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1.
一类含单奇点的极限环的三次系统   总被引:1,自引:0,他引:1  
盖平 《生物数学学报》2003,18(4):445-447
证明具体三次系统x=y-εy~3,y=x(1-x~2)+(α-x~2)y,当α≥1或0<α≤1/3时,在区域|y|<1/ε~(1/2)内无含单奇点的极限环,这里ε>0.  相似文献   

2.
一类KOLMOGOROV系统的极限环   总被引:7,自引:0,他引:7  
关于两种群互相作用的Kolmogorov模型 x=xF_1(x,y), y=yF_2(x,y),文〔1〕根据生态意义对F_1、F_2给出较多限制条件下作过研究,由于现实中总结出的模型归结到F_1、F_2为x和y的多项式的形式不少〔2,3〕,本文讨论一类Kolmogorov系统x=x(a_0+a_1x-a_3x~2+a_2y+a_4xy),y=y(x-1) (1)极限环的存在性和唯一性,其中x和y分别表示两种群的密度,参数a_0>o,a_3>o,a_1、a_2、a_4不定号,它们各表示一定的生态意义,随不同的取值范围而反映两种群的不同作用〔1〕。  相似文献   

3.
一类被开发的捕食系统的定性分析   总被引:11,自引:1,他引:10  
讨论了一类食饵种群被开发的两种群捕食系统: dx/dt=x(a0+a1x-a2x2-a3y3)-h0, dy/dt=y(x-1)其中a0>0,a2>0,a3>0,h0>0,a1不定号.文中主要讨论了系统平衡点的行为以及系统的稳定性.用Pioncare切性曲线法及Dulac函数法讨论闭轨不存在的充分条件;用Hopf分支方法及张芷芬唯一性定理证明了极限环的存在性与唯一性.同时对相应结论的生态学意义给予了说明.  相似文献   

4.
生化反应中一类三次系统的极限环   总被引:1,自引:0,他引:1  
研究生化反应中一类三次系统:dx/dt=-x-Ф1(x)+yФ2(x),dy/dt=a0+Ф1(x)-yФ2(x)其中Ф1(x)=Ax^3+ax^2+bx+B,Ф2(x)=cx^2+dx+e.较完整地解决了该系统极限环的存在性,唯一性与不存在性等问题.  相似文献   

5.
一类Holling功能性反应模型极限环的唯一性   总被引:3,自引:1,他引:2  
考虑功能性反应的捕食-食饵模型这里y表示捕食者种群的密度,当a-(22)≠0时它具有线性密度制约,x表示食饵种群密度,当φ(x)≡ax/(1+ωx)时称(1)为第二类功能性反应模型.文〔1〕研究了捕食者没有密度制约(对应于a_(22)=0)、食饵具有线性密度制约(对应于g(x)=b_1-a_(11)x)的Ⅱ类功能性反应模型(1),得到了极限环存在性及唯一性的完整结论.最近文〔2〕在a_(22)≠O的条件下讨论了系统(1),得到了极限环的存在性与不存在性等福建省自然科学基金和国家自然科学基金资助项目(19371069号).本文第一作者现为浙江大学访问学…  相似文献   

6.
功能反应函数为kxθ的食饵-捕食系统的定性分析   总被引:1,自引:0,他引:1  
杨柳 《生物数学学报》2007,22(3):441-446
研究了具功能反应的一类食饵-捕食系统:x=x(a—bx^m-h(x))(z))-kx^θY,y=Y(-e+dkx^θ)(0〈θ≤1)并得到了系统在正平衡点外围的极限环的不存在性与存在唯一性的相关条件.  相似文献   

7.
一类具功能反应的食饵-捕食者模型的定性分析   总被引:3,自引:0,他引:3  
对一类具功能反应的食饵-捕食者模型:x=xg(x)-yφ(x),y=y(-d+eφ(x))进行了研究,讨论了该系统平衡点的性态,系统无环的充分条件及正平衡点外围存在唯一稳定极限环的条件.  相似文献   

8.
一类具功能反应的食饵-捕食者两种群模型的定性分析   总被引:32,自引:4,他引:28  
对具功能反应的食饵-捕食者两种群模型x=xg(x)-y( )(x),y=y(-d+e( )(x)).在g(x)=α-baα,( )(x)=cxα(a,b,c>0,1/2≤α<1)且α使函数f(x)=x1/a在(-∞,+∞)上为偶函数时进行了研究,讨论了该系统平衡点的稳定性态,系统无环的充分条件以及在正平衡点外围存在惟一稳定极限环的条件.  相似文献   

