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Modeling differential equations in b...

Taubes, Clifford, (1954-)

Modeling differential equations in biology /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Modeling differential equations in biology /Clifford Henry Taubes.
作者:	Taubes, Clifford,
出版者:	Cambridge, UK ;Cambridge University Press,2008.
面頁冊數:	xxiii, 500 p.:ill. ;25 cm.
標題:	BiologyMathematical models.
ISBN:	9780521708432 (pbk.)

Modeling differential equations in biology /
Taubes, Clifford,1954-

Modeling differential equations in biology /Clifford Henry Taubes. - 2nd ed. - Cambridge, UK ;Cambridge University Press,2008. - xxiii, 500 p.:ill. ;25 cm.

Includes bibliographical references and index.

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. Non-linear 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 and 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.

Originally published :

Prentice Hall, 2001.

ISBN: 9780521708432 (pbk.)

LCCN: 2008297566

Nat. Bib. No.: GBA850577bnbSubjects--Topical Terms:

206136
Biology
--Mathematical models.

LC Class. No.: QH323.5 / .T38 2008

Dewey Class. No.: 570.1/51535

Modeling differential equations in biology /
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245 1 0 $a Modeling differential equations in biology / $c Clifford Henry Taubes.
250 $a 2nd ed.
260 $a Cambridge, UK ; $a New York : $c 2008. $b Cambridge University Press,
300 $a xxiii, 500 p.: $b ill. ; $c 25 cm.
504 $a Includes bibliographical references and index.
505 0 $a 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. Non-linear 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 and 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.
534 $c Prentice Hall, 2001. $p Originally published :
650 $a Biology $x Mathematical models. $3 206136
650 $a Differential equations. $3 183925