Optimal control of the lost to follow up in a tuberculosis model

Computational and Mathematical Methods in Medicine

Volumn 2011, Issue , 2011, Pages

  Emvudu, Yves ^a   Demasse, Ramsès ^a   Djeudeu, Dany ^a  

^a UNIVERSITY OF YAOUNDÉ I   (Cameroon)

Author keywords

[No Author keywords available]

Indexed keywords

BASIC REPRODUCTION RATIOS; CONTROL STRATEGIES; NUMERICAL RESULTS; OPTIMAL CONTROL THEORY; OPTIMAL CONTROLS; OPTIMIZATION STRATEGY; PONTRYAGIN'S MAXIMUM PRINCIPLE; TRANSMISSION DYNAMICS;

CELL PROLIFERATION;

AFRICA; ARTICLE; CONTROL STRATEGY; COST; DISEASE TRANSMISSION; FOLLOW UP; MATHEMATICAL ANALYSIS; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; SIMULATION; TUBERCULOSIS; TUBERCULOSIS CONTROL; ALGORITHM; HEALTH; HUMAN; INFECTION CONTROL; POPULATION DYNAMICS; POVERTY; PUBLIC HEALTH; STATISTICAL MODEL; THEORETICAL MODEL;

AFRICA; ALGORITHMS; COMMUNICABLE DISEASE CONTROL; FOLLOW-UP STUDIES; HUMANS; LOST TO FOLLOW-UP; MODELS, STATISTICAL; MODELS, THEORETICAL; POPULATION DYNAMICS; POVERTY; PUBLIC HEALTH; TUBERCULOSIS; WORLD HEALTH;

EID: 84855171228     PISSN: 1748670X     EISSN: 17486718     Source Type: Journal    
DOI: 10.1155/2011/398476     Document Type: Article

References (16)

1. Bercion R., Kuaban C., Resistance of Mycobacterium tuberculosis complex to the main antituberculosis drugs in Yaounde-Cameroon Bulletin de la Societe de Pathologie Exotique 1998 91 3 199 202 (Pubitemid 128375741)
2. Global Tuberculosis Control: Surveillance, Planning, Financing 2005 Geneva, Switzerland World Health Organization
3. Feng Z., Castillo-Chavez C., Mathematical Models for the Disease Dynamics of Tubeculosis 1998 River Edge, NJ, USA World Scientific Publishing
4. Blower S. M., Small P. M., Hopewell P. C., Control strategies for tuberculosis epidemics: New models for old problems Science 1996 273 5274 497 500 (Pubitemid 26286450)
5. Bowong S., Emvudu Y., Moualeu D. P., Tewa J. J., Mathematical properies of a tuberculosis model with two differential infectivity and N latent classes Journal of Nonlinear Systems and Applications 2010 13 26
6. Boulahbal F., Chaulet P., Tuberculosis in Africa: epidemiology and control measures Medecine Tropicale 2004 64 3 224 228
7. Plaire Tchinda Mouofo, Analyse de Linfluence des Invidus Malade Perdu de vue sur la Dynamique de Transmission et de Diffusion de la Tuberculose et du SIDA en Afrique 2009 Mémoire de Master en Mathématiques, University of Yaounde I
8. Berman A., Plemmons R. J., Nonnegative Matrices in the Mathematical Sciences 1994 Philadelphia, Pa, USA SIAM
9. Van Den Driessche P., Watmough J., Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission Mathematical Biosciences 2002 180 29 48 (Pubitemid 35304346)
10. Luenberger D. G., Introduction to Dynamic Systems: Theory, Models, and Applications 1979 New York, NY, USA John Wiley Sons
11. Diekmann O., Heesterbeek J. A. P., Metz J. A. J., On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations Journal of Mathematical Biology 1990 28 365 382
12. Pontryagin L. S., Boltyanskii V. G., Gamkrelidze R. V., Mischenko E. F., The Mathematical Theory of Optimal Process 1992 New York, NY, USA John Wiley Sons
13. Marino S., Linderman J. J., Kirschner D., A Multi-faceted approach to modeling the immune response in Tuberculosis WIRES Systems Biology and Medicine 2011 3 4 479 489
14. National Institute of Statistics: Evolution des Systemes Statistiques Nationaux, Cameroun, 2007
15. National Committee of Figth Against Tuberculosis:Guide de Personel de la Santé, Cameroun, 2008
16. World Health Organisation (WHO), 2004