dc.contributor.author | Onyango, Nelson O | |
dc.date.accessioned | 2014-12-11T09:51:47Z | |
dc.date.available | 2014-12-11T09:51:47Z | |
dc.date.issued | 2014 | |
dc.identifier.citation | Onyango, Nelson Owuor. "Multiple Endemic Solutions in an Epidemic Hepatitis B Model without Vertical Transmission." Applied Mathematics 5.16 (2014): 2518. | en_US |
dc.identifier.uri | http://hdl.handle.net/11295/77299 | |
dc.description.abstract | This paper examines the dynamics of Hepatitis B via a Susceptible Exposed Infectious Recovered (SEIR) type epidemic model. Previous studies have shown that Hepatitis B is characterized by multiple endemic solutions, a matter which may be of concern in developing control strategies. We identify the possible causes of multiple endemic solutions in a Hepatitis B model and conclude that the dependance of the probability of carriage development (q(Λ)) on the force of infection (Λ) is the main reason for multiple endemicity. Other factors such as a large proportion of infants that are not vaccinated (ω) may also enhance the possibility of multiple endemicity. The role of carriers may also play a key role in the possibility of such complex dynamics, i.e., when infectiousness of carriers-(α) is high, the probability of existence of multiple endemic equilibrium solutions is increased. In our arguments, the traditional reproduction number R0< 1 which we define here by a function G(0) < 1 does not imply stability of disease-free equilibrium. | en_US |
dc.language.iso | en | en_US |
dc.publisher | University of Nairobi | en_US |
dc.subject | SEIR Epidemic Models, Endemic Equilibriums, Hepatitis B | en_US |
dc.title | Multiple Endemic Solutions in an Epidemic Hepatitis B Model without Vertical Transmission | en_US |
dc.type | Article | en_US |
dc.type.material | en_US | en_US |