芥很多同样的优点以作为实验系统。

Periodic length and interface roughness of Mo/Si multilayers were determined by small angle X-ray diffraction.

Mo/Si多层膜的周期厚度和界面粗糙度由小角X射线衍射曲线拟和得到。

It introduces normal families, including equicontinuity, Arzela's theorem, Montel's and Marty's theorems, Zalcman's lemma; univalent functions, including Koebe's and de Branges' theorems; quasiconformal mappings, including conformal length, extremal length, geometric, analytic and metric definitions, quasiconformal extension, distortion theorem, quasicircle; iteration of rational functions, including fixed points, the Fatou and Julia sets, periodic points, Siegel disks, the Hausdorff measure and dimension, etc.

具体为:正规族,包括等度连续性、Arzela定理、Montel和Marty正规定则、Zalcman引理;单叶函数,包括Koebe定理和de Branges定理;拟共形映照,包括共形模、极值长度、几何、分析和距离定义、拟共形延拓、偏差定理,拟圆周等;有理函数的迭代,包括不动点、Fatou集和Julia集、周期点、Siegel盘、Hausdorff测度和维数,等等。在教学内容上充分体现综合性、前沿性。

Up to date,many detailed researches on photoperiodic control of flowering time have been clear-cut in long-day model plant Arabidopsis thaliana.

光周期诱导植物开花的现象在被子植物中广泛存在,目前对长日照的模式植物拟南芥的光周期控制开花时间的研究较为详尽,而近年来,许多研究表明不同的植物间光周期控制开花反应具有很大的保守性。

Terminal A is positive with respect to B for 0>ωt>π, and B is positive with respect to A for π>ωt>2π for the first cycle of the sine function.

拟译:在正弦函数的第一个周期,当0>ωt>π时,端点A相对B为正,而当π>ωt>2π时,端点B相对A为正。

It is possible that one of gene was derived from another gene in the same group by segmental duplications of chromosome.

通过对水稻细胞周期关键调节基因的系统进化树和蛋白质结构分析发现,在水稻和拟南芥中细胞周期关键调节基因之间是非常保守的。

The effect of fitting and forecast are very good, and the result that analyses the period of sunspot is appropriate.

用此模型进行数据拟合回代,分析和预测,表明该模型的拟合,预测效果是好的,所分析的太阳黑子周期是恰当的。

The results showed that the quantities of plant parasitic nematodes of Aphelenchoides and Aphelenchus increased at a speed of geometric order after one growing season,which indicated that the two kinds of nematodes had highly potential risk.

研究结果表明栽培前种球内的优势植物线虫——拟滑刃属和滑刃属线虫数量在百合一个生长周期结束后均以几何级数的速率增长;栽培前检出数量极少的垫刃属线虫,生长周期结束后却大量出现;栽培前少量检出的短体属、矮化属、根结属、丝尾垫刃属和伪垫刃属的线虫,周期结束后,均未再检测到。

The year trend of cotton aphid could be simulated with a three cubed polynomial. Furthermore, Cotton's year periodicity could be divided into two periodicities, front 55 d first periodicity, the other latter 128 d, and a new periodicity's function was also given with new phase angle.

棉蚜种群数量的趋势性曲线可以用一个多项式来拟合;棉蚜的在一年之内的周期可以分为两段:前55d可看作一个周期,后128d可看作一个周期,并根据周期相角重新给出棉蚜种群数量的周期函数。

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