Mathematical Models in Biology An Introduction [Hardcover]

Linear and non-linear models of populations, molecular evolution, phylogenetic tree construction, genetics, and infectious diseases are presented with minimal prerequisites.This introductory textbook focuses on discrete models across a variety of biological subdisciplines, including linear and non-linear models of populations, Markov models of molecular evolution, phylogenetic tree construction from DNA sequence data, genetics, and infectious disease models. The book is suitable for students at a calculus level, but assumes no calculus. Self-contained development of mathematical topics, such as matrix algebra and basic probability, is motivated by the biological models. Computer investigations with MATLAB are incorporated throughout, in both exercises and more extensive projects, to give readers hands-on experience with the mathematical models developed.This introductory textbook focuses on discrete models across a variety of biological subdisciplines, including linear and non-linear models of populations, Markov models of molecular evolution, phylogenetic tree construction from DNA sequence data, genetics, and infectious disease models. The book is suitable for students at a calculus level, but assumes no calculus. Self-contained development of mathematical topics, such as matrix algebra and basic probability, is motivated by the biological models. Computer investigations with MATLAB are incorporated throughout, in both exercises and more extensive projects, to give readers hands-on experience with the mathematical models developed.Focusing on discrete models across a variety of biological subdisciplines, this introductory textbook includes linear and non-linear models of populations, Markov models of molecular evolution, phylogenetic tree construction from DNA sequence data, genetics, and infectious disease models. Assuming no knowledge of calculus, the development of mathematical topics, such as matrix algebra and basic probability, is motivated by the biologicl#%