Comput Math Methods Med - Dynamics of a new strain of the H1N1 influenza A virus incorporating the effects of repetitive contacts.

Tópicos

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Resumo

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.

Resumo Limpo

respiratori diseas caus influenza virus occur worldwid transmiss new strain hn influenza virus studi formul seiqr suscept expos infect quarantin recov model describ spread present model assum fraction infect popul will die diseas chang mathemat equat govern transmiss effect repetit contact also includ model analysi model use standard dynam model method given condit stabil equilibrium state given numer solut present differ valu paramet found increas amount repetit contact lead decreas peak number expos infecti human stabil analysi show solut robust

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