Testing a simple stochastic model for the dynamics of waterfowl aggregations. Princeton University Press, Princeton. The struc- tured population models are divided in spatially structured, age-structured, and sex-structured models. Changing criteria for imposing order.
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Testing a simple stochastic model for the dynamics of waterfowl aggregations. Princeton University Press, Princeton. The struc- tured population models are divided in spatially structured, age-structured, and sex-structured models.
Changing criteria for imposing order. Theoretical Ecology, 4, Bounds for the critical speed of climate-driven moving-habitat models. Most of the approaches in this section are linear models, in Chapter 24, some simple nonlinear models are discussed. The first is devoted to unstructured population models whereas the second deals with structured population models.
However, the contents of this monograph may also be of interest for a broader scientific community interested in continuous and discrete time models. Ecologists frequently use mathematical models for example to understand the growth matuematical species in ecosystems. Persistence in a two-dimensional moving-habitat model. Speeds of invasion in a model with strong elementss weak Allee effects.
Canadian Applied Mathematics Quarterly, 10, Discrete-time growth-dispersal models with shifting species ranges. Investigation of the nonlinear behavior of a partially ionized, turbulent plasma in a magnetic field. In my opinion, the monograph of Mark Kot is very helpful and important for population ecologists as well as for ecologists and biologists elemens general.
Publications To summarize the contents of the monograph, in the single-species model section, there are six chapters on exponential, logistic, and Gompertz growth, on harvest models, on stochastic birth and death models, on discrete time models, on delay models, and on branching processes. In addition, in each chapter some problems to the most important models are stated. Part one is split into single-species models, interacting and exploited populations. Subcriticality and population collapse in some simple discrete-time predator-prey models.
Account Options Sign in. Theoretical Population Biology, 48, Bulletin of Mathematical Biology, 58, The section on age-structured models consists of six chapters, in which the author distinguishes between continuous time and births, discrete time and births, continuous time and age structure as well as discrete time and age structure.
Integrodifference equations, Allee effects, and invasions. Elements of Mathematical Ecology — Mark Kot — Google Books In this section, four types of models for continuous space and time, discrete space and time, continuous space and discrete time as well as ecolpgy space and continuous time are discussed.
A First Course in the Calculus of Variations. Skip to main content. The Lotka integral equation. Journal of Mathmeatical Biology, 44, Nearly one-dimensional dynamics in an epidemic. Elements of Mathematical Ecology. Journal of Mathematical Biology, 24, A comparison of behavioral, morphological, and life history traits. Theoretical Population Biology, 66, Stochasticity, invasions, and branching random walks.
Journal of Theoretical Biology, The dynamics of a simple laissez-faire model with two predators. Phylogenetic lability and rates of evolution: Wednesday, November 28, All solutions are graphically illustrated which is a major advantage of that book especially for readers without a strong mathematical back- ground.
To cycle or not to cycle. Related Posts.
Elements of Mathematical Ecology
Main Elements of Mathematical Ecology Elements of Mathematical Ecology Mark Kot Elements of Mathematical Ecology provides an introduction to classical and modern mathematical models, methods, and issues in population ecology. The first part of the book is devoted to simple, unstructured population models that ignore much of the variability found in natural populations for the sake of tractability. Topics covered include density dependence, bifurcations, demographic stochasticity, time delays, population interactions predation, competition, and mutualism , and the application of optimal control theory to the management of renewable resources. The second part of this book is devoted to structured population models, covering spatially-structured population models with a focus on reaction-diffusion models , age-structured models, and two-sex models.
ELEMENTS OF MATHEMATICAL ECOLOGY MARK KOT PDF