Algorithms and models are increasingly being used in biology, ecology and environmental science research; Maple is a user-friendly computing language that makes such modeling easy. This guide offers example based explanations of how to use Maple to its fullest extent to build and analyze models. Examples include population dynamics, genetics, drug administration, interacting species, and the spread of contagious diseases. Mathematical topics covered include Markov chains, matrix algebra and linear and nonlinear first-order difference equations. This book is simple enough for undergraduates in a mathematical modeling course but detailed enough to serve as a resource for biologists, ecologists and mathematicians. Annotation ©2015 Ringgold, Inc., Portland, OR (protoview.com)
Explore and analyze the solutions of mathematical models from diverse disciplines
As biology increasingly depends on data, algorithms, and models, it has become necessary to use a computing language, such as the user-friendly MapleTM, to focus more on building and analyzing models as opposed to configuring tedious calculations. Explorations of Mathematical Models in Biology with Maple provides an introduction to model creation using Maple, followed by the translation, analysis, interpretation, and observation of the models.
With an integrated and interdisciplinary approach that embeds mathematical modeling into biological applications, the book illustrates numerous applications of mathematical techniques within biology, ecology, and environmental sciences. Featuring a quantitative, computational, and mathematical approach, the book includes:
- Examples of real-world applications, such as population dynamics, genetics, drug administration, interacting species, and the spread of contagious diseases, to showcase the relevancy and wide applicability of abstract mathematical techniques
- Discussion of various mathematical concepts, such as Markov chains, matrix algebra, eigenvalues, eigenvectors, first-order linear difference equations, and nonlinear first-order difference equations
- Coverage of difference equations to model a wide range of real-life discrete time situations in diverse areas as well as discussions on matrices to model linear problems
- Solutions to selected exercises and additional Maple codes
Explorations of Mathematical Models in Biology with Maple is an ideal textbook for undergraduate courses in mathematical models in biology, theoretical ecology, bioeconomics, forensic science, applied mathematics, and environmental science. The book is also an excellent reference for biologists, ecologists, mathematicians, biomathematicians, and environmental and resource economists.
