Uniqueness and stability of steady states for a predator-prey model in heterogeneous environment

Proceedings of the American Mathematical Society

Volumn 136, Issue 3, 2008, Pages 859-865

  Peng, Rui ^a   Wang, Mingxin ^b  

^a CHINA THREE GORGES UNIVERSITY   (China)

^b SOUTHEAST UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 53349134040     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-07-09061-2     Document Type: Article

References (5)

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2. Y. H. Du and Q. G. Huang, Blow-up solutions for a class of semilinear elliptic and parabolic equations, SIAM J. Math. Anal., 31(1999), 1-18. MR1720128 (2000g:35059)
3. Y. H. Du and M. X. Wang, Asymptotic behavior of positive steady-states to a predator-prey model, Proc. Roy. Soc. Edinburgh Sect. A, 136(2006), 759-778. MR2250444 (Pubitemid 44326706)
4. J. López-Gómez and R. M. Pardo, Invertiblility of linear noncooperative elliptic systems, Nonlinear Anal., TMA, 31(1998), 687-699. MR1487855 (99b:34046) (Pubitemid 128397211)
5. Y. Lou and W. M. Ni, Diffusion vs cross-diffusion: an elliptic approach, J. Diff. Equns., 154 (1999), 157-190. MR1685622 (2000c:35042)