3 edition of **Integrodifferential equations and delay models in population dynamics** found in the catalog.

Integrodifferential equations and delay models in population dynamics

J. M. Cushing

- 275 Want to read
- 12 Currently reading

Published
**1977**
by Springer-Verlag in Berlin, New York
.

Written in English

- Ecology -- Mathematical models.,
- Integro-differential equations.,
- Delay differential equations.

**Edition Notes**

Bibliography: p. [191]-196.

Statement | J.M. Cushing. |

Series | Lecture notes in biomathematics ;, 20 |

Classifications | |
---|---|

LC Classifications | QH541.15.M3 C87 |

The Physical Object | |

Pagination | 196 p. : |

Number of Pages | 196 |

ID Numbers | |

Open Library | OL4549063M |

ISBN 10 | 0387084495 |

LC Control Number | 77017425 |

Delay Differential Equations: With Applications in Population Dynamics - Ebook written by Yang Kuang. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read Delay Differential Equations: With Applications in Population Dynamics. [9] J. M. Cushing, Integrodifferential equations and delay models in population dynamics, Springer-Verlag, New York () View Article; MathSciNet; Google Scholar; MATH [10] S. Gan, Dissipativity of $\theta$-methods for nonlinear Volterra delay-integro-differential equations.

Delay Differential Equations emphasizes the global analysis of full nonlinear equations or systems. The book treats both autonomous and nonautonomous systems with various delays. Key topics addressed are the possible delay influence on the dynamics of the system, such as stability switching as time delay increases, the long time coexistence of. Stability and Oscillations in Delay Differential Equations of Population Dynamics (Mathematics and Its Applications) nd Edition by K. Gopalsamy (Author) › Visit Amazon's K. Gopalsamy Page. Find all the books, read about the author, and more. See search.

Integrodifferential Equations and Delay Models in Population Dynamics, Lecture Notes in Biomathemat Springer, Berlin Heidelberg New York, originally published in and reprinted in , ISBN 4. This study proposes a delay-coupled system based on the logistic equation that models the interaction of a population with its varying environment. The integro-diferential equations of the model are presented in terms of a distributed time-delayed coupled logistic-capacity equation. The model eliminates the need for a prior knowledge of the maximum saturation .

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Integrodifferential Equations and Delay Models in Population Dynamics by J. Cushing,available at Book Depository with free delivery worldwide. These notes are, for the most part, the result of a course I taught at the University of Arizona during the Spring of Their main purpose is to inves tigate the effect that delays (of Volterra integral type) have when placed in the differential models of mathematical ecology, as far as stability of equilibria and the nature of oscillations of species densities are concerned.

Integrodifferential Equations and Delay Models in Population Dynamics. Authors (view affiliations) Jim M. Cushing; Book. have when placed in the differential models of mathematical ecology, as far as stability of equilibria and the nature of oscillations of species densities are concerned.

Biomathematik Equations Funktional. - Buy Integro-Differential Equations and Delay Models in Population Dynamics (Lecture Notes in Biomathematics: 20) book online at best prices in India on Read Integro-Differential Equations and Delay Models in Population Dynamics (Lecture Notes in Biomathematics: 20) book reviews & author details and more at Author: C.

Cushing. Integrodifferential equations and delay models in population dynamics [] Cushing, J. (James M.) Access the full textCited by: Integrodifferential equations appear quite early in the mathematical development of theoretical population dynamics in the pioneering work of such mathematicians as.

This monograph provides a definitive overview of recent advances in the stability and oscillation of autonomous delay differential equations.

Topics include linear and nonlinear delay and integrodifferential equations, which have potential applications to both biological and physical dynamic processes.

Chapter 1 deals with an analysis of the dynamical characteristics of the delay. Qualitative analyses of both competitive and cooperative systems with time delays feature in both Chapters 3 and 4. Finally, Chapter 5 deals with recent developments in models of neutral differential equations and their applications to population dynamics.

