Some strange properties of the logistic equation defined withr andK: Inherent defects or artifacts?

@article{Kuno2006SomeSP,
  title={Some strange properties of the logistic equation defined withr andK: Inherent defects or artifacts?},
  author={E. Kuno},
  journal={Researches on Population Ecology},
  year={2006},
  volume={33},
  pages={33-39}
}
  • E. Kuno
  • Published 2006
  • Biology
  • Researches on Population Ecology
  • In some situations the logistic equation in the usual expression, dN/dt=r(1−N/K)N, exhibits properties that are biologically unrealistic. For example, whenr≦0 the population can no longer show any normal, negative response in per-capita growth rate to increasing density. Also, when the equation is employed in the Volterra's competition model, a familiar but incredible conclusion is derived which says that the outcome of competition is entirely independent of the reproductive potentialr of each… CONTINUE READING
    40 Citations

    Figures from this paper.

    The perfect mixing paradox and the logistic equation: Verhulst vs. Lotka
    • 10
    • PDF
    A law of nature
    • 205
    • PDF
    A simple and bounded model of population dynamics for mutualistic networks
    • 1
    • PDF
    A Fundamental Principle Governing Populations
    • 3
    • PDF
    A lottery model of density-dependent selection in evolutionary genetics
    A SIMPLE A N D B O U N D E D MODEL OF POPULATION DYNAMICS FOR MUTUALISTIC NETWORKS
    Is dispersal always beneficial to carrying capacity? New insights from the multi-patch logistic equation.
    • 30
    • PDF

    References

    SHOWING 1-8 OF 8 REFERENCES
    Resource limited and equilibrium models of populations
    • 25
    The logistic equation and population decline.
    • J. S. Fulda
    • Biology, Medicine
    • Journal of theoretical biology
    • 1981
    • 17
    Ecology: Individuals, Populations and Communities
    • 2,164
    Interspecific competition: a new approach to the classical theory
    • 45
    Ancient DNA from the First European Farmers in 7500-Year-Old Neolithic Sites
    • 457
    • PDF
    The Theory of Island Biogeography
    • 14,251
    • PDF