The Theoretical Biologist's Toolbox: Quantitative Methods for Ecology and Evolutionary BiologyMathematical modelling is widely used in ecology and evolutionary biology and it is a topic that many biologists find difficult to grasp. In this new textbook Marc Mangel provides a no-nonsense introduction to the skills needed to understand the principles of theoretical and mathematical biology. Fundamental theories and applications are introduced using numerous examples from current biological research, complete with illustrations to highlight key points. Exercises are also included throughout the text to show how theory can be applied and to test knowledge gained so far. Suitable for advanced undergraduate courses in theoretical and mathematical biology, this book forms an essential resource for anyone wanting to gain an understanding of theoretical ecology and evolution. |
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Contents
| 2 | |
| 20 | |
| 80 | |
The evolutionary ecology of parasitoids | 133 |
The population biology of disease | 168 |
An introduction to some of the problems | 210 |
The basics of stochastic population dynamics | 248 |
Applications of stochastic population dynamics | 285 |
References 323 | 323 |
Other editions - View all
The Theoretical Biologist's Toolbox: Quantitative Methods for Ecology and ... Marc Mangel No preview available - 2006 |
The Theoretical Biologist's Toolbox: Quantitative Methods for Ecology and ... Marc Mangel No preview available - 2006 |
Common terms and phrases
age at maturity analysis apply Aquatic Sciences assume basic reproductive rate Bayesian behavior boundary conditions Brownian motion called Canadian Journal capita growth rate Chapter compute conclude curve defined denote derivative deterministic differential equation diffusion disease dt ¼ ecosystem egg complement evolution evolutionary Evolutionary Ecology example Exercise exponential extinction ffiffiffi Figure Fisheries and Aquatic fishery management fishing foraging fraction function gamma harvest infected individuals integral interval Journal of Fisheries likelihood linear logistic Mangel mathematical maximum mean methods mosquito negative binomial distribution Nicholson–Bailey normally distributed obtain optimal oviposition panel parameters parasites parasitoid phase plane Poisson distribution Poisson process population dynamics predicted probability density punctuated equilibrium random variable reproductive right hand side Roitberg Rosenheim side of Eq solution stable statistical steady stochastic stochastic differential equation survival Taylor expansion theoretical theory trajectories University Press variance virulence write
Popular passages
Page 200 - I would not give a fig for the simplicity this side of complexity, but I would give my life for the simplicity on the other side of complexity.
Page 356 - It is possible that the motions to be discussed here are identical with the so-called "Brownian molecular motion"; however, the data available to me on the latter are so imprecise that I could not form a definite opinion on this fl] matter.
Page 209 - We are, in fact, assuming that plague in man is a reflection of plague in rats, and that with respect to the rat (1) the uninfected population was uniformly susceptible ; (2) that all susceptible rats in the island had an equal chance of being infected ; (3) that the infectivity, recovery, and death rates were of constant value throughout the course of sickness of each rat ; (4) that all cases ended fatally or became immune ; and (5) that the flea population was so large that the condition approximated...
Bibliographic information
| Title | The Theoretical Biologist's Toolbox: Quantitative Methods for Ecology and Evolutionary Biology |
| Author | Marc Mangel |
| Publisher | Cambridge University Press, 2006 |
| ISBN | 1139455869, 9781139455862 |
| Subjects | › › Mathematics / Applied Science / Life Sciences / Biology Science / Life Sciences / Ecology |
| Export Citation | BiBTeX EndNote RefMan |