Cambridge Core – Ecology and Conservation – Elements of Mathematical Ecology – by Mark Kot. pages. Dimensions: in. x in. x ts of Mathematical Ecology provides an introduction to classical and modern mathematical models. Elements of Mathematical Ecology Mark Kot. Elements of Mathematical Ecology provides an introduction to classical and modern mathematical models.
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Selected pages Page Cambridge University Press Amazon. The modelling of the population dynamics in ecosystems e. The Lotka integral equation. Models for the spread of white pine blister rust.
The first is devoted to unstructured population models whereas the second deals with structured population models.
Enter the email address you signed up with and we’ll email you a reset link. The monograph also contains a reference list which is not too extensive but sufficient. Rate estimation for a simple movement model. Nearly one-dimensional dynamics in an epidemic. Most of the approaches in this section are linear models, in Chapter 24, some simple nonlinear models are discussed. Testing a simple stochastic model for the dynamics of waterfowl aggregations.
Skip to main content. Invasion speeds in fluctuating environments. Speeds of invasion in a model with strong or weak Allee effects. Finally, in the section of sex-structured models, two-sex models are introduced.
Keeping pace with climate warming: Theoretical Population Biology, B44, Topics covered include density dependence, bifurcations, demographic stochasticity, time delays, population interactions predation, competition, and mutualismand the application of optimal control theory to the management of renewable resources. Do strange attractors govern ecological systems?
Discrete-time growth-dispersal models with shifting species ranges.
Persistence in a two-dimensional moving-habitat model. Bulletin of Mathematical Biology, 77, Life on the move: Bulletin of Mathematical Biology, 62, Bulletin of Mathematical Biology, 70, 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 mathematiacl as discrete time and age structure.
Differential systems in ecology and epidemiology. Changing criteria for imposing ecoligy. The struc- tured population models are divided in spatially structured, age-structured, and sex-structured models. Some simple nonlinear models. Account Options Sign in.
Elements of Mathematical Ecology – Mark Kot – Google Books
Invasion and chaos in a pulsed mass-action chemostat. In addition, in each chapter some problems to the most important models are stated.
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. The aim of this book was clearly to provide a textbook for students in population ecology.
Trends in Ecology and Evolution, 1, For each model, the problem is stated, the initial and boundary conditions as well as the solutions are kof. In my opinion, the monograph of Mark Kot is very helpful and important for population ecologists as well as for ecologists and biologists in general. Cambridge University PressJul 19, – Mathematics – pages. The book consists of two parts. Part one is split into single-species models, interacting and exploited populations.
Elements of Mathematical Ecology.
Ecological Modelling, 43, American Naturalist, To summarize the contents of the monograph, in the single-species model section, there are six chapters on exponential, logistic, and Gompertz growth, kkot harvest models, on stochastic birth and death models, on discrete time models, on delay models, and on branching processes. Elements of Mathematical Ecology.
Quantitative Methods for Ecology and