Population Models with Harvesting and Delay
| Author | : Maria Angelica Astaburuaga |
| Publisher | : |
| Total Pages | : 158 |
| Release | : 1978 |
| Genre | : Predation (Biology) |
| ISBN | : |
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Population Models With Harvesting And Delay
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Stability Analysis of Some Population Models with Time Delay and Harvesting
| Author | : Syamsuddin Toaha |
| Publisher | : |
| Total Pages | : 608 |
| Release | : 2006 |
| Genre | : Harvesting |
| ISBN | : |
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Constant Rate Population Harvesting: Equilibrium and Stability
| Author | : Fred Brauer |
| Publisher | : |
| Total Pages | : 37 |
| Release | : 1974 |
| Genre | : |
| ISBN | : |
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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).
Mathematical Models in Population Biology and Epidemiology
| 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.
Mathematical Analysis of a Delay System as an Equivalent Model for a Size-Structured Fish Population
| Author | : Mona Ghwila |
| Publisher | : |
| Total Pages | : |
| Release | : 2017 |
| Genre | : |
| ISBN | : |
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This thesis is centered on a study of a delay system as an equivalent model of a size-structured fish population model. The delay system consists of a renewal equation for the consumer population birth rate and a delay differential equation for the resource concentration. We generalize the delay system by including realistic functional responses that contain the attack rate and the handling time. We analyze the stability of the equilibrium solution and present the linearization of the delay system, based on Diekmann et al. (2010b), to derive the characteristic equation for a general class of fish population models. The model is investigated numerically to illustrate the stability of the steady-state and to analyze various harvesting strategies and their effect on the fish population. We show how single-stage harvesting for either juveniles or adults is less harmful than harvesting both juveniles and adults.
Differential Equations and Applications in Ecology, Epidemics, and Population Problems
| Author | : Stavros Busenberg |
| Publisher | : Elsevier |
| Total Pages | : 376 |
| Release | : 2012-12-02 |
| Genre | : Science |
| ISBN | : 0323153429 |
Download Differential Equations and Applications in Ecology, Epidemics, and Population Problems Book in PDF, Epub and Kindle
Differential Equations and Applications in Ecology, Epidemics, and Population Problems is composed of papers and abstracts presented at the 1981 research conference on Differential Equations and Applications to Ecology, Epidemics, and Population Problems held at Harvey Mudd College. The reported researches consist of mathematics that is either a direct outgrowth from questions in population biology and biomathematics, or applicable to such questions. The content of this volume are collected in four groups. The first group addresses aspects of population dynamics that involve the interaction between spatial and temporal effects. The second group covers other questions in population dynamics and some other areas of biomathematics. The third group deals with topics in differential and functional differential equations that are continuing to find important applications in mathematical biology. The last group comprises of work on various aspects of differential equations and dynamical systems, not essentially motivated by biological applications. This book is valuable to students and researchers in theoretical biology and biomathematics, as well as to those interested in modern applications of differential equations.
Population Harvesting
| Author | : Wayne M. Getz |
| Publisher | : Princeton University Press |
| Total Pages | : 412 |
| Release | : 1989-04-21 |
| Genre | : Nature |
| ISBN | : 0691085161 |
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Whether in felling trees for wood, rearing insects for biological control, or culling animals for conservation purposes, efficient management of biological systems requires quantitative analysis of population growth and harvesting policies. Aiming to encourage the exchange of ideas among scientists involved in the management of fisheries, wildlife, forest stands, and pest control, the authors of this work present a general framework for modeling populations that reproduce seasonally and that have age or stage structure as an essential component of management strategy. The book represents the first time that examples from such diverse areas of biological resource management have been brought together in a unified modeling framework using the standard notation of mathematical systems theory. In addition, the authors combine a nonlinear extension of Leslie matrix theory and certain linear elements, thereby permitting interesting analytical results and the creation of compact, realistic simulation models of resource systems.
A Short History of Mathematical Population Dynamics
| Author | : Nicolas Bacaër |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 160 |
| Release | : 2011-02-01 |
| Genre | : Mathematics |
| ISBN | : 0857291157 |
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As Eugene Wigner stressed, mathematics has proven unreasonably effective in the physical sciences and their technological applications. The role of mathematics in the biological, medical and social sciences has been much more modest but has recently grown thanks to the simulation capacity offered by modern computers. This book traces the history of population dynamics---a theoretical subject closely connected to genetics, ecology, epidemiology and demography---where mathematics has brought significant insights. It presents an overview of the genesis of several important themes: exponential growth, from Euler and Malthus to the Chinese one-child policy; the development of stochastic models, from Mendel's laws and the question of extinction of family names to percolation theory for the spread of epidemics, and chaotic populations, where determinism and randomness intertwine. The reader of this book will see, from a different perspective, the problems that scientists face when governments ask for reliable predictions to help control epidemics (AIDS, SARS, swine flu), manage renewable resources (fishing quotas, spread of genetically modified organisms) or anticipate demographic evolutions such as aging.
Fishery Ecosystem Dynamics
| Author | : Michael J. Fogarty |
| Publisher | : Oxford University Press, USA |
| Total Pages | : 336 |
| Release | : 2020 |
| Genre | : Nature |
| ISBN | : 0198768931 |
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This book will illuminate the deep and often underappreciated connections between basic ecology and fishery science, and will explore the implications of these linkages in crafting management strategies for the 21st century.
Mathematical Approaches for Emerging and Reemerging Infectious Diseases: Models, Methods, and Theory
| Author | : Carlos Castillo-Chavez |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 375 |
| Release | : 2012-12-06 |
| Genre | : Medical |
| ISBN | : 1461300657 |
Download Mathematical Approaches for Emerging and Reemerging Infectious Diseases: Models, Methods, and Theory Book in PDF, Epub and Kindle
This IMA Volume in Mathematics and its Applications MATHEMATICAL APPROACHES FOR EMERGING AND REEMERGING INFECTIOUS DISEASES: MODELS, AND THEORY METHODS is based on the proceedings of a successful one week workshop. The pro ceedings of the two-day tutorial which preceded the workshop "Introduction to Epidemiology and Immunology" appears as IMA Volume 125: Math ematical Approaches for Emerging and Reemerging Infectious Diseases: An Introduction. The tutorial and the workshop are integral parts of the September 1998 to June 1999 IMA program on "MATHEMATICS IN BI OLOGY. " I would like to thank Carlos Castillo-Chavez (Director of the Math ematical and Theoretical Biology Institute and a member of the Depart ments of Biometrics, Statistics and Theoretical and Applied Mechanics, Cornell University), Sally M. Blower (Biomathematics, UCLA School of Medicine), Pauline van den Driessche (Mathematics and Statistics, Uni versity of Victoria), and Denise Kirschner (Microbiology and Immunology, University of Michigan Medical School) for their superb roles as organizers of the meetings and editors of the proceedings. Carlos Castillo-Chavez, es pecially, made a major contribution by spearheading the editing process. I am also grateful to Kenneth L. Cooke (Mathematics, Pomona College), for being one of the workshop organizers and to Abdul-Aziz Yakubu (Mathe matics, Howard University) for serving as co-editor of the proceedings. I thank Simon A. Levin (Ecology and Evolutionary Biology, Princeton Uni versity) for providing an introduction.
