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For an SI type endemic model with one host and two parasite strains, we study the
stability of the endemic coexistence equilibrium, where the host and both parasite strains
are present. Our model, which is a system of three ordinary differential equations,
assumes complete cross-protection between the parasite strains and reduced fertility and
increased mortality of infected hosts. It also assumes that one parasite strain is
exclusively vertically...
A possible control strategy against the spread of an infectious disease is the treatment
with antimicrobials that are given prophylactically to those that had contact with an infective person.
The treatment continues until recovery or until it becomes obvious that there was no infection
in the first place. The model considers susceptible, treated uninfected exposed, treated infected,
(untreated) infectious, and recovered individuals. The overly optimistic assumptions are made that
treated uninfected...
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