9.
豆天蛾田间饲养量及效益研究   总被引:9,自引:0,他引:9  
通过对豆天蛾在田间笼罩条件下的饲养调查观察 ,测定出其幼虫食叶量、食叶率 ,从而计算出每平方米豆田的理论养虫量 ,实际适宜养虫量及对大豆产量损失的影响。笼罩条件养虫量 (x)与食叶率(y1)回归方程 :^y1=2 2 0 + 2 4 1x± 2 874 9,r1=0 9971 ;笼罩条件养虫量 (x)与产量损失率 (y2 )回归方程 :^y2 =1 5 7+ 0 4 2 5x± 0 6 837,r2 =0 994 6 ;笼罩条件养虫量 (x)与结荚损失率 (y3 )回归方程 :^y3 =1 5 7+ 0 33x± 1 785 4 ,r3 =0 94 6 8 。在幼虫饲养量为 1 0~ 1 5头 m2 时 ,综合效益比一般豆田每 6 6 7m2增收 4 73 6元以上。  相似文献   

10.
李肖叶甲成虫数量及三维空间格局动态   总被引:1,自引:0,他引:1  
对合肥地区李肖叶甲成虫数量动态及三维空间格局进行研究,结果表明该成虫5月下旬初见,6月4日至7月16日为发生高峰期,9月上旬仍有零星虫口。6月4日至9月10日种群增长模型为y=1692.2258e-0.0545t,6月4日至8月27日树冠上部部位增长模型为y=205.60e-0.0523t,树冠西部部位的增长模型为y=257.13e-0.0505t。样地中的李肖叶甲5月21日至8月13日半变异函数方程是y=0.0709x3-10.479x2+391.67x-300.71、y=-0.0122x3+1.1201x2-19.781x+317.84、y=-0.0013x3+0.1613x2-4.4862x+67.363、y=-0.0016x3+0.9177x2-11.495x+551.94、y=-0.0029x3+0.3034x2-7.5906x+103.37和y=-0.0002x3+0.0172x2-0.4975x+13.691,变程在20.3938—65.0289之间,均为聚集格局,聚集强度指标表明也均为聚集格局;树冠东、西、南、北方位的水平分布5月21日至8月13日的C值均大于1,I值均大于0,CA值均大于0,Iw值均大于1,为聚集格局;树冠上、中、下方位的垂直分布6月4日至8月13日的C值均大于1,I值均大于0,CA值均大于0,Iw值均大于1,为聚集格局;5月21日至8月13日的树冠东、南、西、北、上、中、下部位的C值均大于1,I值均大于0,CA值均大于0,Iw值均大于1,三维分布均为聚集格局。用Iwao公式计算的结果与聚集强度指标分析的结果一致。6月4日—8月13日林间李肖叶甲的种群聚集均数λ值均大于2,聚集是李肖叶甲本身的行为所致。  相似文献   

11.
通过对6种藓类植物,即褶叶青藓(Brachythecium salebrosum(Web.et Mohr.)B.S.G.)、湿地匐灯藓(Plagiomnium acutum(Lindb.)Kop.)、侧枝匐灯藓(Plagiomnium maximoviczii(Lindb.)Kop.)、大凤尾藓(Fissidensnobilis Griff.)、大羽藓(Thuidium cymbifolium(Doz.et Molk.)B.S.G.)和大灰藓(Hypnum plumaeforme Wils.)嫩茎和老茎的石蜡切片和显微观察发现,同一藓类植株的嫩茎和老茎,茎结构稳定,不同种藓类植物茎横切面具有不同特征.植物体茎横切面形状、表层细胞的层数、细胞大小和细胞壁厚薄、皮层细胞大小和形状、中轴的有无以及比例等特征可以作为藓类植物的分科分类依据之一.  相似文献   

12.
The levels of endogenous phytohormones and respiratory rate in nine sorts of flowers such as Cymbidium faberi Rolfe, Nopalxochia ackermannii Kunth and others were investigated both at full bloom and senescence and meanwhile the effect of exogenous phytohormones on prolonging the blossoms and promoting ethylene production were tested. There is a high content of endogenous ethylene in all the long-lived flowere, about 3–16 folds higer than the short-lived ones. There is a high level of ABA at full blooming flowers of short-lived flowers, in which there is no or only some cytokinins in it, but the ratio of CTK (6BA+zeatin)/ABA is smaller(l.7). The endogenous ABA reached a much higher level at senescence in all nine sorts of flowers, so it is reasonable to consider that it is ABA which plays an important role of regulation in controlling flower's senescence. There is a much higher level of GA3 and zeatin in the long-lived flowers which is not demonstrated in the shortlived ones. The respiratory rate is one of the factors controtling the longevity of flowers, but it does not play a decided role. Application of 6BA and zeatin prolongs distinctly orchid’s longevity, however exogenous IAA through the promotive action on ethylene production, evidently extends the longevity of the flowers of the Nopalxochia ackermannii Kunth.  相似文献   

