Punctuated Evolution Due to Delayed Carrying Capacity

  title={Punctuated Evolution Due to Delayed Carrying Capacity},
  author={V. I. Yukalov and E. P. Yukalova and D. Sornette},
  • V. I. Yukalov, E. P. Yukalova, D. Sornette
  • Published 2009
  • Mathematics, Physics
  • A new delay equation is introduced to describe the punctuated evolution of complex nonlinear systems. A detailed analytical and numerical investigation provides the classification of all possible types of solutions for the dynamics of a population in the four main regimes dominated respectively by: (i) gain and competition, (ii) gain and cooperation, (iii) loss and competition and (iv) loss and cooperation. Our delay equation may exhibit bistability in some parameter range, as well as a rich… CONTINUE READING
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