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《Journal of Wuhan University(Natural Science Edition)》 2018-05
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Existence and Uniqueness of Positive Solutions for a Food-Chain Model

LI Haixia;WANG Yuping;Institute of Mathematics and Information Sciences,Baoji University of Arts and Sciences;School of Science and Arts,Shaanxi of Science and Technology;  
A food-chain model with Crowley-Martin functional response is discussed.The sufficient conditions for the existence of positive solutions are given by means of the fixed point index.Furthermore,by using the perturbation techniques and bifurcation theory,the uniqueness of positive solutions is investigated.The results show that parameters c and dhave important effect on the uniqueness of positive solutions.
【Fund】: 国家自然科学基金(11501496);; 陕西省自然科学基础研究计划(2015JM1008 2014JQ2-1003);; 陕西省教育厅专项科研计划项目(16JK1046);; 宝鸡文理学院博士科研启动项目(ZK2018069)
【CateGory Index】: O177.91
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