Constant Rate Population Harvesting Equilibrium And Stability
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Author | : Fred Brauer |
Publisher | : |
Total Pages | : 37 |
Release | : 1974 |
Genre | : |
ISBN | : |
Download Constant Rate Population Harvesting: Equilibrium and Stability Book in PDF, Epub and Kindle
The paper studies the effect of constant rate harvesting on population models described by ordinary differential equations. The dependence of limits on populations on the harvest rate, the possibility of extinction in finite time, and the effect of the introduction of a time-lag delay on stability are studied. Various models for one population are analysed, and a geometric technique for the study of two-population models is discussed. (Author).
Author | : Fred Brauer |
Publisher | : |
Total Pages | : 33 |
Release | : 1974 |
Genre | : Competition (Biology) |
ISBN | : |
Download Constrant Rate Population Harvesting Book in PDF, Epub and Kindle
Author | : Maria Angelica Astaburuaga |
Publisher | : |
Total Pages | : 158 |
Release | : 1978 |
Genre | : Predation (Biology) |
ISBN | : |
Download Population Models with Harvesting and Delay Book in PDF, Epub and Kindle
Author | : Simon A. Levin |
Publisher | : Springer Science & Business Media |
Total Pages | : 498 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3642613179 |
Download Applied Mathematical Ecology Book in PDF, Epub and Kindle
The Second Autumn Course on Mathematical Ecology was held at the Intern ational Centre for Theoretical Physics in Trieste, Italy in November and December of 1986. During the four year period that had elapsed since the First Autumn Course on Mathematical Ecology, sufficient progress had been made in applied mathemat ical ecology to merit tilting the balance maintained between theoretical aspects and applications in the 1982 Course toward applications. The course format, while similar to that of the first Autumn Course on Mathematical Ecology, consequently focused upon applications of mathematical ecology. Current areas of application are almost as diverse as the spectrum covered by ecology. The topiys of this book reflect this diversity and were chosen because of perceived interest and utility to developing countries. Topical lectures began with foundational material mostly derived from Math ematical Ecology: An Introduction (a compilation of the lectures of the 1982 course published by Springer-Verlag in this series, Volume 17) and, when possible, progressed to the frontiers of research. In addition to the course lectures, workshops were arranged for small groups to supplement and enhance the learning experience. Other perspectives were provided through presentations by course participants and speakers at the associated Research Conference. Many of the research papers are in a companion volume, Mathematical Ecology: Proceedings Trieste 1986, published by World Scientific Press in 1988. This book is structured primarily by application area. Part II provides an introduction to mathematical and statistical applications in resource management.
Author | : Fred Brauer |
Publisher | : CRC Press |
Total Pages | : 482 |
Release | : 2015-12-23 |
Genre | : Mathematics |
ISBN | : 1498774040 |
Download Dynamical Systems for Biological Modeling Book in PDF, Epub and Kindle
Dynamical Systems for Biological Modeling: An Introduction prepares both biology and mathematics students with the understanding and techniques necessary to undertake basic modeling of biological systems. It achieves this through the development and analysis of dynamical systems.The approach emphasizes qualitative ideas rather than explicit computa
Author | : Virginia W. Noonburg |
Publisher | : American Mathematical Soc. |
Total Pages | : 402 |
Release | : 2020-08-28 |
Genre | : Education |
ISBN | : 1470463296 |
Download Differential Equations: From Calculus to Dynamical Systems: Second Edition Book in PDF, Epub and Kindle
A thoroughly modern textbook for the sophomore-level differential equations course. The examples and exercises emphasize modeling not only in engineering and physics but also in applied mathematics and biology. There is an early introduction to numerical methods and, throughout, a strong emphasis on the qualitative viewpoint of dynamical systems. Bifurcations and analysis of parameter variation is a persistent theme. Presuming previous exposure to only two semesters of calculus, necessary linear algebra is developed as needed. The exposition is very clear and inviting. The book would serve well for use in a flipped-classroom pedagogical approach or for self-study for an advanced undergraduate or beginning graduate student. This second edition of Noonburg's best-selling textbook includes two new chapters on partial differential equations, making the book usable for a two-semester sequence in differential equations. It includes exercises, examples, and extensive student projects taken from the current mathematical and scientific literature.
Author | : Murray S. Klamkin |
Publisher | : SIAM |
Total Pages | : 352 |
Release | : 1987-01-01 |
Genre | : Technology & Engineering |
ISBN | : 9781611971767 |
Download Mathematical Modelling Book in PDF, Epub and Kindle
Designed for classroom use, this book contains short, self-contained mathematical models of problems in the physical, mathematical, and biological sciences first published in the Classroom Notes section of the SIAM Review from 1975-1985. The problems provide an ideal way to make complex subject matter more accessible to the student through the use of concrete applications. Each section has extensive supplementary references provided by the editor from his years of experience with mathematical modelling.
Author | : B.-S. Goh |
Publisher | : Elsevier |
Total Pages | : 299 |
Release | : 2012-12-02 |
Genre | : Science |
ISBN | : 0444599622 |
Download Management and Analysis of Biological Populations Book in PDF, Epub and Kindle
Management and Analysis of Biological Populations demonstrates the usefulness of optimal control theory in the management of biological populations and the Liapunov function in simulating an ecosystem model under large perturbations of its initial state and continual disturbances on its dynamics. The first chapter of the book introduces the topic by presenting the different models in ecology and discussing the stability concepts, the ecological engineering, and various relevant functions in ecosystem modeling. The next chapter contains a brief survey of static optimization techniques and optimal control theory for systems, which are modeled by differential and difference equations. Another chapter covers methods that use Liapunov and Liapunov-like functions to establish that a given population model is stable relative to finite perturbations of its initial state and that it is non-vulnerable relative to large continual disturbances. The book also covers fisheries and logistic modeling, including a discussion of a few management problems. Moreover, this reference considers stability in an ecosystem model with complexities due to species richness, nonlinearities, time delays, and spatial heterogeneity. Finally, it explains how to manage pests and greenhouse crops. The book is an excellent reference source for students and professionals in ecology and environmental engineering. Research professionals and extended workers in agriculture and agronomy will also find this book invaluable.
Author | : Fred Brauer |
Publisher | : Springer Science & Business Media |
Total Pages | : 432 |
Release | : 2013-03-09 |
Genre | : Science |
ISBN | : 1475735162 |
Download Mathematical Models in Population Biology and Epidemiology Book in PDF, Epub and Kindle
The goal of this book is to search for a balance between simple and analyzable models and unsolvable models which are capable of addressing important questions on population biology. Part I focusses on single species simple models including those which have been used to predict the growth of human and animal population in the past. Single population models are, in some sense, the building blocks of more realistic models -- the subject of Part II. Their role is fundamental to the study of ecological and demographic processes including the role of population structure and spatial heterogeneity -- the subject of Part III. This book, which will include both examples and exercises, is of use to practitioners, graduate students, and scientists working in the field.
Author | : Jose Mildred Castro Ospina |
Publisher | : |
Total Pages | : 314 |
Release | : 1984 |
Genre | : Mathematical optimization |
ISBN | : |
Download Equilibrium and Stability of Bioeconomic Models of Renewable Reources Under Diverse Harvesting Regimes Book in PDF, Epub and Kindle