LPA Model by Mike Martin

This page generates plots and data for discrete model of population levels for three different developmental stages within a species. The model equations are:

The model helps to describe the dynamics between the population levels of three different developmental classes within a species -- Larva ( L_{t} ), Pupa ( P_{t} ), and Adult ( A_{t} ). b represents the average number of larvae produced per adult. μ_{a} and μ_{l} are the mortality fractions of adults and larvae. The fractions exp(-c_{el}L_{t}) and exp(-c_{ea}A_{t}) are the probabilities that an egg is not eaten in the presence of L_{t} larve and A_{t} adults in one time unit. The fraction exp(-c_{pa}A_{t}) is the survival probability of pupa in the presence of A_{t} adults in one time unit. T is the last generation considered with the simulation. L_{1}, P_{1}, and A_{1} are the initial conditions.

The sequence L_{t} is displayed in the graph in BLUE, the sequence P_{t} is given in BROWN, and the sequence A_{t} is given in PURPLE.

Enter in the values of the non-negative parameters (described above), then press the "Evaluate" button.

b =

c_{ea} =

c_{el} =

μ_{l} =

c_{pa} =

μ_{a} =

L_{1} =

P_{1} =

A_{1} =

T =

References:

LPA Model