Myer: Discrete-time model with an allee effect for alpha > 1

In cboettig/pdg_control: Pretty Darn Good Control

Description

Discrete-time model with an allee effect for alpha > 1

Usage

  Myer(x, h, p)

Arguments

x	the current population level
h	harvest effort
p	vector of parameters c(r, alpha, K)

Details

A Beverton-Holt style model with Allee effect. note that as written, h is fishing EFFORT, not harvest. Effort above a certain value introduces a fold bifurcation. Unharvested carrying capacity is: K <- p[1] * p[3] / 2 + sqrt( (p[1] * p[3]) ^ 2 - 4 * p[3] ) / 2 The (unharvested) allee theshold is given by: x = p[1] * p[3] / 2 - sqrt( (p[1] * p[3]) ^ 2 - 4 * p[3] ) / 2 Bifurcation pt is h = (p[1]*sqrt(p[3])-2)/2 Try with pars = c(1,2,6), h=.01

Consider updating to be a function of x-h, instead?

Value

the population level in the next timestep

cboettig/pdg_control documentation built on May 13, 2019, 2:10 p.m.