標(biāo)題: Titlebook: An Introduction to Delay Differential Equations with Applications to the Life Sciences; Hal Smith Textbook 2011 Springer Science+Business [打印本頁(yè)] 作者: COAX 時(shí)間: 2025-3-21 19:39
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書(shū)目名稱An Introduction to Delay Differential Equations with Applications to the Life Sciences讀者反饋
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作者: 剛毅 時(shí)間: 2025-3-22 00:15
Delayed Negative Feedback: A Warm-Up,n.We use it to illustrate features common to delay differential equations, such as the tendency of delays to give rise to oscillations that can become undamped if delays are large.The obstructions to solving delay differential equations backwards in time are readily appreciated for this simple equat作者: indigenous 時(shí)間: 2025-3-22 03:45 作者: 粗魯?shù)娜?nbsp; 時(shí)間: 2025-3-22 05:06
Linear Systems and Linearization, the system about the equilibrium and to determine exponential rates of growth and decay for the associated linear system. The framework for carrying this out is taken up in this chapter. Although the method is similar to that for ODEs, the characteristic equation is more complicated, typically havi作者: 泛濫 時(shí)間: 2025-3-22 09:45
Semidynamical Systems and Delay Equations,nterval. Omega limit sets are defined and shown to have the same properties as for ODEs, with minor exceptions, although they are subsets of C. The dynamics of the delayed logistic equation and the chemostat model are treated in detail. A special class of delay equations is shown to generate monoton作者: 易于交談 時(shí)間: 2025-3-22 16:34 作者: GRIN 時(shí)間: 2025-3-22 20:23
Distributed Delay Equations and the Linear Chain Trick,w and from the point of view of mathematical tractability. A distributed delay is arguably more likely to capture reality than a discrete one. The special class of systems treated here has the feature that by introducing additional components it can be reduced to a system of ODEs. In particular, lin作者: nascent 時(shí)間: 2025-3-22 23:26
Phage and Bacteria in a Chemostat,e assumption of a fixed latent period for virus inside the infected cell. The main biological issues addressed are the persistence and extinction of bacteria and of bacteriophage(phage). From a mathematical perspective, we focus on bifurcation of equilibria and Hopf bifurcation from the coexistence 作者: CON 時(shí)間: 2025-3-23 02:45
Introduction,ntial student projects. The reader should feel free to pick and choose to which of these to devote attention. Following this, some terminology is introduced and the reader is pointed to various computer software designed specifically for delay differential equations.作者: Acumen 時(shí)間: 2025-3-23 06:18 作者: Substitution 時(shí)間: 2025-3-23 10:01
Existence of Solutions,me. Applications to biology require that solutions that start positive, stay positive in the future. Differential inequalities involving delays are important tools with which to bound solutions. All these topics are taken up here, including basic stability definitions作者: 呼吸 時(shí)間: 2025-3-23 16:31
Semidynamical Systems and Delay Equations,e dynamics; solutions converge to equilibrium. Liapunov functions and the LaSalle invariance principle areused to study the dynamics of a delayed logistic equation with both instantaneousand delayed density dependence作者: Pantry 時(shí)間: 2025-3-23 19:57 作者: 民間傳說(shuō) 時(shí)間: 2025-3-24 01:44
Textbook 2011who have a reasonable background in ordinary differential equations and who would like to get to the applications quickly.The author has used preliminary notes in teaching such a course at Arizona State University over the past two years.This book focuses on the key tools necessary to understand the作者: 雄辯 時(shí)間: 2025-3-24 05:18
0939-2475 exercises and illustrations.Includes supplementary materialThis book is intended to be an introduction to Delay Differential Equations for upper level undergraduates or beginning graduate mathematics students who have a reasonable background in ordinary differential equations and who would like to 作者: ATOPY 時(shí)間: 2025-3-24 08:34 作者: 碎石頭 時(shí)間: 2025-3-24 12:26 作者: 不可救藥 時(shí)間: 2025-3-24 16:03
