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Asymptotic behaviour of positive steady states to a predator—prey model

  • Yihong Du (a1) and Mingxin Wang (a2)


To understand the heterogeneous spatial effect on predator–prey models, we study the behaviour of the positive steady states of a predator–prey model as certain parameters are small or large. We compare the case when the model has a spatial degeneracy with the case when it does not have such a degeneracy. Our results show that the effect of the degeneracy can be clearly observed in one limiting case, but not in the others.



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