Infection of a Homogeneous Population by a Known Bacterium

by Arthur Maknenko

Submitted : Spring 2009

In order for the development of antibiotics and vaccines to be successful, the lifecycle and the infection pattern of an intended pathogen must be well studied. The aim of this paper is to determine the rate of replication and the pattern of infection in a homogeneous population which may or may not have an effective immunity or an immunization program against the pathogen. Three calculus based functions will be used, one will determine the rate with which the pathogen replicates, second will show the result of an infection by a single individual of a susceptible population without a removal rate, while the third will include the removal rate and its dependent factor, intensity.

[ Back ]