https://doi.org/10.1007/978-3-322-84159-9ntial student projects. The reader should feel free to pick and choose to which of these to devote attention. Following this, some terminology is introduced and the reader is pointed to various computer software designed specifically for delay differential equations.作者: ALIBI 時(shí)間: 2025-3-24 19:33 作者: Corporeal 時(shí)間: 2025-3-25 03:01
https://doi.org/10.1007/978-3-322-84159-9me. Applications to biology require that solutions that start positive, stay positive in the future. Differential inequalities involving delays are important tools with which to bound solutions. All these topics are taken up here, including basic stability definitions作者: seroma 時(shí)間: 2025-3-25 05:34 作者: 說(shuō)不出 時(shí)間: 2025-3-25 10:39
Zwischen opus perfectum und work in progressness and take for granted the validity of linearized stability for these systems. Instead we compare the stability of a distributed delay and a discrete delay in the simplest linear delayed negative feedback equation, showing that distributed delays enhance stability. An example of an HIV transmission model is treated.作者: Chipmunk 時(shí)間: 2025-3-25 15:42 作者: expository 時(shí)間: 2025-3-25 17:49
0939-2475 al models involving delay differential equations. The book begins with a survey of mathematical models involving delay equations.978-1-4614-2697-4978-1-4419-7646-8Series ISSN 0939-2475 Series E-ISSN 2196-9949 作者: 休閑 時(shí)間: 2025-3-25 22:54 作者: 食物 時(shí)間: 2025-3-26 02:54 作者: 過(guò)度 時(shí)間: 2025-3-26 05:46 作者: 借喻 時(shí)間: 2025-3-26 11:44
An Introduction to Delay Differential Equations with Applications to the Life Sciences978-1-4419-7646-8Series ISSN 0939-2475 Series E-ISSN 2196-9949 作者: 圓木可阻礙 時(shí)間: 2025-3-26 14:56 作者: Insufficient 時(shí)間: 2025-3-26 18:12
https://doi.org/10.1007/978-1-4419-7646-8Delay differential equations; functional differential equations; time delay; partial differential equat作者: 排他 時(shí)間: 2025-3-26 21:15 作者: 小平面 時(shí)間: 2025-3-27 04:41
Phage and Bacteria in a Chemostat,e assumption of a fixed latent period for virus inside the infected cell. The main biological issues addressed are the persistence and extinction of bacteria and of bacteriophage(phage). From a mathematical perspective, we focus on bifurcation of equilibria and Hopf bifurcation from the coexistence equilibrium.作者: 尾巴 時(shí)間: 2025-3-27 08:30
Hal SmithFocuses on key tools to understand delay equations.Begins with a survey of mathematical models involving delay equations.Wealth of examples, exercises and illustrations.Includes supplementary material作者: Synovial-Fluid 時(shí)間: 2025-3-27 11:42 作者: wangle 時(shí)間: 2025-3-27 16:38
https://doi.org/10.1007/978-3-322-84159-9 application area, in order to motivate our study of delay differential equations. These range from models in population biology, physiology, epidemiology, economics,and neural networks, to control of mechanical systems. Some of these are treated in detail later in the text; others can serve as pote作者: Presbycusis 時(shí)間: 2025-3-27 21:40 作者: 敏捷 時(shí)間: 2025-3-27 23:43
https://doi.org/10.1007/978-3-322-84159-9ts. More general delay equations require a more general framework for existence and uniqueness.This includes some peculiar notation endemic to the subject and the identification of the appropriate state space for delay equations. Solutions either extend to the entire half–line or blowup in finite ti作者: FLASK 時(shí)間: 2025-3-28 06:05
https://doi.org/10.1007/978-3-663-01721-9 the system about the equilibrium and to determine exponential rates of growth and decay for the associated linear system. The framework for carrying this out is taken up in this chapter. Although the method is similar to that for ODEs, the characteristic equation is more complicated, typically havi作者: 禁令 時(shí)間: 2025-3-28 07:18 作者: 隱語(yǔ) 時(shí)間: 2025-3-28 10:28
Wiederer?ffnung der Stadthalle Wuppertalously establishing the existence of periodic solutions. We begin with an example where the bifurcation can be easily calculated in order to show key features of a Hopf bifurcation.Then the theorem is stated without proof along with a discussion of the stability properties of bifurcating periodic sol作者: 小母馬 時(shí)間: 2025-3-28 14:53 作者: seroma 時(shí)間: 2025-3-28 22:09 作者: 江湖騙子 時(shí)間: 2025-3-29 02:16
