Explorations of Mathematical Models in Biology with MATLAB
- Hoboken, New Jersey Wiley 2014
- xiii, 283 pages : illustrations ; 25 cm
1. Overview of discrete dynamical modeling and MATLAB -- 1.1 Introduction to Modeling and Difference Equations -- 1.2 The Modeling Process -- 1.3 Getting Started with MATLAB -- 2. Modeling with first-order difference equations -- 2.1 Modeling with First-Order Linear Homogenous Difference Equations with Constant Coefficients -- 2.2 Modeling with Nonhomogenous First-Order Linear Difference Equations -- 2.3 Modeling with Nonlinear Difference Equations: Logistic Growth Models -- 2.4 Logistic Equations and Chaos -- 3. Modeling with matrices -- 3.1 System of Linear Equations Having Unique Solutions -- 3.2 The Gauss-Jordan Elimination Method with Models -- 3.3 Introduction to Matrices -- 3.4 Determinants and Systems of Linear Equations -- 3.5 Eigenvalues and Eigenvectors -- 3.6 Eigenvalues and Stability of Linear Models -- 4. Modeling with systems of linear difference equations -- 4.1 Modeling with Markov Chains -- 4.2 Age-Structured Population Models -- 4.3 Modeling with Second-Oder Linear Difference Equations -- 5. Modeling with nonlinear systems of difference equations -- 5.1 Modeling of Interacting Species -- 5.2 The SIR Model of Infectious Disease -- 5.3 Modeling with Second-Order Nonlinear Difference Equations.
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 MATLAB, to focus more on building and analyzing models as opposed to configuring tedious calculations.