Spatiotemporal dynamics of two generic predator-prey models.

@article{Garvie2010SpatiotemporalDO,
  title={Spatiotemporal dynamics of two generic predator-prey models.},
  author={Marcus R. Garvie and Catalin Trenchea},
  journal={Journal of biological dynamics},
  year={2010},
  volume={4 6},
  pages={559-70}
}
We present the analysis of two reaction-diffusion systems modelling predator-prey interactions, where the predator displays the Holling type II functional response, and in the absence of predators, the prey growth is logistic. The local analysis is based on the application of qualitative theory for ordinary differential equations and dynamical systems, while the global well-posedness depends on invariant sets and differential inequalities. The key result is an L(∞)-stability estimate, which… CONTINUE READING

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