Abstract: In this paper we model parasite development in infected blood cells via an age structured population equation coupled to a boundary condition which yields the number of newly infected cells at time of age zero in terms of the number of cells which burst at time and release daughter parasites into the blood stream which quickly invade uninfected red blood cells. Sharp conditions for the existence of nontrivial equilibrium distributions are established as are conditions for the stability of the trivial and non-trivial equilibrium distributions. When these conditions are violated, steady state oscillatory solutions are established and these are examined.

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