Dynamical systems for biological modeling : an introduction /: an introduction. (2016)

• Record Type: Book
• Further Information: Note: Fred Brauer, Christopher Kribs-Zaleta.
• Authors: Brauer, Fred; Kribs, Christopher
• Contents: ELEMENTARY TOPICS; ; Introduction to Biological Modeling; The Nature and Purposes of Biological Modeling; The Modeling Process; Types of Mathematical Models; Assumptions, Simplifications, and Compromises; Scale and Choosing Units; ; Difference Equations (Discrete Dynamical Systems); Introduction to Discrete Dynamical Systems; Graphical Analysis; Qualitative Analysis and Population Genetics; Intraspecies Competition; Harvesting; Period Doubling and Chaos; Structured Populations; Predator-Prey Systems; ; First-Order Differential Equations (Continuous Dynamical Systems); Continuous-Time Models and Exponential Growth; Logistic Population Models; Graphical Analysis; Equations and Models with Variables Separable; Mixing Processes and Linear Models; First-Order Models with Time Dependence; ; Nonlinear Differential Equations; Qualitative Analysis Tools; Harvesting; Mass-Action Models; Parameter Changes, Thresholds, and Bifurcations; Numerical Analysis of Differential Equations; ; MORE ADVANCED TOPICS; ; Systems of Differential Equations; Graphical Analysis: The Phase Plane; Linearization of a System at an Equilibrium; Linear Systems with Constant Coefficients; Qualitative Analysis of Systems; ; Topics in Modeling Systems of Populations; Epidemiology: Compartmental Models; Population Biology: Interacting Species; Numerical Approximation to Solutions of Systems; ; Systems with Sustained Oscillations and Singularities; Oscillations in Neural Activity; Singular Perturbations and Enzyme Kinetics; HIV - An Example from Immunology; Slow Selection in Population Genetics; Second-Order Differential Equations: Acceleration; ; APPENDICES; ; An Introduction to the Use of MapleTM ; ; Taylor’s Theorem and Linearization; ; Location of Roots of Polynomial Equations; ; Stability of Equilibrium of Difference Equations; ; Answers to Selected Exercises; ; Bibliography;
• Edition: 1st
• Publisher Details: Boca Raton : Chapman & Hall/CRC
• Publication Date: 2016
• Extent: 1 online resource, illustrations (black and white)
• Subjects: 570.15118; Biology -- Mathematical models; Differentiable dynamical systems
• Languages: English
• ISBNs: 9781498774048
• Notes: Note: Description based on CIP data; resource not viewed.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.