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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All solutions are graphically illustrated which is a major advantage of that book especially for readers without mathemqtical strong mathematical back- ground. 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.
Suitable for upper level students and beginning researchers in ecology, mathematical biology, and applied mathematics, the volume includes numerous clear line diagrams that clarify the mathematics, relevant problems throughout the text that aid understanding, and supplementary mathematical and historical material that enrich the main text.
Nearly one-dimensional dynamics in an epidemic. Some of its contents could be also useful for geoscientists, especially for those dealing with time-dependent modelling.
Marc Mangel Limited preview – Chaos in ecological systems: Dispersal data and the spread of invading organisms. Bulletin of Mathematical Biology, 54, Most of the approaches in this section are linear models, in Chapter 24, some simple nonlinear models are discussed. Journal of Mathematical Biology, 24, Integrodifference equations, Allee effects, and invasions.
Theoretical Population Biology, 66, Journal of Mathematical Biology, 44, Keeping pace with climate warming: Effects of noise on some dynamical models in ecology. In my opinion, the monograph of Mark Kot is very helpful and important for population ecologists as well as for kto and biologists in general. Elements of Mathematical Ecology. Invasion speeds in fluctuating environments. Physics Letters A, ISBN paperback The use of mathematical models is an important issue in natural science.
The modelling of the population dynamics in ecosystems e.
Rate estimation for a simple movement model. Beside the formulation and solution of the models, for some problems the mathematical theory is given. 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.
The dynamics of a simple laissez-faire model with two predators. At the end of each chapter, the author gives some recommendations for further readings which is a valuable help, especially for those which are not so familiar with the underlying theory.
Cambridge University PressJul 19, – Mathematics – pages. Zipf’s law and the diversity of biology newsgroups. Phylogenetic lability and rates of evolution: In the section on spatially structured models, their formulation as well as spatial steady states, linear and nonlinear, are dis- cussed in four chapters.
Discrete-time growth-dispersal models with shifting species ranges. Quantitative Methods for Ecology and Systematic Zoology, 39, Mathematical Biosciences, 80, Skip to main content. Canadian Applied Mathematics Quarterly, 10, Comparative methods at the species level: In addition, in each chapter some problems to the most important models are stated.
Bulletin of Mathematical Biology, 62, Trends in Ecology and Evolution, 1, The book ecologu of two parts. Mathematical Biosciences, Elwments bubbling in a discrete-time predator-prey model.
The Theoretical Biologist’s Toolbox: Bounds for the critical speed of climate-driven moving-habitat models. The model equations in population ecology are most often ordinary or partial differential equations.
Elements of Mathematical Ecology – Mark Kot – Google Books
The Lotka integral equation. Part one is split into single-species models, interacting and exploited populations. Wednesday, November 28, Spatial steady mthematical nonlinear problems. 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 Do strange attractors govern ecological systems?
Elements of Mathematical Ecology. A comparison of behavioral, morphological, and life history traits. Speeds of invasion in a model with strong or weak Allee effects.