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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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.
Beside the formulation and solution of the models, for some problems the mak theory is given. Here is a link to my Google Scholar profile.
Elements of Mathematical Ecology – Mark Kot – Google Books
Journal elemdnts Difference Equations and Applications, 11, Elements of Mathematical Ecology provides an introduction to classical and modern mathematical models, methods, and issues in population ecology.
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.
In this section, four types of models for continuous space and time, discrete space and time, continuous space and discrete time as well as discrete space and continuous time are discussed. Integrodifference equations, Allee effects, and invasions.
The effects of mathemztical on discrete models of population growth. Life on the move: To cycle or not to cycle. Complex dynamics in a model microbial system.
Multidimensional trees, range searching, and a correlation dimension algorithm of reduced complexity. Ecoloogy of invasion in a model with strong or weak Allee effects. Account Options Sign in. Testing a simple stochastic model for the dynamics of waterfowl aggregations.
Part one is split into single-species models, interacting and exploited populations. The model equations in population ecology are most often ordinary or partial differential equations.
Enter the email address you signed up with and we’ll email you a reset link. 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.
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. Journal of Mathematical Biology, 30, Rate estimation for a simple movement model.
Princeton University Press, Princeton. Oxford University Press, Oxford. Mathematical Biosciences, Harvest models bifurcations and breakpoints. Bulletin of Mathematical Biology, 70, Help Center Find new research papers in: ISBN paperback The use of ecoloyy models is an important issue in natural science. The dynamics of a simple laissez-faire model with two predators. Ecological Modelling, 43, Keeping ecoloogy with climate warming: Theoretical Population Biology, 26, Saddle-point approximations, integrodifference equations, and invasions.