‘Phylogenetic tree’ of selected articles.

<p>Models are decomposed according to the number of serotypes considered (one (black lines), two (blue full lines) or more than two (red dashed lines) serotypes. Each branch of the tree corresponds to a modification of the initial model owing to additional assumptions. The word “enhancement” refers to the different modelling assumptions to represent the effect of antibody-dependent enhancement (ADE) and CP stands for Cross-Protection. * Extensions of Host-to-Host transmission models <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0049085#pone.0049085-Recker1" target="_blank">[106]</a>, <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0049085#pone.0049085-Nagao1" target="_blank">[115]</a> including the vector population.</p

Literature Search Strategy.

<p>Literature Search Strategy.</p

Formulations of antibody cross-reaction hypotheses in host-to-host transmission models.

<p> is the transmission rate, represents the number of individuals infected with serotype and the number of individuals subsequently infected with serotypes and .</p>*<p>In references <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0049085#pone.0049085-Aguiar1" target="_blank">[113]</a>, <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0049085#pone.0049085-Aguiar2" target="_blank">[114]</a>, Aguiar <i>et al.</i> assumed that a proportion of secondary infected individuals contribute to a lesser extent to the epidemic process due to hospitalisation or isolation. This assumption is based on the evidence that secondary infections are more likely to produce severe clinical expression of the disease. As the antagonist relationship between previously acquired antibodies and secondary infection with an heterologous serotype is certainly involved in the intra-individual disease evolution, we classified this assumption as depending on the antibody cross-reaction hypotheses.</p

Flow chart representation of the selection process.

<p>Sixteen were excluded because of non-English language: Spanish (8), Portuguese (5) and French (3) in the first step of the selection process.</p

Definitions and ranges of the main parameters in vector-host transmission models.

*<p>The range for the vector recruitment rate was derived from modelling studies considering exclusively the adult mosquito population with a constant recruitment rate (<i>i.e.</i> a constant vector population) and providing parameters values for numerical simulations <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0049085#pone.0049085-Esteva1" target="_blank">[19]</a>, <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0049085#pone.0049085-Newton1" target="_blank">[21]</a>, <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0049085#pone.0049085-Garba1" target="_blank">[76]</a>, <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0049085#pone.0049085-Feng1" target="_blank">[88]</a>.</p

Dengue model parameters in host-to-host transmission approaches.

<p>With these parameter values, the basic reproduction number range is 2–4.</p><p>ADE: antibody-dependent enhancement. Here, with values greater than 1, the secondary infected individuals are assumed to contribute to a greater extent than primary infected individuals to the transmission process (<a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0049085#pone-0049085-t003" target="_blank">Table 3</a>).</p