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We explicitly derive a domain of attraction for the positive equilibrium of system by using Liapunov method. We also investigate Hopf bifurcation by using Hassard method. Finally, some numerical simulations are made for system.Our paper are separated into seven chapters.

本文对一类具时滞和比率依赖的HollingⅢ型捕食-食饵系统进行了研究,利用Liapunov方法精确估计了正平衡点的吸引域,并利用Hassard方法研究了系统的Hopf分支,最后本文对一个具体模型进行了数值模拟。

The first part presents develops of predator-prey systems and gives the model that is investigated in our paper; Chapter 2 presents the results on boundedness of solutions and permanence of system; In chapter 3, we explicitly derive a domain of attraction for the positive equilibrium of system by using Liapunov method; The local stability and the conditions that Hopf bifurcation occurs are obtained in chapter 4; In chapter 5, some explicit fomulae of the direction of Hopf bifurcation and the stability of bifurcating periodic solutions on the center manifold are determined,using normal form and center manifold introduced by Hassard et al; In chapter 6, some numerical simulations are performed to illustrate the analytical results found; Our paper ends with a brief conclusion.

全文共分七章,第1章对捕食-食饵系统的发展背景做了介绍并给出了本文研究的模型;第2章讨论了系统的保持性和解的有界性;第3章研究正平衡点的全局性质,对正平衡点的吸引域进行了精确估计;第4章研究了系统的正平衡点的局部稳定性和Hopf分支存在的条件;第5章利用规范型和中心流形定理得到了一个决定Hopf分支方向、分支周期解的稳定性及其他性质的精确公式;第6章对一个具体模型进行了数值模拟;第7章对全文进行了总结。

Using the spectrum decomposition technique by discrete Fourier transform in short window a-chieves the object using imaging feature of tuning amplitude in frequency domain to study the regularity of lateral variation in reservoir and fully dig up seismic resolution capability in dominant-high frequencies of seismic data.

采用短时窗离散傅里叶变换的频谱分解技术,实现了在频率域内通过调谐振幅的成像特征来研究储层横向变化规律的目标,最大限度地挖掘了地震资料主频至高频端的地震分辨能力。

To be specific, its generalized characteristic polynomial has positive double roots, which we proved further has only a double, root by using the affine transformation and inverse affine transformation, his easy to detect interference accurately between two ellipses using NFB analytic equation.

根据该解析方程不仅可以直接对任意两个椭圆之间的干涉性做出精确判断,并且可由此绘出NFB的轨迹图,同时使用可视化方法给出了快速粗略的判断。

Postfix Virtual MailBox ClamSmtp Howto will teach you howto setup a Virtual mailboxes using non-linux accounts where each user will authenticate using their e-mail address with Dovecot POP3/IMAP server and ClamSMTP Antivirus to filter both incoming and out going mails for known viruses.

Postfix 虚拟邮箱和病毒过滤指南将告诉你如何设置通过非linux帐户来验证的虚拟邮箱,它使用e-mail地址及Dovecot POP3/IMAP 服务器执行验证。以及如何使用 ClamSMTP 反病毒软件来过滤接收及发送邮件中的已知病毒。

According on the fault mechanism of driving parts of bear box, and using the multi-resolution feature and time-frequency localization feature of wavelet transform, the fault feature signals are extracted. Besides, the noise interference is eliminated by using available noise eliminating method.

根据齿轮箱传动部件故障机理,利用小波变换多分辨率特性和时频局部化特性,提取出故障特征信号;并利用有效的消噪技术,去除噪声干扰。

The method of interpreting parameters using production logging data of early shut-in period is constructed on the basis of the Duhamel's principle, the feasibility and reliability of this method are analyzed on the basis of the interpretation results using field data.

文中利用杜哈美原理建立了用生产测井资料解释地层参数的方法,用实测资料的解释结果对本文方法进行了分析。

By using hexagonal mesostructured template, metal Cu nanowires with diameter of 7 nm were derived and by using body-centered mesostructured template, Cu nanoparticles with dumbbell-like morphology were obtained.

以六方孔道结构的介孔氧化硅模板获得了直径为 7nm的金属铜纳米线阵列;以笼状体心立方孔道结构的模板获得了具有哑铃状形貌的铜单质纳米颗粒。

By using hexagonal mesostructured template, metal Cu nanowires with diameter of 7nm were derived and by using body-centered mesostructured template, Cu nanoparticles with dumbbell-like morphology were obtained.

以六方孔道结构的介孔氧化硅模板获得了直径为7nm的金属铜纳米线阵列;以笼状体心立方孔道结构的范本获得了具有哑铃状形貌的铜单质纳米颗粒。

From the indicators such as adult eclosion rate and wing length of male and female guide line,the effects of using artificial feeding and using midway host were identical.

从花绒穴甲子代成虫的羽化率、雌雄鞘翅长等项指标看,用人工饲料饲养和用中间寄主饲养的结果基本相同。

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Using Our Feet
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Without Using Hands
推荐网络例句

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm~150rpm时取得最大值,此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世,形体几无变化。

When I was in school, the rabbi explained everythingin the Bible two different ways.

当我上学的时候,老师解释《圣经》用两种不同的方法。