Mathematical modelling with case studies : using Maple and MATLAB /: using Maple and MATLAB. (2015)

• Record Type: Book
• Further Information: Note: Belinda Barnes, Glenn Robert Fulford.
• Authors: Dr, Barnes, Belinda; Fulford, Glenn
• Contents: Introduction to Mathematical Modeling; Mathematical models; An overview of the book; Some modeling approaches; Modeling for decision making Compartmental Models ; Introduction; Exponential decay and radioactivity; Case study: detecting art forgeries; Case study: Pacific rats colonize New Zealand; Lake pollution models; Case study: Lake Burley Griffin; Drug assimilation into the blood; Case study: dull, dizzy, or dead?; Cascades of compartments; First-order linear DEs; Equilibrium points and stability; Case study: money, money, money makes the world go around Models of Single Populations ; Exponential growth; Density-dependent growth; Limited growth with harvesting; Case study: anchovy wipe-out; Case study: how can 2 × 106 birds mean rare?; Discrete population growth and chaos; Time-delayed regulation; Case study: Australian blowflies Numerical Solution of Differential Equations ; Introduction; Basic numerical schemes; Computer implementation using Maple and MATLAB; Instability; Discussion Interacting Population Models ; Introduction; An epidemic model for influenza; Predators and prey; Case study: Nile Perch catastrophe; Competing species; Case study: aggressive protection of lerps and nymphs; Model of a battle; Case study: rise and fall of civilizations Phase-Plane Analysis ; Introduction; Phase-plane analysis of epidemic model; Analysis of a battle model ; Analysis of a predator-prey model; Analysis of competing species models; The predator-prey model revisited; Case study: bacteria battle in the gut Linearization Analysis ; Introduction; Linear theory; Applications of linear theory; Nonlinear theory; Applications of nonlinear theory Some Extended Population Models ; Introduction; Case study: competition, predation, and diversity; Extended predator-prey model; Case study: lemming mass suicides?; Case study: prickly pear meets its moth; Case study: geese defy mathematical convention; Case study: possums threaten New Zealand cows Formulating Heat and Mass Transport Models ; Introduction; Some basic physical laws; Model for a hot water heater; Heat conduction and Fourier’s law; Heat conduction through a wall; Radial heat conduction; Heat fins; Diffusion Solving Time-Dependent Heat Problems ; The cooling coffee problem revisited; The water heater problem revisited; Case study: it’s hot and stuffy in the attic; Spontaneous combustion; Case study: fish and chips explode Solving Heat Conduction and Diffusion Problems ; Boundary condition problems; Heat loss through a wall; Case study: double glazing: what’s it worth?; Insulating a water pipe; Cooling a computer chip; Case Study: Tumor growth Introduction to Partial Differential Equations ; The heat conduction equation; Oscillating soil temperatures; Case study: detecting land mines; Lake pollution revisited Appendix A: Differential Equations ; Appendix B: Further Mathematics ; Appendix C: Notes on Maple and MATLAB ; Appendix D: Units and Scaling ; Appendix E: Parameters ; Appendix F: Answers and Hints References Index Exercises appear at the end of each chapter.
• Edition: 3rd edition
• Publisher Details: Boca Raton : Chapman & Hall/CRC
• Publication Date: 2015
• Extent: 1 online resource, illustrations
• Subjects: 511.8; Mathematical models; Differential equations
• Languages: English
• ISBNs: 9781482247770; 9781482247756; 9781482247763; 9781498723749
• Related ISBNs: 9781482247725
• Notes: Note: Includes bibliographical references and index.; Note: Description based on CIP data; item 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.