13.
14.
Seed germination of an aurea mutant of tomato ( Lycopersicon esculentum Mill.) is promoted by continuous irradiation with red, far-red or long-wavelength far-red (758 nm) light as well as by cyclic irradiations (5 min red or 5 min far-red/25 min darkness). Far-red light applied immediately after each red does not change the germination behaviour. Seed germination of the isogenic wild-type, cv. UC-105, is promoted by continuous and cyclic red light while it is inhibited by continuous and cyclic far-red light and by continious 758 nm irradiation. Far-red irradiation reverses almost completely the promoting effect of red light. The promoting effect (in the aurea mutant) and the inhibitory effect (in the wild-type) of continuous far-red light do not show photon fluence rate dependency above 20 nmol m−2 s−1. It is concluded that phytochrome controls tomato seed germination throgh low energy responses in both the wild type and the au mutant. The promoting effect of continuous and cyclic far-red light in the au mutant can be attributed to a greater sensitivity to Pfr.  相似文献   

15.
真菌类遗传学分析的知识结构教学   总被引:5,自引:2,他引:3  
罗桂花 《遗传》2002,24(3):349-350
本文以认知结构理论为指导,讨论了真菌类遗传分析与高等动植物遗传分析的内在联系,认为利用这种内在联系进行教学可收到好的效果并说明了作者的具体教学过程。 Abstract:In the paper, the relationship between genetic analysis of Fungi and genetic analysis of high animal and plant was discussed.A good results were obtained when we adopted this method in the teaching.  相似文献   

16.
龙胆科药用植物化学成分的研究现状   总被引:16,自引:0,他引:16  
龙胆科植物在我国的分布范围很广,且多数为药用植物,其多数种属的药用植物,至今其化学成分尚未被系统研究。综述了目前龙胆科药用植物的化学成分的研究现状及一般提取方法,对近年来发现的环烯醚萜及裂环烯醚萜类化合物进行了总结,为本科药用植物的更深入研究提供了参考。  相似文献   

17.
Summary Embryogenic tissues of sugi (Cryptomeria japonica) were induced on a modified Campbell and Durzan (CD) medium containing 1 μM 2,4-dichlorophenoxyacetic acid (2,4-D) and 600 mg l−1 glutamine, and subcultured in the medium of the same composition for over 1 yr. This resulted in a mixed culture of embryogenic and non-embryogenic cells. When embryogenic cells were isolated and cultured independently, their capacity to form embryogenic aggregates was lost. Thus, the non-embryogenic cells present within a mixed culture system were essential to the formation of embryogenic aggregates. When embryogenic tissues were isolated and cultured independently on a high glutamine-containing (2400 mg l−1) medium, dry weights and endogenous levels of glutamine increased, and the tissue could generate a large number of embryogenic aggregates. Amino acid analysis of embryogenic and non-embryogenic cells from the maintenance culture indicated a higher level of glutamine was present in the latter. The high endogenous level of glutamine in the non-embryogenic portion of mixed cell masses may be the supplier of glutamine for maintaining the embryogenic property of the tissues.  相似文献   

18.
The review deals with study of enzymologic properties of a novel highly specific acetylcholinesterase substrate, N-(β-acetoxyethyl) piperidinium iodomethylate (“piperidylcholine”), and its 30 derivatives that were tested as effectors of cholinesterases of mammals and various species of Pacific squids. It was proven for the first time that responsible for specificity of action was structure of cyclic ammonium grouping of the alcohol part of molecule of the ester substrate. Analysis of specificity is performed based on enzymatic hydrolysis parameters—activity of catalytic center of cholinesterases and bimolecular constant of the reaction rate that are determined at optimal and low substrate concentrations. Among the specially synthesized group of thioester compounds there is revealed one more highly specific acetylcholinesterase substrate—N-(β-acetoxyethyl) piperidinium.  相似文献   

19.
Summary Anthers were cultured from two sets of seven lines of hexaploid wheat (Triticum aestivum L.) with different cytoplasms, the euplasmic nucleus donors, Siete Cerros 66 and Penjamo 62, as well as their six alloplasmic lines derived from wild relative species of the genera Triticum and Aegilops. Significant cytoplasmic and nuclear effects but no cytoplasmic-nuclear interaction were found for embryogenic anther response, with the best performance of Penjamo 62 in Ae. kotschyi cytoplasm. Plant regeneration was not affected significantly by the cytoplasmic background of the lines cultured. The possible genetic implications of the observed cytoplasmic and nuclear influences on the in vitro haploid induction of wheat are discussed.  相似文献   

20.
A complex analysis of seasonal fluctuations of the mean group parameters of the system of regulation of lipid peroxidation has been performed in liver of Balb/c mice. Association of lipid characteristics and morphophysiological parameters is studied in the Balb/c mouse liver. An inter-connection is revealed between the liver index and the amount of lysoforms of phospholipids, the scale and character of the interconnection differing essentially depending on proportion of phos-phatidylcholine in mouse liver phospholipids.  相似文献   

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