Journal
THEORETICAL ECOLOGY
Volume 3, Issue 4, Pages 209-221Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s12080-009-0064-2
Keywords
Extinction; Persistence; Discrete dynamical system; Bifurcation; Bimodal map
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Funding
- Spanish Ministry of Science and Innovation
- FEDER [MTM2007-60679]
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We study the effects of constant harvesting in a discrete population model that includes density-independent survivorship of adults in a population with overcompensating density dependence. The interaction between the survival parameter and other parameters of the model (harvesting rate, natural growth rate) reveal new phenomena of survival and extinction. The main differences with the dynamics of survival and extinction reported for semelparous populations with overcompensatory density dependence are that there can be multiple windows of extinction and conditional persistence as harvesting increases or the intrinsic growth rate is increased, and that, in case of bistability, the basin of attraction of the nontrivial attractor may consist of an arbitrary number of disjoint connected components.
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