The Existence of Nonconstant Positive Solution for a Prey-Predator Model with Cross-Diffusion
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The Existence of Nonconstant Positive Solution for a Prey-Predator Model with Cross-Diffusion
Acta Scientiarum Naturalium Universitatis SunYatseniVol. 51, Issue 1, Pages: 14-18(2012)
作者机构:
1. 陕西师范大学数学与信息科学学院,陕西,西安,710062
2.
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Published:2012,
Published Online:25 January 2012,
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WANG Lijuan, , JIANG Hongling. The Existence of Nonconstant Positive Solution for a Prey-Predator Model with Cross-Diffusion. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 51(1):14-18(2012)
DOI:
WANG Lijuan, , JIANG Hongling. The Existence of Nonconstant Positive Solution for a Prey-Predator Model with Cross-Diffusion. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 51(1):14-18(2012)DOI:
The Existence of Nonconstant Positive Solution for a Prey-Predator Model with Cross-Diffusion
The existence of positive solutions is discussed for a prey-predator model with cross-diffusion. The prior estimate to the positive solutions of the model is given by means of maximum principle and Harnack inequality. By using the integral property
the nonexistence of the nonconstant positive solutions is proved. The sufficient conditions for the existence of nonconstant positive solutions are obtained.
关键词
交叉扩散非常数正解度理论
Keywords
cross-diffusionnonconstant positive solutiondegree theory