Title: Effet de la spatialisation sur la dynamique de mod�les compartimentaux: Application en �pid�miologie aux mod�les de type SI, SIR et SIRS (Omn.Univ.Europ.) (French Edition)
Publisher: �ditions universitaires europ�ennes
Publication Date: 2011
Language: French
ISBN 10: 613158396X
ISBN 13: 9786131583964
Binding: Soft cover
Condition: New
Weight: 331 grams

About this title

Synopsis

De nombreux facteurs d'h�t�rog�n�it� influent sur la dynamique globale des syst�mes �pid�miologiques (tranches d'�ge, structuration spatiale, etc). Ainsi, le concept de syst�me multi-patch offre un cadre appropri� pour l'�tude de l'influence spatiale dans la transmission de certaines maladies infectieuses. Nous nous int�ressons dans cette th�se � l'h�t�rog�n�it� spatiale. Dans le cas de maladies � transmission directe, nous consid�rons un syst�me �pid�miologique multi-patch SIRS avec migration. Nous utilisons les m�thodes d'agr�gation pour construire un syst�me r�duit �quivalent au mod�le complet initial. Le r�sultat principal obtenu est que le taux de reproduction de base (R0) du syst�me multi-patch est toujours inf�rieur � celui obtenu en monopatch. En transmission indirecte, nous g�n�ralisons � n patchs le mod�le de Ross-Macdonald qui d�crit la dynamique du paludisme. Nous calculons R0 et �tudions la stabilit� globale du syst�me. Ces analyses math�matiques sont accompagn�es de mod�les individu-centr�s, avec des simulations qui confirment sur le plan qualitatif les r�sultats th�oriques.

About the Author

N� � Yaound�, capitale politique du Cameroun, Etienne KOUOKAM y a men� toute sa formation scolaire et universitaire. Se sp�cialisant dans la mod�lisation des syst�mes complexes, il est enseignant au d�partement d'Informatique de la Fac Sciences de l'Universit� de Yaound� I, membre de l'�quipe IDASCO affili�e � l'UMI UMMISCO de l'IRD.

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