4 edition of **Differential equations and applications in ecology, epidemics, and population problems** found in the catalog.

Differential equations and applications in ecology, epidemics, and population problems

Conference on Differential Equations and Applications in Ecology, Epidemics, and Population Problems (1981 Claremont, Calif.)

- 355 Want to read
- 12 Currently reading

Published
**1981** by Academic Press in New York .

Written in English

- Population biology -- Mathematics -- Congresses.,
- Ecology -- Mathematics -- Congresses.,
- Epidemics -- Mathematics -- Congresses.,
- Differential equations -- Congresses.

**Edition Notes**

Includes bibliographical references and index.

Statement | edited by Stavros N. Busenberg, Kenneth L. Cooke. |

Contributions | Busenberg, Stavros N., Cooke, Kenneth L. |

Classifications | |
---|---|

LC Classifications | QH352 .C66 1981 |

The Physical Object | |

Pagination | xv, 359 p. : |

Number of Pages | 359 |

ID Numbers | |

Open Library | OL4268836M |

ISBN 10 | 0121483606 |

LC Control Number | 81014897 |

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Differential Equations and Applications in Ecology, Epidemics, and Population Problems is composed of papers and abstracts presented at the research conference on Differential Equations and Applications to Ecology, Epidemics, and Population Problems held at Harvey Mudd College. Buy Differential Equations and Applications in Ecology, Epidemics, and Population Problems on FREE SHIPPING on qualified orders.

Get this from a library. Differential equations and applications in ecology, epidemics, and population problems. [Stavros N Busenberg; Kenneth L Cooke;]. Get this from a library. Differential Equations and Applications in Ecology, Epidemics, and Population Problems. [Stavros Busenberg] -- Differential Equations and Applications in Ecology, Epidemics, and Population Problems.

Most of the fundamental elements of ecology, ranging from individual behavior to species abundance, diversity, and population dynamics, exhibit spatial variation.

Partial differential equation models provide a means of melding organism movement with population processes and have been used extensively to elucidate the effects of spatial Cited by: Brannan/BoycesDifferential Equations: An Introduction to Modern Methods and Applications, 3rd Editionis consistent with the way engineers and scientists use mathematics in their daily work.

The text emphasizes a systems approach to the subject and integrates the use of modern computing technology in the context of contemporary applications from engineering and science.

Modeling epidemics with diﬀerential equations Ross Beckley1, Cametria Weatherspoon1, in a population at any time. Differential equations and applications in ecology can be used to explain the change in the The ﬁrst two equations can be solved for I and S as in [3] The variation of I versus S can be seen from the ﬁgure provided Figure Size: 77KB.

Continuous model of epidemics {a system of nonlinear diﬁerential equations 65 Predator{prey model { a system of nonlinear equations 67 3 Solutions and applications of discrete mod-els 70 Inverse problems { estimates of the growth rate 70 Drug release 73 Mortgage repayment 74 Conditions for the Walras equilibrium 76File Size: 1MB.

Differential Equations and Applications to Biology and to Industry. mathematical studies in ecology, epidemics, and physiology, and industrial mathematics. Anyone interested in these areas will find much of value in these contributions.

Estimation of Distributed Individual Rates from Aggregate Population Data (H T Banks et al.). Differential Equations and Applications in Ecology, Epidemics, and Population Problems, () Stability in a class of cyclic epidemic models with delay.

Journal of Mathematical BiologyCited by: The objective of this course is to illustrate the use of differential equations and analytical tools from calculus to solve such problems. The course covers basic analytical and numerical solutions to ordinary differential equations (O.D.E.) with an introduction to partial differential equations commonly encountered in environmental studies.

Summary. Deepen students’ understanding of biological phenomena. Suitable for courses on differential equations with applications to mathematical biology or as an introduction to mathematical biology, Differential Equations and Mathematical Biology, Second Edition introduces students in the physical, mathematical, and biological sciences to fundamental modeling and analytical and population problems book used.

mathematics and statistics, Stochastic Differential Equations: An Introduction with Applications in Population Dynamics Modeling is an excellent fit for advanced under-graduates and beginning graduate students, as well as practitioners who need a gentle introduction. Description: Population dynamics is an important subject in mathematical biology.

A cen tral problem is to study the long-term behavior of modeling systems. Most of these systems are governed by various evolutionary equations such as Differential equations and applications in ecology, ordinary, functional, and partial differential equations (see, e.

g., [,55]). For this particular virus -- Hong Kong flu in New York City in the late 's -- hardly anyone was immune at the beginning of the epidemic, so almost everyone was susceptible. We will assume that there was a trace level of infection in the population, say, 10 people.

cations, e.g., classical dynamics, circuits, epidemics, population ecology, chemical kinetics, malaria, and more. Typically, inclusion of this chapter requires a 4-credit semester course. • Chapter 6. Computation of solutions. This brief chapter ﬁrst dis-cusses the Picard iteration method, and File Size: 2MB.

Cushing, Stability versus delays caused by maturation periods in age-structured populations, Differential Equations and Applications in Ecology, Epidemics and Population Dynamics (Busenberg and Cooke, editors),Academic Press, NY, We consider the nonlinear age-dependent population growth model introduced by Gurtin- MacCamy [Arch.

Rat. Mech. Anal. 54, – ()] to which is added a harvest of members at a rate which is constant in time but may depend on the age of members being harvested. This partial differential equation may be transformed by the method of characteristics into a pair of functional equations for Cited by: Models of epidemics that lead to delay differential equations often have subsidiary integral conditions that are imposed by the interpretation of these models.

