Evolutionary and ecological implications of cardenolide sequestration in the monarch butterfly

Summary Monarch butterflies sequester cardenolides from their larval host plants in the milkweed genusAsclepias for use in defense against predation. Of 108Asclepias species in North America, monarchs are known to feed as larvae on 27. Research on 11 of these has shown that monarchs sequester cardenolides most effectively, to an asymptote of approximately 350 g/0.1 g dry butterfly, from plants with intermediate cardenolide contents rather than from those with very high or very low cardenolide contents. SinceAsclepias host plant species are distributed widely in space and time across the continent, monarchs exploit them by migration between breeding and overwintering areas. After overwintering in central Mexico, spring migrants east of the Rocky Mountains exploit three predominantAsclepias species in the southern USA that have moderately high cardenolide contents. Monarchs sequester cardenolides very effectively from these species. First generation butterflies are thus well protected against predators and continue the migration north. Across the northern USA and southern Canada most summer breeding occurs on a fourthAsclepias species and in autumn most of these monarchs migrate back to Mexican overwintering sites. The ecological implications of this cycle of cardenolide sequestration for the evolution of monarch migration are discussed.     

一类捕食者——食饵模型的定性分析

本文对一类捕食者——食饵模型进行定性分析,得到了非平凡平衡点全局稳定性的条件和正平衡点周围存在唯一极限环的充分条件,并且本文给出了1个关于这类系统“大范围”极限环的存在唯一性定理。     

双轴等拉低周疲劳实验装置

本文给出能在一般单向加载液压疲劳试验机上做双轴等拉低周疲劳实验研究的双向拉伸装置,并对有关影响因素进行了讨论。 本试验是在百吨液压低周疲劳试验机上进行的。双向拉体装置已经受近百万次疲劳载荷,其中交变载荷幅围5.5,t亦经受近20万次。在使用过程,各构件完好合手使用要求,将十字试样进行低周疲劳断裂试验,成功地开出合格裂纹,用它进行超速条件下叶轮材料性能研究亦取得初步结果。可以认为它适用于平而应力集中问题低周疲劳性能的研究。若使用液压高、中周疲劳试验机,它还可用于双轴载荷下裂纹试样裂纹扩展的研究。 本文指出了双向拉伸装置有待改进的方面。     

Liénard方程极限环的电子计算机计算分析

本文提供了用电子计算机计算分析和绘制Ｌｉｅｎａｒｄ方程极限环的方法及其ＢＡＳＩＣ 语言程序,并利用此方法构造了具有三个极限环的两个Ｌｉｅｎａｒｄ方程,绘制了极限环 图形,指明了Ｃ．Ｃ．Ｐｕｇｈ猜想中极限环的存在性与特征函数的二阶导数Ｆ（Ｚ）的变号 有相当的关系。     

Juvenile hormone titre and regulation in the cockroachDiploptera punctata

Summary Titres of juvenile hormone (JH) have been determined in both hemolymph and whole body extracts of femaleDiploptera punctata during the first gonotrophic cycle using a method employing gas chromatography/mass spectrometry for qualitative and quantitative analysis. JH III is the sole JH found in both adult and last instarD. punctata. Maximum values of 1500 ng/ml (6M) were observed at the middle of the gonotrophic cycle, when basal oocyte growth rate was greatest. Changes in rates of JH release in vitro by corpora allata paralleled closely the changes in JH titre, suggesting that biosynthesis is a major regulator of titre. JH levels per animal were calculated from observed JH titres, and at certain time points in the gonotrophic cycle JH levels obtained from analysis of whole bodies were significantly greater than those predicted from hemolymph titres. These results suggest the existence of a nonhemolymph JH pool inD. punctata. Decay in JH titre after allatectomy of 5 day females has also been studied. Following a rapid initial decline, the rate of decay slowed appreciably 4 h post-operation. Thus, use of a first-order rate constant to estimate half-life of JH significantly underestimated the longevity of the hormone. The apparent persistence of JH following allatectomy may be due to the existence of a nonhemolymph JH pool.     

一类两种群竞争模型的定性分析

对两种竞争模型｛ｘ＝ｘ（ａ－ｂｘ－ｃｙ－ｋｘｙ）＝Δｘｆ１（ｘ,ｙ）;ｙ＝ｙ（ｅ－ｆｘ－ｇｙ－ｌｘｙ）＝Δｙｆ２（ｘ,ｙ）,的平衡点的全局稳定性和极限环的存在性作定性研究,得到了正平衡点全局稳定的充分条件,证明了该系统在第一象限内不存在极限环。     

一种使用非线性循环数列解决堆栈问题的算法

提出了一种使用非线性循环数列解决堆栈问题的算法,对研究栈的性质和求解栈的输出序列具有一定的实用价值。     

福州陶江中国淡水蛏Novaculina chinensis生殖周期的研究

采用活体性腺观察和组织切片法对福建闵候尚干陶江中国淡水蛏的生殖腺进行了初步研究,淡水蛏的性腺发育分为５期,增殖期,生长期,成熟期,排放期和休止期,一年只有一个繁殖周期,繁殖期为３月下旬至４月,雌雄异体,有雄性早熟现象,较晚期的卵母细胞和成熟卵子有双质核仁现象。     

具有不变锥面族的二次系统

本文研究了以二次锥面不变曲面的空间二次系统,给出了这类二次系统在锥面上极限环的不存在性,存在性,以及唯一性的条件。