Swine Flu Transmission Model in Risk and Non-Risk Human Population
The Swine flu outbreak in humans is due to a new
strain of influenza A virus subtype H1N1 that derives in part from
human influenza, avian influenza, and two separated strains of swine
influenza. It can be transmitted from human to human. A
mathematical model for the transmission of Swine flu is developed in
which the human populations are divided into two classes, the risk
and non-risk human classes. Each class is separated into susceptible,
exposed, infectious, quarantine and recovered sub-classes. In this
paper, we formulate the dynamical model of Swine flu transmission
and the repetitive contacts between the people are also considered.
We analyze the behavior for the transmission of this disease. The
Threshold condition of this disease is found and numerical results are
shown to confirm our theoretical predictions.
[1] D. Gordon. "Swine Influenza Virus," Advance in Pork Production, vol.
12, pp. 51-54, 2001.
[2] SA. Dee, Respiratory Disease of Pigs. In The Merck Veterinary
Manuath 9th edition. Pensylvania: National Publishing Inc, 2005, pp.
1228.
[3] WHO. Pandemic (H1N1) 2009-update 70. (Online) 2009.
Available:http//www.who.int/csr/disease/swinflu/en/.
[4] S. Kupradinun, C. Bhodhikosoom, Y. Yoshioka, A. Endo, and K.
Nerome, "The first isolation of swine H1N1 influenza viruses from pigs
in Thailand," Arch Virol, vol. 118, pp. 289-297, 1991.
[5] S. Damrongwatanapokin, W. Pinychon, S. Parchariyanon, and T.
Damrongwatanapokin, "Serological study and isolation of influenza A
virus infection of pigs in Thailand," Proceeding of the 19th IPVS
Congress 16-19 July 2006, Denmark, vol. 136, 2006.
[6] Annual report H1N1. Available:http://epid.moph.go.th.
[7] FS. Dawood, S. Jain, L. Finelli, MW. Shaw, S. Lindstrom, RJ. Garten,
LV. Gubareva, X. Xu, CB. Bridges, and TM. Uyeki, "Emergence of a
novel swine origin influenza A (H1N1) virus in human." N. Engl J Med,
vol. 360, pp. 2605, 2009.
[8] R.M. Anderson, and R.M. May, Infection Disease of Humans, Dynamics
and Control. Oxford U. Press: Oxford, 1991.
[9] A. Kammanee, N. Kanyamee, and I. M. Tang, "Basic Reproduction
Number for the Transmission of Plasmodium Vivax Malaria," Southeast
Asian J. Trop. Med. and Pub. Health, vol. 32, pp. 702-706, 2001.
[10] L. Esteva, and C. Vargas, "Analysis of dengue disease transmission
model," Math BioSci, vol. 150, pp. 131-151, 1998.
[11] P. Pongsumpun, and I.M.Tang , "The Transmission Model of P.
falciparum and P. Vivax Malaria between Thai and Burmese,"
International Journal of Mathematical Models and Methods in Applied
Sciences, vol. 3, pp. 19-26, 2009.
[1] D. Gordon. "Swine Influenza Virus," Advance in Pork Production, vol.
12, pp. 51-54, 2001.
[2] SA. Dee, Respiratory Disease of Pigs. In The Merck Veterinary
Manuath 9th edition. Pensylvania: National Publishing Inc, 2005, pp.
1228.
[3] WHO. Pandemic (H1N1) 2009-update 70. (Online) 2009.
Available:http//www.who.int/csr/disease/swinflu/en/.
[4] S. Kupradinun, C. Bhodhikosoom, Y. Yoshioka, A. Endo, and K.
Nerome, "The first isolation of swine H1N1 influenza viruses from pigs
in Thailand," Arch Virol, vol. 118, pp. 289-297, 1991.
[5] S. Damrongwatanapokin, W. Pinychon, S. Parchariyanon, and T.
Damrongwatanapokin, "Serological study and isolation of influenza A
virus infection of pigs in Thailand," Proceeding of the 19th IPVS
Congress 16-19 July 2006, Denmark, vol. 136, 2006.
[6] Annual report H1N1. Available:http://epid.moph.go.th.
[7] FS. Dawood, S. Jain, L. Finelli, MW. Shaw, S. Lindstrom, RJ. Garten,
LV. Gubareva, X. Xu, CB. Bridges, and TM. Uyeki, "Emergence of a
novel swine origin influenza A (H1N1) virus in human." N. Engl J Med,
vol. 360, pp. 2605, 2009.
[8] R.M. Anderson, and R.M. May, Infection Disease of Humans, Dynamics
and Control. Oxford U. Press: Oxford, 1991.
[9] A. Kammanee, N. Kanyamee, and I. M. Tang, "Basic Reproduction
Number for the Transmission of Plasmodium Vivax Malaria," Southeast
Asian J. Trop. Med. and Pub. Health, vol. 32, pp. 702-706, 2001.
[10] L. Esteva, and C. Vargas, "Analysis of dengue disease transmission
model," Math BioSci, vol. 150, pp. 131-151, 1998.
[11] P. Pongsumpun, and I.M.Tang , "The Transmission Model of P.
falciparum and P. Vivax Malaria between Thai and Burmese,"
International Journal of Mathematical Models and Methods in Applied
Sciences, vol. 3, pp. 19-26, 2009.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:52929", author = "P. Pongsumpun", title = "Swine Flu Transmission Model in Risk and Non-Risk Human Population", abstract = "The Swine flu outbreak in humans is due to a new
strain of influenza A virus subtype H1N1 that derives in part from
human influenza, avian influenza, and two separated strains of swine
influenza. It can be transmitted from human to human. A
mathematical model for the transmission of Swine flu is developed in
which the human populations are divided into two classes, the risk
and non-risk human classes. Each class is separated into susceptible,
exposed, infectious, quarantine and recovered sub-classes. In this
paper, we formulate the dynamical model of Swine flu transmission
and the repetitive contacts between the people are also considered.
We analyze the behavior for the transmission of this disease. The
Threshold condition of this disease is found and numerical results are
shown to confirm our theoretical predictions.", keywords = "Mathematical model, Steady state, Swine flu,threshold condition.", volume = "4", number = "8", pages = "1091-6", }