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一类生物捕食模型解的整体存在性和爆破性 被引量:2

Global Existence and Blow-up for the Solutions of a Biological Predator-Prey Model
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摘要 研究了一类具有捕食速率的生物捕食模型解整体存在性和爆破性,利用反映扩散方程组的比较原理,通过构造自相似形式的上下解,得到了模型的解的整体存在和爆破条件. Global Existence and Blow-up for the solution of a biological Predator-Prey Model with predator-prey rates are studied. By the compare principle for the system of reaction- diffusion equations, we obtain the conditions of global and blow-up solutions through con- struction self-similar form upper solutions and lower solutions.
出处 《数学的实践与认识》 CSCD 北大核心 2013年第12期282-285,共4页 Mathematics in Practice and Theory
基金 国家自然科学基金(11271154) 河南省教育厅自然科学研究计划项目(2011B110010)
关键词 上解 下解 整体存在性 爆破 upper solution lower solution global existence blow-up
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