Dynamical Transmission Model of Chikungunya in Thailand
Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 32799
Dynamical Transmission Model of Chikungunya in Thailand

Authors: P. Pongsumpun

Abstract:

One of the important tropical diseases is Chikunkunya. This disease is transmitted between the human by the insect-borne virus, of the genus Alphavirus. It occurs in Africa, Asia and the Indian subcontinent. In Thailand, the incidences due to this disease are increasing every year. In this study, the transmission of this disease is studied through dynamical model analysis.

Keywords: Chikunkunya, dynamical model, Endemic region, Routh-Hurwitz criteria.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1060874

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1318

References:


[1] R. M. Anderson, and R. M. May, Infectious diseases of humans: Dynamics and Control, Oxford university press: Oxford, 1991.
[2] O. Dickman, and J. A.P. Heesterbeck, Mathematical epidemiology of infectious disease Wiley Series in Mathematical and Computational Biology, Wiley: New York, 2000.
[3] H. W. Hethcote, "The mathematics of infectious disease," SIAM Rev, vol. 42, pp. 599, 2000.
[4] M. Derouich, A. Boutayeb and E. H. Twizell, "A model of dengue fever," BioMed. Eng. Online, vol. 2, 2003.
[5] L. Esteva and C. Vargas, "Analysis of a dengue disease transmission model," Math. Biosci, vol. 150, pp. 131, 1998.
[6] L. Esteva and C. Vargas, "A model for dengue disease with variable human population," Math. Biosci, vol. 38, pp. 220, 1999.
[7] N. Bacaer, "Approximation of the basic reproduction number R0 for vector-borne diseases with a periodic vector population," Bull. MathBio, vol. 69, pp. 1067, 2007.
[8] R. W. Ross, "The Newala epidemic. III. The virus; isolation, pathogenic properties and relationship to the epidemic," J Hyg, vol. 54, pp. 177-191, 1956.
[9] W. McD. Hammon, A. Rudnick and GE. Sather, "Viruses associated with epidemic hemorrhagic fevers of the Philippines and Thailand," Science, vol. 131, pp. 1102-1103, 1960.
[10] U. Thavara, and et. al, "Outbreak of chikungunya fever in Thailand and virus detection in field population of vector mosquitoes, Aedes aegypti and Aedes albopictus skuse (diptera:culicidae)," Southeast Asian J Trop Med Public Health, vol. 40, pp. 951-962, 2009.
[11] P.Moor, F.Steffens, "A computer-simulated model of an arthropod- borne virus transmission cycle, with special reference to Chikungunya virus,"Transaction of Royal Soiety Tropical Medicineand Hygiene, vol. 64, pp. 927-934, 1970.
[12] N.Bacaer, "Approximation of the basic reproduction number R0 for vector-borne diseases with a periodic vector population." Bulletin of Mathematical Biology, vol. 69, pp. 1067-91, 2007.
[13] Y. Dumont, F. Chiroleu, and C. Domerg, "On a temporal model for the Chikungunya disease: Modeling, theory and numerics," Mathematical Biosciences, vol. 213, pp. 80-91, 2008.