A Within-Host Model of Dengue Viral Infection Dynamics

A generalized within-host model of dengue infection with a non-constant monocyte production rate

“…Many of the current models of within-host dengue infection have several components in common [3,8,9,12,[16][17][18]21]. They consist of a system of ordinary differential equations with four equations describing the susceptible monocyte population, S(t), the infected monocyte population, I(t), the viral load V(t), and the immune response, Z(t).…”

“…One identical common aspect in all of those models is the equation for the susceptible population, where there is the assumption that monocyte production is constant, even during infection. The model studied in [16] is similar to the one in [21] with the novelty of including the effects of antibodies on the dynamics. The inclusion of antibodies in the modelling of within-host infection is also considered in [12,17].…”

“…α = β. In [16], it is assumed for the purpose of numerical simulation that α < β. After noting this, we can see from (2) that once the total monocyte level is below the disease-free equilibrium value for the monocyte population, it can never again attain values above it.…”

“…There have been many mathematical studies of dengue infection. Of those, relatively few references [3,8,9,12,[16][17][18][19]21] are concerned with within-host dynamics. In all of these, it is assumed that the production of target cells (monocytes) is constant.…”

Global Dynamics of Secondary DENV Infection with Diffusion

“…e World Health Organization (WHO) [19] has reported that an infected individual by one serotype will have lifelong immunity against that serotype but only temporary and partial cross-immunity to the other three serotypes. Mathematical models of DENV dynamics pertaining to secondary infection with another serotype have been developed in [20][21][22][23][24][25]. Gujarati and Ambika [20] have formulated the following DENV infection model:…”