Biological Growth And Spread
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Biological Growth And Spread
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Author : W. Jäger
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-12
Biological Growth And Spread written by W. Jäger and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-12 with Science categories.
These Proceedings have been assembled from papers presented at the Conference on Models of Biological Growth and Spread, held at the German Cancer Research Centre Heidelberg and at the Institute of Applied Mathematics of the University of Heidelberg, July 16-21, 1979. The main theme of the conference was the mathematical representation of biolog ical populations with an underlying spatial structure. An important feature of such populations is that they and/or their individual com ponents may interact with each other. Such interactions may be due to external disturbances, internal regulatory factors or a combination of both. Many biological phenomena and processes including embryogenesis, cell growth, chemotaxis, cell adhesion, carcinogenesis, and the spread of an epidemic or of an advantageous gene can be studied in this con text. Thus, problems of particular importance in medicine (human and veterinary), agriculture, ecology, etc. may be taken into consideration and a deeper insight gained by utilizing (more) realistic mathematical models. Since the intrinsic biological mechanisms may differ considerably from each other, a great variety of mathematical approaches, theories and techniques is required. The aims of the conference were (i) To provide an overview of the most important biological aspects. (ii) To survey and analyse possible stochastic and deterministic approaches. (iii) To encourage new research by bringing together mathematicians interested in problems of a biological nature and scientists actively engaged in developing mathematical models in biology.
Biological Growth And Spread
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Author : Willi u.a Jäger
language : de
Publisher:
Release Date : 1980
Biological Growth And Spread written by Willi u.a Jäger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Biology categories.
Biological Growth And Spread Mathematical Theories And Applications
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Author :
language : fr
Publisher:
Release Date : 1980
Biological Growth And Spread Mathematical Theories And Applications written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with categories.
Models Of Biological Growth And Spread
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Author : Willi Jäger
language : en
Publisher:
Release Date : 1980
Models Of Biological Growth And Spread written by Willi Jäger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Biology categories.
Biological Growth And Spread
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Author : Tomoko Ohta
language : en
Publisher:
Release Date : 1974
Biological Growth And Spread written by Tomoko Ohta and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Evolution categories.
The Mathematics Behind Biological Invasions
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Author : Mark A. Lewis
language : en
Publisher: Springer
Release Date : 2016-05-05
The Mathematics Behind Biological Invasions written by Mark A. Lewis and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-05 with Mathematics categories.
This book investigates the mathematical analysis of biological invasions. Unlike purely qualitative treatments of ecology, it draws on mathematical theory and methods, equipping the reader with sharp tools and rigorous methodology. Subjects include invasion dynamics, species interactions, population spread, long-distance dispersal, stochastic effects, risk analysis, and optimal responses to invaders. While based on the theory of dynamical systems, including partial differential equations and integrodifference equations, the book also draws on information theory, machine learning, Monte Carlo methods, optimal control, statistics, and stochastic processes. Applications to real biological invasions are included throughout. Ultimately, the book imparts a powerful principle: that by bringing ecology and mathematics together, researchers can uncover new understanding of, and effective response strategies to, biological invasions. It is suitable for graduate students and established researchers in mathematical ecology.
Modeling Dynamic Biological Systems
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Author : Bruce Hannon
language : en
Publisher: Springer
Release Date : 2014-07-05
Modeling Dynamic Biological Systems written by Bruce Hannon and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-05 with Science categories.
