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[39]Dynamics of transitions between population interactions: a nonlinear interaction
alpha-function defined

   [40]MJ Hernandez - Proceedings of the Royal Society of ..., 1998 -
   royalsocietypublishing.org
   [41]MJ Hernandez
   Proceedings of the Royal Society of London. Series B ..., 1998 o
   royalsocietypublishing.org
   In nature, two populations may interact in different ways during their lifetime,
   and even
   undergo transitions from one type of interaction to another. A model for the
   dynamics of
   these transitions has been developed in this study. The interaction coefficients
   a i in the
   Lotka-Volterra equations are re-interpreted as nonlinear functions of population
   densities N
   i, N j, modulated by environmental parameters, which offers the possibility of a
   change in
   sign. Transitions can take place owing to variations in population density
   (endogenous ...
   In nature, two populations may interact in different ways during their lifetime,
   and even undergo transitions from one type of interaction to another. A model for
   the dynamics of these transitions has been developed in this study. The
   interaction coefficients a[i]in the Lotka-Volterra equations are re-interpreted
   as nonlinear functions of population densities N[i], N[j], modulated by
   environmental parameters, which offers the possibility of a change in sign.
   Transitions can take place owing to variations in population density (endogenous
   effect), or in the environmental parameters (exogenous effect). Models for both
   facultative and obligate associations are examined. Graphical stability analyses
   show that multiple density equilibria are possible, accounting for the occurrence
   of the transitions.
   royalsocietypublishing.org
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