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Pruess, J. and Schappacher, W. (1984) Semigroup Methods for Age-Structured Population Dynamics. In: Chatterji, S., Fuchstainer, B., Kulisch, U. and Liedl, R., Eds., Jarbuch überblicke Mathematik, Viewing Verlag.

has been cited by the following article:

• TITLE: Multiple Endemic Solutions in an Epidemic Hepatitis B Model without Vertical Transmission

  AUTHORS: Nelson Owuor Onyango

  KEYWORDS: SEIR Epidemic Models, Endemic Equilibriums, Hepatitis B

  JOURNAL NAME: Applied Mathematics, Vol.5 No.16, September 2, 2014

  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 R0G(0)