The neglect of these conditions may lead to solutions that behave in a radically different manner from solutions restricted to obey them. Examples are given of such behavior, including cases where periodic solutions may occur off the Cited by: Differential Equations and Applications in Ecology, Epidemics, and Population Problems, Harlan W.

Stech. () Periodic Solutions to a Nonlinear Volterra Integro-Differential by: Deepen students' understanding of biological phenomena Suitable for courses on differential equations with applications to mathematical biology or as an introduction to mathematical biology, Differential Equations and Mathematical Biology, Second Edition introduces students in the physical, mathematical, and biological sciences to fundamental modeling and analytical techniques 4/5(3).

Cover Cover1 1 Title page iii 4 Contents v 6 Preface ix 10 On a class of nonlocal problems with applications to mathematical biology 2 13 Integrodifference equations applied to plant dispersal, competition, and control 16 27 Differential and stochastic epidemic models 32 43 General recruitment models for sexually transmitted diseases 46 57 Asymptotic behavior of two interacting pioneer/climax.

In this video I use differential equations to model population growth. The first differential equation for population growth that I go over is for ideal conditions and is simply stated as the rate. Book Description. Deepen students’ understanding of biological phenomena.

Suitable for courses on differential equations with applications to mathematical biology or as an introduction to mathematical biology, Differential Equations and Mathematical Biology, Second Edition introduces students in the physical, mathematical, and biological sciences to fundamental modeling and analytical.

Ecology, 75(1),pp. C by the Ecological Society of Amenica PARTIAL DIFFERENTIAL EQUATIONS IN ECOLOGY: SPATIAL INTERACTIONS AND POPULATION DYNAMICS' E. HOLMES Department of Zoology, NJ, University of Washington, Seattle, Washington USA M.

LEWIS Department of Mathematics, University of Utah, Salt Lake City, Utah. Population Modeling with Ordinary Diﬀerential Equations Michael J. Coleman November 6, Abstract Population modeling is a common application of ordinary diﬀerential equations and can be studied even the linear case.

We will investigate some cases of diﬀerential equations. Hi and welcome back to these are the lectures on differential differential equations, my name is will Murray and today we are going to talk about big topic, it is kind of a favorite 1 for students to hate It is applications modeling and word problems, those are all kind of different words for the same thing applications means you are using differential equations to study.

Modelling in ecology by the means of higher order differential equations is discussed and compared to the established practice of using first-order equations.

The study is based on the premise that a process of population growth responds not only to its present level, but also to the rate of change of that by: 4. Differential equations play an important role in modeling virtually every physical, technical, or biological process, from celestial motion, to bridge design, to interactions between neurons.

Differential equations such as those used to solve real-life problems may not necessarily be directly solvable, i.e. do not have closed form solutions. The aim of this paper is to study the dynamics of a reaction-diffusion SIR epidemic model with specific nonlinear incidence rate.

The global existence, positivity, and boundedness of solutions for a reaction-diffusion system with homogeneous Neumann boundary conditions are proved.

The local stability of the disease-free equilibrium and endemic equilibrium is obtained via characteristic by: I had to find a function for the population of a species that reproduces at a rate proportional to the current population and that dies at a rate proportional to the square root of the current population.

Therefore, I assumed that this meant I had to solve $$ \frac{dP}{dt}=\beta P-\delta \sqrt{P} $$. The book uses various differential equations to model biological phenomena, the heartbeat cycle, chemical reactions, electrochemical pulses in the nerve, predator- prey models, tumour growth.

Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It only takes a minute to sign up. Differential Equations Population Problem.

Chicken population growth. Applications of first ODE. but this is wrong. This would mean the population grows by people per year, which doesn't make any sense.

Saying "the population is increasing at a rate of 2 percent" really means "the population is increasing at a rate of 2 percent of the current population," or. He has pioneered the use of impulsive differential equations in disease modelling, which probably means very little to anyone reading this, but trust us - it's pretty impressive.

``Modelling Disease Ecology with Mathematics''is his first book, although he's also writing the upcoming ''Fluid Links: a guide to Doctor Who novels for Mad Norwegian Author: Robert Smith. In this video I go over an example on population growth and this time try to model the world population during the 20th century (that is from the year to ).

The first model involves. Also by L. Debnath: Nonlinear Partial Differential Equations for Scientists and Engineers, Second Edition, ISBN Discover the world's research 17+ million members. Differential Equations and Their Applications: An Introduction to Applied Mathematics, Edition 4 - Ebook written by Martin Braun.

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 Differential Equations and Their Applications: An Introduction to Applied Mathematics, Edition /5(1). Description: This book summarizes the qualitative theory of differential equations with or without delays, collecting recent oscillation studies important to applications and further developments in mathematics, physics, engineering, and biology.

The authors address oscillatory and nonoscillatory properties of first-order delay and neutral. In order to illustrate the use of differential equations with regard to this problem we consider the easiest mathematical model offered to govern the population dynamics of a certain species.

It is commonly called the exponential model, that is, the rate of change of the. Now enhanced with the innovative DE Tools CD-ROM and the iLrn teaching and learning system, this proven text explains the "how" behind the material and strikes a balance between the analytical, qualitative, and quantitative approaches to the study of differential equations/5(4).INT.

J. BIOAUTOMATION,15(2), NEW BOOKS D. S. JONES, M. J. PLANK, B. D. SLEEMAN DIFFERENTIAL EQUATIONS AND MATHEMATICAL BIOLOGY Chapman & Hall/CRC ISBN Hardcover pages 2nd edition (Nov. 09, ) The conjoining of mathematics and biology has brought.1.

Author(s): Busenberg,S N; Cooke,K L Title(s): Differential equations and applications in ecology, epidemics, and population problems/ S.N.

Busenberg, K.L. Cooke.