compLV: Lotka-Volterra Competition Model

In ecovirt/EcoVirtual: Simulation of Ecological Models

Description

Simulate the Lotka-Volterra competition model for two populations.

Usage

compLV(n01, n02, tmax, r1, r2, k1, k2, alfa, beta)

Arguments

n01	initial population for the superior competitor species.
n02	initial population for the inferior competitor species.
tmax	maximum simulation time.
r1	intrinsic growth rate for the superior competitor species.
r2	intrinsic growth rate for the inferior competitor species.
k1	carrying capacity for the superior competitor species.
k2	carrying capacity for the inferior competitor species.
alfa	alfa coefficient.
beta	beta coefficient

Details

The Lotka-Volterra competition model follows the equations:

• SP1:

  dN_1/dt = r_1*N_1*((K_1-N_1-alpha*N_2)/K_1)

• SP2:

  dN_2/dt = r_2*N_2*((K_2-N_2-beta*N_1)/K_2)

Value

'compLV' returns a graph of the population size in time, and a graph with the isoclines of the equilibrium for both species. 'compLV' also returns an invisible matrix with the population size of each species in time.

Author(s)

Alexandre Adalardo de Oliveira [e-mail]

References

Gotelli, N.J. 2008. A primer of Ecology. 4th ed. Sinauer Associates, 291pp. Hastings, A. 1980. Disturbance, coexistence, history and competition for space. Theoretical Population Biology, 18:363-373. Stevens, M.H.H. 2009. A primer in ecology with R. New York, Springer.

See Also

http://ecovirtual.ib.usp.br

Examples

## Not run: 
	compLV(n01=10, n02=10,r1=0.05, r2=0.03, k1=80, k2=50, alfa=1.2, beta=0.5, tmax=200)

## End(Not run)

ecovirt/EcoVirtual documentation built on May 15, 2019, 10:07 p.m.