The Leslie-Gower Model by Mike Martin

This page generates plots and data for the Leslie-Gower Model:

The model helps to describe the dynamics between the population levels of two different insect species; one of the species, the host, can be used to host the eggs of the other insect species, a parasite. H_{t} is the density of the host species in generation t and P_{t} is the density of the parasite species in generation t. The parameters, α_{1} and α_{2}, represent the growth rates of each species in the absence of the other species. γ_{1} is a non-negative parameter that with increasing values restricts the population of the host. Similarly, γ_{2} is a parameter that can, with large values, restrict the population size of the parasites; note, too, that the ratio of P_{t} to H_{t} in the denominator of the second equation results in a restricted parasite population when the host population is small. T is the last generation considered with the simulation. H_{1} is the initial host population and P_{1} is the initial parasite population. The sequence H_{t} is displayed in the graph in BLUE and the sequence P_{t} is given in BROWN.

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

α_{1} =

α_{2} =

γ_{1} =

γ_{2} =

T =

H_{1} =

P_{1} =

References:

To be added.