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Full Description
Differential and Difference Equations in Mathematical Biology introduces graduate and senior undergraduate students to differential and difference equations as tools for modeling biological phenomena.
The book presents fundamental theory as well as recent research developments concerning the local and global analysis of continuous and discrete dynamical systems in mathematical biology. In addition to serving as a teaching text, the book is also valuable to researchers as both a reference and an introduction to the subject.
Features
Includes numerous exercises and examples
Can serve as a primary textbook or as supplementary reading for advanced undergraduate or graduate courses in differential equations, dynamical systems, mathematical biology, and mathematical modeling
Integrates research tools from ordinary differential equations (ODEs), delay differential equations (DDEs), partial differential equations (PDEs), and difference equations (DEs) in a single volume.
Contents
Part 1: Ordinary Differential Equations 1. Scalar Equations 2. Planar Systems 3. Ordinary Differential Systems 4. Perron-Frobenius Theorem 5. Hurwitz Matrices 6. Global Analysis 7. Illustrative Examples Part 2: Continuous Age-Structured Models and Delay Equations 8. Nicholson's Blowflies Model 9. Qualitative Analysis 10. Viral Infection Dynamics 11. More Ecological Models Part 3: Reaction-Diffusion Equations 12. Linear Equations 13. Nonlinear Equations 14. Traveling Waves Part 4: Difference Equations 15. Scalar Equations 16. Finite Dimensional Systems 17. Population Dynamics