Many biologists and ecologists have developed models that find widespread use in theoretical investigations and in applications to organism behavior, disease control, population and metapopulation theory, ecosystem dynamics, and environmental management. This book captures and extends the process of model development by concentrating on the dynamic aspects of these processes and by providing the tools such that virtually anyone with basic knowledge in the Life Sciences can develop meaningful dynamic models. Examples of the systems modeled in the book range from models of cell development, the beating heart, the growth and spread of insects, spatial competition and extinction, to the spread and control of epidemics, including the conditions for the development of chaos. Key features: - easy-to-learn and easy-to-use software - examples from many subdisciplines of biology, covering models of cells, organisms, populations, and metapopulations - no prior computer or programming experience required Key benefits: - learn how to develop modeling skills and system thinking on your own rather than use models developed by others - be able to easily run models under alternative assumptions and investigate the implications of these assumptions for the dynamics of the biological system being modeled - develop skills to assess the dynamics of biological systems
Modelling Biological Populations In Space And Time
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Author : Eric Renshaw
language : en
Publisher: Cambridge University Press
Release Date : 1993-08-26
Modelling Biological Populations In Space And Time written by Eric Renshaw and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-08-26 with Mathematics categories.
This volume develops a unifying approach to population studies, emphasising the interplay between modelling and experimentation. Throughout, mathematicians and biologists are provided with a framework within which population dynamics can be fully explored and understood. Aspects of population dynamics covered include birth-death and logistic processes, competition and predator-prey relationships, chaos, reaction time-delays, fluctuating environments, spatial systems, velocities of spread, epidemics, and spatial branching structures. Both deterministic and stochastic models are considered. Whilst the more theoretically orientated sections will appeal to mathematical biologists, the material is presented so that readers with little mathematical expertise can bypass these without losing the main flow of the text.
The Effects Of Biological Control Agents On Population Growth And Spread Of Melaleuca Quinquenervia
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Author : Lucero Sevillano Garcia Mayeya
language : en
Publisher:
Release Date : 2010
The Effects Of Biological Control Agents On Population Growth And Spread Of Melaleuca Quinquenervia written by Lucero Sevillano Garcia Mayeya and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with categories.
The main goal of this study was to evaluate the effectiveness of two biological control agents in reducing population growth and spread of the invasive tree Melaleuca quinquenervia, a subtropical tree native to Australia, and invasive in Florida, Puerto Rico, and the Bahamas. While in Florida two insects Oxyops vitiosa (weevil), and Boreioglycaspis melaleucae (psyllid) have been established as biocontrol agents, in Puerto Rico only psyllids are present, and in the Bahamas no biocontrol agents are present. This study combined demographic data, experiments and mathematical models to investigate the influence of the biocontrol agents on M. quinquenervia2s spatial population dynamics. In the field, permanent plots were established and demographic data was collected in populations in the native and exotic ranges. Australian populations are comprised mostly of tall adult trees, while in the exotic ranges populations are comprised mostly of short trees (
Exactly Solvable Models Of Biological Invasion
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Author : Sergei V. Petrovskii
language : en
Publisher: CRC Press
Release Date : 2005-07-28
Exactly Solvable Models Of Biological Invasion written by Sergei V. Petrovskii and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-07-28 with Mathematics categories.
Much of our current knowledge on biological invasion was derived from field studies, but many recent advances relied heavily on mathematics and computing, particularly mathematical modeling. While numerical simulations are clearly a useful approach, they have some serious drawbacks. Approximations errors and the number of parameter values can have a significant impact on the simulation results, the extent of which often remains obscure. Such difficulties do not arise, however, when the problem can be solved analytically. Exactly Solvable Models of Biological Invasion demonstrates the advantages and methods of obtaining exact solutions of partial differential equations that describe nonlinear problems encountered in the study of invasive species spread. With emphasis on PDEs of diffusion-reaction type, the authors present a comprehensive collection of exactly solvable models and a unified, self-contained description of the relevant mathematical methods. In doing so, they also provide new insight into important issues such as the impact of the Allee effect, the impact of predation, and the interplay between different modes of species dispersal. Full calculation details make this presentation accessible to biologists as well as applied mathematicians, and a range of ecological examples and applications demonstrate the utility of exact methods in practice. Exact solutions provide an immediate, complete description of system dynamics for a wide class of initial conditions and serve as a convenient tool for testing numerical algorithms and codes used in more specialized studies. This book lays the groundwork for bringing the power of exactly solvable models to bear on real-world ecological problems.