,Bibliographie
[Arn74] V. Arnold, Equations différentielles ordinaires, MIR, 1974.
[BG10] S. Benzoni-Gavage, Calcul différentiel et équations différentielles, Dunod, 2010.
+
[BGB 08] L. Bourguignon, S. Goutelle, J. Burdin, de Saint Martin, A. Guillermet, M. Ducher,
R. Jelliffe, and P. Maire, Bases rationnelles de la modélisation thérapeutique, Jacques
André, 2008. 9
[Bou12] G. Boularas, Equations différentielles, Cours de L3 de l’Université de Limoges (2012).
[Dem06] J.P. Demailly, Analyse numérique des équations différentielles, EDP Sciences, 2006.
[EK05] L. Edelstein-Keshet, Mathematical models in biology, SIAM, 2005. 49
[GAL14] E. Ghys, A. Alvarez, and J. Leys, Chaos, 2014. 49, 50, 52, 75
[Gom25] B. Gompertz, On the nature of the function expressive of the law of human mortality and
on a new mode of determining the nature of life contingencier, Letter to Francis Baily
(1825), 513–585. 48
[Gom65] , Wikipédia, 1779-1865. 48
[GW90] M. Gyllenberg and G.F. Webb, A nonlinear structured population model of tumor growth
with quiescence, Journal of Math. Biol. 28 (1990), no. 6, 671–713.
[Har82] P. Hartmann, Ordinary differential equations, Birkhauser, 1982.
[Her] R. Herbin, Analyse numérique : cours et exercices corrigés, http ://www.cmi.univ-
mrs.fr/ herbin/anamat.html.
[HH06] J. H. Hubbard and F. Hubert, Calcul scientifique. equations différentielles et équations
aux dérivées partielles, vol. 2, Vuibert, 2006. 13
[Hub10] F. Hubert, Etude de quelques problèmes de transport en médecine, Université de
Provence-Master2-Edp, 2010.
[HW99] J. H. Hubbard and B. West, Equations différentielles et systèmes dynamiques, Cassini,
1999.
[KBO03] A. C. King, J. Billingham, and S. R. Otto, Differential equations, linear, nonlinear, or-
dinary, partial, Cambridge, 2003.
[Lam72] J.H. Lambert, Anmerkungen und zusätze zur entwerfung des land- und himmelscharten.
48
[Mal] Thomas Malthus, Wikipedia. 46
[Pis78] N. Piskounov, Calcul différentiel et intégral, vol. 2, MIR, 1978.
[Ver] P.F. Verhultz, Wikipédia. 47
[Ver45] , Recherches mathématiques sur la loi d’accroissement de la population, Nou-
veaux mémoires de l’Académie royale de Bruxelles 18 (1845), 1–42. 47
[Vér02] J. Véron, Les mathématiques de la population de Lambert à Lotka, Math. & Sci. Hum.
40ème année (2002), no. 159, 43–45. 48
[wika] Calculateur humain, Wikipédia. 38
[wikb] Equations de Lotka-Volterra, Wikipédia. 50
[wikc] Les figures de l’ombre, Wikipédia. 38
[wikd] Système dynamique de Lorenz, Wikipédia.
[wike] Théorie du chaos, Wikipédia.
[Zab95] J. Zabczyk, Mathematical control theory, Birkhauser, 1995.
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller theboyalikis. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $8.29. You're not tied to anything after your purchase.
