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1 of 8 0-day streak

Construct and interpret Leslie matrices and life-cycle diagrams

Question 1 of 8

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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

\[S_0 = \begin{bmatrix} 317 \\ 191 \\ 359 \end{bmatrix}\]
\[L = \begin{bmatrix} 3.6 & 2.4 & 2 \\ 0.4 & 0 & 0 \\ 0 & 0.2 & 0 \end{bmatrix}\]
1 mark

Determine the exact entry \(L_{2,1}\)