Mathematical 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.
... The Theoretical Biologist's Toolbox . Cambridge : Cambridge University Press . Mangel , M. , Rosenheim , J. A. and Adler , F. R. ( 1994 ) . Clutch size , offspring performance , and intergenerational fitness . Behavioral Ecology 5 , 412 ...
J. David Logan, William Wolesensky. The partial fraction decomposition ... If R contains no critical points, there must be a periodic orbit in R. 4.5.1 Rosenzweig— MacArthur Model Now we consider the Rosenzweig-MacArthur predator-prey.
3.10.2 Reed-Frost Model In the Reed-Frost model, a susceptible individual at time n will still be susceptible at time n + 1 if there is no contact with an infected individual. If the number of infected individuals at time n is in, ...
The text is addressed to readers who haven't used mathematics since school, who were perhaps more confused than enlightened by their undergraduate lectures in statistics and who have never used a computer for much more than word processing ...
Yet the existing books and academic coursework are not adequately serving most of the potential audience - instead they cater to the specialists who wish to focus on either mathematical or statistical aspects, and overwhelmingly appeal to ...
We introduce the theory of chemical reaction networks and their relation to stochastic Petri nets — important ways of modeling population biology and many other fields.
... The Theoretical Biologist's Toolbox: Quantitative Methods for Ecology and Evolutionary Biology. Cambridge University ... tool-box of techniques for stochastic models. Appendix This contains some C code for a simple bio-economic model ...
A theoretical study dealing chiefly with matters of definition and clarification of terms and concepts involved in using Darwinian notions to model social phenomena.
The book also covers statistical frameworks, the philosophy of statistical modeling, and critical mathematical functions and probability distributions. It requires no programming background--only basic calculus and statistics.
... The Theoretical Biologist's Toolbox: Quantitative Methods for Ecology and Evolutionary Biology. New York: Cambridge University Press. Manly, B.F.J., McDonald, L.L. and Thomas, D.L. (1993). Resource Selection by Animals. Statistical ...