Models for dengue transmission and control

Abstract

The transmission dynamics of dengue, a mosquito-transmitted disease is studied via a model that includes a simplified view of the life-history of the vector. It is shown that selective biological vector control measures can support multiple vector densities. The role of seasonality in the implementation of transmission rates is explored. The implications of model results to dengue dynamics and its control are discussed.

Mathematical and Statistical models as tools for the control of mosquito-borne diseases: The experience of Costa Rica

“…Methods. Throughout history different mathematical models have been used to study the dynamics and behavior of vector-borne diseases [17,18,19,20,21,22,23,24] among others. These models address questions related to population disease dynamics.…”

Dengue model with early-life stage of vectors and age-structure within host

“…We include some numerical results where g(N v ), β v and δ depend periodically on time, simulating high and low seasons in the dynamics of vectors. Here we use param- eters for the vector classes as in [11]. We consider a population with only susceptible humans.…”

“…The model we present here incorporates age-structure within the host population, as well as the early-life stage of the vector as in [11]. The inclusion of age-structure in the human/host population can help to determine prevention and control strategies based on specific population age groups and other social factors inherent to a subgroup of the population at risk.…”

Comparative analysis of dengue versus chikungunya outbreaks in Costa Rica

“…Previous dengue models focus on a more theoretical approach, including but limiting to, linear stability analysis, bifurcation analysis, next generation operators, etc, [12,21,19,22,23]. Additional studies that factor in climatological variables are [9,10,11].…”