Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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QUALITATIVE ANALYSIS OF AUTOTROPH-HERBIVORE SYSTEM WITH NUTRISENT DIFFUSION

  • Kim, S. (Department of Mathematics Ewha Women's University)
  • Published : 1999.09.01

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Abstract

We consider the mathematical model of a resource-based autotroph-herbivore system where diffusion of nutrient within the soil is taken into account. We have derived the conditions for the existence of steady-state to the system and studied the stability and instability of the patially homogeneous case. Then we have introduced the diffusion term to the system and studied the qualitative behabviour of the spatially inhomogeneous case. Finally we have discussed the salient features of the analytical results giving also the ecological interpretations.

Keywords

References

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