ricker: ricker - a discrete population model

In anthonyluna/Assignment5:

Description

This is an implementation of the adult/juvinile ricker population model.

Usage

ricker(A0, J0, u, y0, a, b, c11, c12, c21, c22)

Arguments

A0	Adult count of species x at timestep 0
J0	Juvenile count of species x at timestep 0 J
u	Juvenile death rate must be between 0 and 1
y0	Total population of species x at timestep 0
a	Reproduction coefficient for species x
b	Reproduction coefficient for species y
c11	Self competition coefficient for species x
c12	Interspecies competition coefficient for species x
c21	Self competition coefficient for species y
c22	Interspecies competition coefficient for species y

Details

This function models the population dynamics of two competing species, one that has a life phase difference and the other that doesn't. This function uses a Adult/Juvinile Ricker model, a discrete competition model and therefore can benefit from the use of a while loop.

Modules:

• Initialize the outputed dataframe

• Use initial counts for first timestep calculation

• Loop discrete function iteration

• Store and return results at the end

Value

timeseries A dataframe with the timestep, the population of species x and species y.

References

Cushing, J.M., Sheree Levarge, Nakul Chitnis, and Shandelle M. Henson. "Some Discrete Competition Models and the Competitive Exclusion Principle." Journal of Difference Equations and Applications 10, no. 13–15 (November 2004): 1139–51. https://doi.org/10.1080/10236190410001652739.

anthonyluna/Assignment5 documentation built on March 22, 2021, 11:03 p.m.