Modeling differential equations in biology

Detalles Bibliográficos
Autor principal: Taubes, Clifford, 1954-
Formato: Libro
Lenguaje:English
Publicado: Cambridge, UK ; New York : Cambridge University Press, ©2008.
Edición:Second edition.
Materias:
Biomatemáticas.
Ecuaciones diferenciales
Acceso en línea:http://catdir.loc.gov/catdir/enhancements/fy0827/2008297566-t.html
Tabla de Contenidos:
  • 1. Introduction
  • 2. Exponential growth with appendix on Taylor's theorem
  • 3. Introduction to differential equations
  • 4. Stability in a one component system
  • 5. Systems of first order differential equations
  • 6. Phase plane analysis
  • 7. Introduction to vectors
  • 8. Equilibrium in two component, linear systems
  • 9. Stability in non-linear systems
  • 10. Nonlinear stability again
  • 11. Matrix notation
  • 12. Remarks about Australian predators
  • 13. Introduction to advection
  • 14. Diffusion equations
  • 15. Two key properties of the advection and diffusion equations
  • 16. The no-trawling zone
  • 17. Separation of variables
  • 18. The diffusion equation and pattern formation
  • 19. Stability criteria
  • 20. Summary of advection/diffusion
  • 21. Traveling waves
  • 22. Traveling wave velocities
  • 23. Periodic solutions
  • 24. Fast and slow
  • 25. Estimating elapsed time
  • 26. Switches
  • 27. Testing for periodicity
  • 28. Causes of chaos.

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