Question

The general life cycle for a mosquito consists of 4 life stages: eggs (E), larvae (L), pupae (P), and adults(A). Adult females will lay, on average, ρ eggs / female.

These eggs have a probability of surviving (σe) to the larval stage (L). Once in the larval stage, larvae survive with a weekly survival probability of σL. The surviving larvae transition to the pupal stage with a probability (x) or they stay in the larval stage with a probability (1-x). Once in the pupal stage, pupae survive with a probability of σP and transition to the adult stage.

Adult Emerges Adult Mosquito Life Cycle Larva Pupa Eggs

Knowing the above information, and that mosquitoes have a sex ratio φ, fill in the diagram above with the appropriate transitions. Assuming it takes a week for mosquitoes to transition from each life stage to the next, what would be the equations for how densities change within each life stage if we project out a time step (i.e.,1 week)

3. Pt+1= ?

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Aauld Adult Joe Lary a papa 0

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