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.
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