TITLE:
A Within-Host Model of Dengue Infection with a Non-Constant Monocyte Production Rate
AUTHORS:
Jeremy J. Thibodeaux, Michael Hennessey
KEYWORDS:
Dengue, Within-Host Model, Net Reproductive Rate, Treatment Scenarios
JOURNAL NAME:
Applied Mathematics,
Vol.7 No.18,
December
22,
2016
ABSTRACT: In this paper we modify previous models to
develop a new model of within-host dengue infection without the assumption that
monocyte production is constant. We show that this new model exhibits behavior
not seen in previous models. We then proceed by obtaining an expression for the
net reproductive rate of the virus and thus establish a stability result. We
also perform a sensitivity analysis to test various treatment strategies and
find that two strategies might be fruitful. One is the reduction of the
infection rate of monocytes by viruses and the other, more effective,
theoretical approach is to reduce the number of new viruses per infected
monocyte.