Much of this early work involving integrodifferential equations in population dynamics can be found in the recent collection of papers edited by Scudo and Ziegler (). Bifurcation of periodic solutions of integrodifferential systems with applications to time delay models in population dynamics, SIAM J.

Appl. Math. 33 Buy this book on. Download this complete Project material titled; Mathematical Model On Human Population Dynamics Using Delay Differential Equation with abstract, chaptersreferences, and questionnaire. Preview Abstract or chapter one below Format: PDF. A Fredholm alternative is proved for a general linear system of Stieltjes integrodifferential equations.

This result is used to derive necessary and sufficient conditions for the bifurcation of nontrivial periodic solutions of a nonlinear perturbation of the system containing n parameters. The results are applied to several models from mathematical ecology which describe the dynamics.

2 Predator-Prey Models with Density Terms.- Predator-Prey Models with Response Delays to Resource Limitation.- Stability and Vegetation-Herbivore-Carnivore Systems.- Some Other Delay Predator-Prey Models.- The Stabilization of Predator-Prey Interactions.- A General Predator-Prey Model.- Competition and Mutualism.- Integro-Differential Equations and Delay Models in Population Dynamics (Lecture Notes in Biomathematics: 20) by C.

Cushing (Author) ISBN ISBN Why is ISBN important. ISBN. This bar-code number lets you verify that you're getting exactly the right version or edition of a book. Short Title: Geometric Stability Switch Criteria Keywords: delay di#erential equations, stability switch, characteristic equations, stage structure, population models AMS(MOS) Subject.

Get this from a library. Integrodifferential Equations and Delay Models in Population Dynamics. [Jim M Cushing] -- These notes are, for the most part, the result of a course I taught at the University of Arizona during the Spring of Their main purpose is to inves tigate the effect that delays (of Volterra.

Integrodifferential Equations and Delay Models in Population Dynamics, Lecture Notes in Biomathematics, 20, Springer-Verlag, Berlin/New York () Google Scholar 6. Nisbet and Gurney remarks that in their () paper with Lawton “that if the life history of an insect involved developmental stages of arbitrary duration, then the normal integro-differential equation describing a population with over lapping generations reduced to a set of coupled ordinary delay-differential equations, provided only that.

applied delay differential equations Download applied delay differential equations or read online books in PDF, EPUB, Tuebl, and Mobi Format. Click Download or Read Online button to get applied delay differential equations book now.

This site is like a library, Use search box in the widget to get ebook that you want. INTRODUCTION One of the integrodifferential equations proposed to model the dynamics of a single species with negative feedback due to crowding and accumulation of toxic effects in the environment is the form [ f ] dx(t) = x(t) a - x(t) - b K(t - s)x(s) ds t > o, () dt co ' in which a e (0, co), b e (0, co); K: [0, co) ~ [0, co) satisfies.

In special cases, stochastic delay differential equations (SDDEs) and stochastic delay integro-differential equations (SDIDEs) are a type of stochastic differential equations (SDEs), which has been discussed in a variety of sciences such as the mathematical model [], economy [], infectious diseases [], and population dynamics [].With the development of.

Buy Stability and Oscillations in Delay Differential Equations of Population Dynamics (Mathematics and Its Applications) Softcover reprint of hardcover 1st ed. by K. Gopalsamy (ISBN: ) from Amazon's Book Store. Everyday low .An integro-differential reaction-diffusion equation is proposed as a model for populations where local aggregation is advantageous but intraspecific competition increases as global populations increase.

It is claimed that this is inherently more realistic than the usual kind of reaction-diffusion model for mobile populations. Three kinds of bifurcation from the uniform steady-state solution.S. Ruan, On nonlinear dynamics of predator–prey models with discrete delay, Math.

Model. Nat. Phenom. 4(2) () – Crossref, ISI, Google Scholar; M. Türkyılmazoğlu, An effective approach for numerical solutions of high-order Fredholm integro-differential equations, Appl.

Math. Comput. () –