Persistence in Systems with Diffusion

  • V. Hutson
  • W. Moran
Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 257)


A great part of the literature in mathematical biology has been focussed on systems governed by autonomous ordinary differential equations. For systems of order greater than two, the dynamics may be extremely complex, and in most cases it is difficult to say much about the detailed behaviour of the system. However, from a biological point of view, the fine structure of the dynamics is often not of primary interest, and probably the most important question concerns the conditions under which the long term persistence of species, genotypes etc. is ensured. This is the question that is considered here.


Reaction Diffusion System Kinetic System Liapunov Function Interior Equilibrium Point Autonomous Ordinary Differential Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© International Institute for Applied Systems Analysis, Laxenburg/Austria 1985

Authors and Affiliations

  • V. Hutson
    • 1
  • W. Moran
    • 2
  1. 1.Department of Applied MathematicsSheffield UniversitySheffieldEngland
  2. 2.Department of Pure MathematicsUniversity of AdelaideAdelaideAustralia

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