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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Ecological Modelling, 43, Comparative methods at the species level: Physics Letters A, 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. Maynard Smith, and S.
The second part of this book is devoted to structured population models, covering spatially-structured population models with a focus on reaction-diffusion modelsage-structured models, and two-sex models. Spatial steady states linear problems. Changing criteria for imposing order. Discrete-time growth-dispersal models with shifting species ranges. The Theoretical Biologist’s Toolbox: Proceedings of the Royal Society of London B, Spatial steady states nonlinear problems.
Ecologists frequently use mathematical models for example to understand the growth of species in ecosystems. Limit cycles in a chemostat model for a single species with age structure. 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. Journal of Applied Physics, 68, Some of its contents could be also useful for geoscientists, especially for those dealing with time-dependent modelling.
All solutions are graphically illustrated which is a major advantage of that book especially for readers without a strong mathematical back- ground.
My library Help Advanced Book Search. Journal of Difference Equations and Applications, 11, Skip ecklogy main content.
Persistence in a two-dimensional moving-habitat model. The modelling of the population dynamics in ecosystems e. Bulletin of Mathematical Biology, 58, In my opinion, the monograph of Mark Kot is very helpful and important for population ecologists efology well as for ecologists and biologists in general.
Elements of Mathematical Ecology provides an introduction to classical and modern mathematical models, methods, and issues in population ecology.
Subcriticality and population collapse in some simple discrete-time predator-prey models. Systematic Zoology, 39, The first is devoted to unstructured population models whereas the second deals with structured population models. Rate estimation for a simple movement model. 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 monograph also markk a reference list which is not too extensive but sufficient. Harvest models bifurcations and breakpoints.
Theoretical Population Biology, B44, Quantitative Mathejatical for Ecology and Princeton University Press, Princeton. Complex dynamics in a model microbial system. Help Center Find new research papers in: Differential systems in ecology and epidemiology. Cambridge University PressJul 19, – Mathematics – pages.
To cycle or not to cycle. Here is a link to my Google Scholar profile. Bulletin of Mathematical Biology, 62, The model equations in population ecology are most often ordinary or partial differential equations.
Canadian Applied Mathematics Quarterly, 10, Speeds of invasion in a model with strong or weak Allee effects. Investigation of the nonlinear behavior of a partially ionized, turbulent plasma in a eoclogy field. Theoretical Population Biology, 48, Some simple nonlinear models. Part one is split into single-species models, interacting and exploited populations.
Elements of Mathematical Ecology – Mark Kot – Google Books
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? Remember me on this computer. Saddle-point approximations, integrodifference equations, and invasions.
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