In order for the development of antibiotics and vaccines to be successful, the lifecycle and infection pattern of a pathogen must be studied well. In this paper, we study the rate of replication and the pattern of infection in a homogeneous population, which may or may not have an effective immunity or immunization program against the pathogen. We utilize three functions: one will determine the rate with which the pathogen replicates; the second will show the result of an infection by a single individual of a susceptible population without a removal rate; and the third will include the removal rate and its dependent factor, intensity.
"Infection of a Homogeneous Population by a Known Bacterium,"
Undergraduate Journal of Mathematical Modeling: One + Two:
2, Article 6.
DOI: http://dx.doi.org/10.5038/2326-36184.108.40.206 Available at: http://scholarcommons.usf.edu/ujmm/vol1/iss2/6
Arcadii Grinshpan, Mathematics and Statistics
Gordon Fox, Integrative Biology