A with-in host Dengue infection model with immune response

Mathematical and Computer Modelling

Volumn 49, Issue 5-6, 2009, Pages 1148-1155

  Nuraini, Nuning ^a   Tasman, Hengki ^a   Soewono, Edy ^a   Sidarto, Kuntjoro Adji ^a  

^a BANDUNG INSTITUTE OF TECHNOLOGY   (Indonesia)

Author keywords

Basic reproduction ratio; Bifurcation diagram; Dengue viral infection; With in host model

Indexed keywords

BIFURCATION (MATHEMATICS); VIRUSES;

BASIC REPRODUCTION RATIO; BIFURCATION DIAGRAM; DENGUE VIRAL INFECTION; DENGUE VIRUS; IMMUNE RESPONSE; INFECTION MODELS; NUMERICAL SIMULATIONS; WITH-IN HOST MODEL;

IMMUNOLOGY;

EID: 59249091505     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2008.06.016     Document Type: Article

References (22)

1. Bertell R. Internal bone seeking radionuclides and monocyte counts. IPPH Journal 9 (1993) 21-26
2. Bellomo N., Li N.K., and Maini P. On the foundation of cancer modelling: Selected topics, speculations and perspectives. Math. Models Methods Appl. Sci. 18 (2008) 593-646
3. 0 and its role on global stability. Mathematical Approaches for Emerging and Reemerging Infectious Diseases: An Introduction. IMA vol. 125 (2002), Springer-Verlag 229-250
4. Diekmann O., and Heesterbeek J.A.P. Mathematical Epidemiology of Infectious Diseases, Model Building, Analysis and Interpretation (2000), John Wiley & Son, Chichester
5. Delitala M. Generalized kinetic theory approach to modeling spread and evolution of epidemics. Math. Comput. Modelling 39 (2004) 1-12
6. Esteva L., and Vargas C. Analysis of a dengue disease transmission model. Math. Biosci. 150 (1998) 131-151
7. Esteva L., and Vargas C. A model for dengue disease with variable human population. J. Math. Biol. 38 (1999) 220-240
8. Esteva L., and Vargas C. Coexistence of different serotypes of dengue virus. J. Math. Biol. 46 (2003) 31-47
9. Feng Z., and Velasco-Hernandez J.X. Competitive exclusion in a vector-host model for the dengue fever. J. Math. Biol. 35 (1997) 523-544
10. Gubler D.J., Suharyono W., Tan R., Abidin M., and Sie A. Viraemia in patients with naturally acquired dengue infection. Bull. WHO 59 (1981) 623-630
11. Gubler D.J. Dengue and dengue hemorrhagic fever. Clin. Microbiol. Rev. 11 (1998) 480-496
12. Henchal E.A., and Putnak J.R. The dengue viruses. Clin. Microbiol. Rev. 3 (1990) 376-396
13. Nowak M.A., and May R.M. Virus dynamics: Mathematical Principles of Immunology and Viroloy (2000), Oxford University Press
14. Nuraini N., Soewono E., and Sidarto K.A. A mathematical model of dengue internal transmission process. J. Indones. Math. Soc. (MIHMI) 13-1 (2007) 123-132
15. N. Nuraini, Y. Ari, E. Soewono, K.A. Sidarto, Model matematik penyebaran demam berdarah di dalam tubuh manusia, Prosiding Konferensi Nasional Matematika XIII, FMIPA - UNS, 2007 pp. 765-772
16. Nuraini N., Soewono E., and Sidarto K.A. A mathematical model of dengue disease transmission with severe DHF compartment. Bull. Malay. Math. Sci. Soc. 2-30 (2007) 15-29
17. PAHO, Dengue and dengue hemorrhagic fever in the Americas: Guidelines for prevention and control, Scientific Publication No. 548, Pan American Health Organization, 1994
18. Parks P.C., and Hahn V. Stability Theory (1993), Prentice Hall, London
19. Soewono E., and Supriatna A.K. A two-dimensional model for transmission of dengeu fever disease. Bull. Malay. Math. Sci. Soc. 24 (2001) 49-57
20. Soewono E., and Supriatna A.K. Paradox of vaccination predicted by a simple dengue disease model. In: Joshi M.C., Pani A.K., and Sabnis S.V. (Eds). Industrial Mathematics (2006), Narosa Publishing House 459-470
21. Tropical Disease Research, Making health research work for poor people: Progress 2003-2004, (2005), WHO, Switzerland
22. Vaughn D.W., Green S., Kalyanarooj S., Innis B.L., Nimmannitya S., Suntayakorn S., Endy T.P., Raengsakulrach B., Rothman A.L., Ennis F.A., and Nisalak A. Dengue viremia titer, antibody response pattern, and virus serotype correlate with disease severity. J. Infect. Dis. 181 (2000) 2-9