a1 School of Mathematics, Statistics and Computer Science, University of New England, Armidale, NSW 2351, Australia, and Department of Mathematics, Qufu Normal University, Qufu, Shandong 273165, People's Republic of China (email@example.com)
a2 Department of Mathematics, Xuzhou Normal University, Xuzhou 221116, People's Republic of China, and Department of Mathematics,Southeast University, Nanjing 210018, People's Republic of China (firstname.lastname@example.org)
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.
(Received July 12 2004)
(Accepted August 24 2005)