4. Model variables and parameters

In mathematical modeling terminology, SB, IB, SM, and IM are known as variables. They represent the number of individuals in each of those four groups, and are shown in FIGURE 3 as boxes. Since we were interested in how the values of these variables change over time, we defined time as an additional variable, denoted t.

The fate of individuals in each group is described by parameters, which are indicated in FIGURE 3 by arrows. We estimated the values of the parameters from published biological literature on birds and mosquitoes. To focus our model on the New York City outbreak, we used biological data for the hardest-hit bird hosts, American crows Corvus brachyrhynchos, and the most common mosquito vectors, Culex pipiens.