Dynamical Transmission Model of Chikungunya in Thailand
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.
[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.
[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.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:54436", author = "P. Pongsumpun", title = "Dynamical Transmission Model of Chikungunya in Thailand", 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.", volume = "4", number = "8", pages = "1108-5", }
