title: Dynamics of a new strain of the H1N1 influenza A virus incorporating the effects of repetitive contacts.
abstract: The respiratory disease caused by the Influenza A Virus is occurring worldwide. The transmission for new strain of the H1N1 Influenza A virus is studied by formulating a SEIQR (susceptible, exposed, infected, quarantine, and recovered) model to describe its spread. In the present model, we have assumed that a fraction of the infected population will die from the disease. This changes the mathematical equations governing the transmission. The effect of repetitive contact is also included in the model. Analysis of the model by using standard dynamical modeling method is given. Conditions for the stability of equilibrium state are given. Numerical solutions are presented for different values of parameters. It is found that increasing the amount of repetitive contacts leads to a decrease in the peak numbers of exposed and infectious humans. A stability analysis shows that the solutions are robust.
authors.affiliation: Department of Mathematics, Faculty of Science, King Mongkut's Institute of Technology Ladkrabang, Chalongkrung Road, Ladkrabang, Bangkok 10520, Thailand.
authors.forename: Puntani
authors.initials: P
authors.lastname: Pongsumpun
authors.affiliation: Department of Mathematics, Faculty of Science, Silpakorn University, Nakhon Pathom 73000, Thailand ; Department of Physics, Faculty of Science, Mahidol University, Bangkok 10400, Thailand.
authors.forename: I-Ming
authors.initials: IM
authors.lastname: Tang
mesh_terms: D000465:Algorithms; D000818:Animals; D003140:Communicable Disease Control; D003198:Computer Simulation; D004196:Disease Outbreaks; D006801:Humans; D053118:Influenza A Virus, H1N1 Subtype; D007251:Influenza, Human / Q000635:transmission / Q000821:virology*; D008962:Models, Theoretical; D009976:Orthomyxoviridae Infections / Q000635:transmission / Q000821:virology*; D011790:Quarantine; D012680:Sensitivity and Specificity; D013997:Time Factors
references.citation: Theor Biol Med Model. 2009 Jun 29;6:11
references.pmid: 19563624
references.citation: N Engl J Med. 2009 Jun 18;360(25):2605-15
references.pmid: 19423869
references.citation: Arab J Math. 2012;1(2):267-282
references.pmid: 38624337
references.citation: Eur J Epidemiol. 2011 Jul;26(7):583-4; author reply 584
references.pmid: 21779852
references.citation: Theor Biol Med Model. 2013 May 04;10:30
references.pmid: 23642092
references.citation: Ann Appl Stat. 2012 Mar;6(1):1-26
references.pmid: 22639701
references.citation: Arch Virol. 1991;118(3-4):289-97
references.pmid: 1648899
references.citation: Math Biosci. 1998 Jun 15;150(2):131-51
references.pmid: 9656647
references.citation: MMWR Morb Mortal Wkly Rep. 2013 May 10;62(18):366-71
references.pmid: 23657113
references.citation: Math Biosci Eng. 2011 Jan;8(1):141-70
references.pmid: 21361405
references.citation: J Infect Dis. 2012 Dec 15;206(12):1862-71
references.pmid: 23045622
references.citation: Math Biosci. 2013 Mar;242(1):9-16
references.pmid: 23274179
references.citation: BMC Public Health. 2011 Feb 25;11 Suppl 1:S9
references.pmid: 21356138
references.citation: PLoS One. 2011 Mar 24;6(3):e17908
references.pmid: 21455307
references.citation: Math Biosci. 2003 Dec;186(2):145-73
references.pmid: 14583170
references.citation: PLoS Med. 2011 May;8(5):e1000436
references.pmid: 21629683
references.citation: Comput Math Methods Med. 2012;2012:978901
references.pmid: 22649483