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《Journal of Anhui Normal University(Natural Science)》 2011-06
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Stationary Partterns of Gause-Type Prey-Predator Model with Diffusion and Cross-Diffusion

WANG Shan-shan,LI Yan-ling(College of Mathematics and Information Science,Shaanxi Normal University,Xi'an 710062,China)  
A Gause-type predator-prey model with diffusion and cross-diffusion under homogeneous Neumann boundary condition are investigated.First,by means of the maximum principle and Harnack inequality,a priori estimate for upper and lower bounds is discussed.Second,by using the intergral property,the non-existence of the non-constant postive solusion is studied.Third,the existence of steady-state solutions is proved by the priori upper and lower bounds and Leray-Schuder degree theory.
【Fund】: 国家自然科学基金资助项目(10971124);; 教育部高等学校博士点专项资助项目(200807180004)
【CateGory Index】: O175
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【Citations】
Chinese Journal Full-text Database 1 Hits
1 MA Cui,LI Yan-ling(College of Mathematics and Information Science,Shaanxi Normal University,Xi'an 710062,Shaanxi,China);Qualitative analysis for a general Gause-type predator-prey model[J];Journal of Shaanxi Normal University(Natural Science Edition);2010-03
【Co-citations】
Chinese Journal Full-text Database 1 Hits
1 LI Xiao-yue,LI Yan-ling*(College of Mathematics and Information Science,Shaanxi Normal University,Xi′an 710062,Shaanxi,China);Global bifurcation of a class of synthetical national power model[J];Journal of Shaanxi Normal University(Natural Science Edition);2011-05
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