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The relaxation of May's conjecture for the logistic equation

Authors
Journal
Applied Mathematics Letters
0893-9659
Publisher
Elsevier
Publication Date
Volume
9
Issue
5
Identifiers
DOI: 10.1016/0893-9659(96)00073-0
Keywords
  • Uncertainty
  • Noise
  • Stability
  • Attractor

Abstract

Abstract When modelling a physical problem by a deterministic system, random effects often need to be taken into account. By including these uncertainties, a stable equilibrium of a system is going to persist up to a point that the variations are large enough to drive the system to instability at that equilibrium. By considering a simple population model, the logistic model with uncertainty in the carrying capacity, it is possible to find a bound on the amount of noise required in the system to do this. The bound is a relaxation of the bound given by May's conjecture.

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