Stability and Bifurcation in Age-dependent Population Dynamics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Stability and Bifurcation in Age-dependent Population Dynamics write by K. E. Swick. This book was released on 1981. Stability and Bifurcation in Age-dependent Population Dynamics available in PDF, EPUB and Kindle.
An Introduction to Structured Population Dynamics
An Introduction to Structured Population Dynamics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to Structured Population Dynamics write by J. M. Cushing. This book was released on 1998-01-01. An Introduction to Structured Population Dynamics available in PDF, EPUB and Kindle. Interest in the temporal fluctuations of biological populations can be traced to the dawn of civilization. How can mathematics be used to gain an understanding of population dynamics? This monograph introduces the theory of structured population dynamics and its applications, focusing on the asymptotic dynamics of deterministic models. This theory bridges the gap between the characteristics of individual organisms in a population and the dynamics of the total population as a whole. In this monograph, many applications that illustrate both the theory and a wide variety of biological issues are given, along with an interdisciplinary case study that illustrates the connection of models with the data and the experimental documentation of model predictions. The author also discusses the use of discrete and continuous models and presents a general modeling theory for structured population dynamics. Cushing begins with an obvious point: individuals in biological populations differ with regard to their physical and behavioral characteristics and therefore in the way they interact with their environment. Studying this point effectively requires the use of structured models. Specific examples cited throughout support the valuable use of structured models. Included among these are important applications chosen to illustrate both the mathematical theories and biological problems that have received attention in recent literature.
Age-Structured Population Dynamics in Demography and Epidemiology
Age-Structured Population Dynamics in Demography and Epidemiology - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Age-Structured Population Dynamics in Demography and Epidemiology write by Hisashi Inaba. This book was released on 2017-03-15. Age-Structured Population Dynamics in Demography and Epidemiology available in PDF, EPUB and Kindle. This book is the first one in which basic demographic models are rigorously formulated by using modern age-structured population dynamics, extended to study real-world population problems. Age structure is a crucial factor in understanding population phenomena, and the essential ideas in demography and epidemiology cannot be understood without mathematical formulation; therefore, this book gives readers a robust mathematical introduction to human population studies. In the first part of the volume, classical demographic models such as the stable population model and its linear extensions, density-dependent nonlinear models, and pair-formation models are formulated by the McKendrick partial differential equation and are analyzed from a dynamical system point of view. In the second part, mathematical models for infectious diseases spreading at the population level are examined by using nonlinear differential equations and a renewal equation. Since an epidemic can be seen as a nonlinear renewal process of an infected population, this book will provide a natural unification point of view for demography and epidemiology. The well-known epidemic threshold principle is formulated by the basic reproduction number, which is also a most important key index in demography. The author develops a universal theory of the basic reproduction number in heterogeneous environments. By introducing the host age structure, epidemic models are developed into more realistic demographic formulations, which are essentially needed to attack urgent epidemiological control problems in the real world.
Population Dynamics
Population Dynamics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Population Dynamics write by C. Y. Cyrus Chu. This book was released on 1998. Population Dynamics available in PDF, EPUB and Kindle. This book fills the gap between the classical supply-side theory of Malthus and the modern demand-side theory of economic demography. Specifically, it investigates the dynamic macroeconomic implications of various static microeconomic-family economic decisions. It is within this framework that Professor Chu studies the income distribution, the attitude composition, the job structure, and the savings (including pensions) of the population. Chu applies a mathematical apparatus, the theory of branching processes, to his problem, and supplies the reader with much detail and several discursive discussions on the topic. Graduate-level students, professors, and professional economists will be interested in Chu's efforts.
Hyperbolic Partial Differential Equations
Hyperbolic Partial Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Hyperbolic Partial Differential Equations write by Matthew Witten. This book was released on 2014-05-17. Hyperbolic Partial Differential Equations available in PDF, EPUB and Kindle. Hyperbolic Partial Differential Equations, Volume 1: Population, Reactors, Tides and Waves: Theory and Applications covers three general areas of hyperbolic partial differential equation applications. These areas include problems related to the McKendrick/Von Foerster population equations, other hyperbolic form equations, and the numerical solution. This text is composed of 15 chapters and begins with surveys of age specific population interactions, populations models of diffusion, nonlinear age dependent population growth with harvesting, local and global stability for the nonlinear renewal equation in the Von Foerster model, and nonlinear age-dependent population dynamics. The next chapters deal with various applications of hyperbolic partial differential equations to such areas as age-structured fish populations, density dependent growth in a cell colony, boll-weevil-cotton crop modeling, age dependent predation and cannibalism, parasite populations, growth of microorganisms, and stochastic perturbations in the Von Foerster model. These topics are followed by discussions of bifurcation of time periodic solutions of the McKendrick equation; the periodic solution of nonlinear hyperbolic problems; and semigroup theory as applied to nonlinear age dependent population dynamics. Other chapters explore the stability of biochemical reaction tanks, an ADI model for the Laplace tidal equations, the Carleman equation, the nonequilibrium behavior of solids that transport heat by second sound, and the nonlinear hyperbolic partial differential equations and dynamic programming. The final chapters highlight two explicitly numerical applications: a predictor-convex corrector method and the Galerkin approximation in hyperbolic partial differential equations. This book will prove useful to practicing engineers, population researchers, physicists, and mathematicians.
