Construct and interpret Leslie matrices and life-cycle diagrams
A hive model follows a counted bee cohort through equal-width stages
The groups are listed in their declared progression from the first group to the last group
Each group has width 1 week; one recurrence step advances one such interval
All individuals in each stage are counted; each fertility rate is the expected number of entrants to the first stage per current individual in one model period
Write the state as a column in the order eggs, larvae, pupae. In \(L\), rows are destination groups and columns are source groups
\[S_0 = \begin{bmatrix} 317 \\ 191 \\ 359 \end{bmatrix}\]
\[L = \begin{bmatrix} 3.6 & 2.4 & 2 \\ 0.4 & 0 & 0 \\ 0 & 0.2 & 0 \end{bmatrix}\]