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[38]Graphical stability, enrichment, and pest control by a natural enemy

   HI Freedman - Mathematical Biosciences, 1976 - Elsevier
   A two-dimensional mathematical model for predator-prey interactions is proposed.
   Stability
   of the equilibrium is examined in the light of a graphical method of Rosenzweig
   and
   MacArther. A second graphical method is also discussed. The phase-plane behavior
   of the
   model is analyzed. A perturbed form of the model is introduced, and its relation
   to pest
   control is discussed. In varying the carrying capacity, the relation to
   enrichment is analyzed.
   In addition the stabilizing effects due to the addition of a source term are
   noted.
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