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一类Holling Ⅲ型强耦合捕食模型的共存解(英文)

Coexistence of a Strongly Coupled Prey-predator Model for Holling’s Type Ⅲ

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【Author】 HUANG You-liang1,ZHANG Lai2,FANG Shao-mei3(1.Department of Mathematics,Shaoguan University,Shaoguan 512005,China;2.College of Mathe-matics Science,Yangzhou University,Yangzhou 225009,China;3.Department of Applied Mathematics,South China Agricultural University,Guangzhou 510642,China)

【机构】 Department of Mathematics,Shaoguan University； College of Mathe-matics Science,Yangzhou University； Department of Applied Mathematics,South China Agricultural University；

【摘要】 In this paper,the two-species prey-predator Lotka-Volterra model with the Holling’s type Ⅲ is discussed.By the method of coupled upper and lower solutions and its associated monotone iterations,the existence of solutions for a strongly coupled elliptic system with homogeneous of Dirchlet boundary conditions is derived.These results show that this model admits at least one coexistence state if across-diffusions are weak.更多还原

【Abstract】 In this paper,the two-species prey-predator Lotka-Volterra model with the Holling’s type Ⅲ is discussed.By the method of coupled upper and lower solutions and its associated monotone iterations,the existence of solutions for a strongly coupled elliptic system with homogeneous of Dirchlet boundary conditions is derived.These results show that this model admits at least one coexistence state if across-diffusions are weak.更多还原

【关键词】 reaction diffusion system； strongly coupled； coexistence；
【Key words】 reaction diffusion system； strongly coupled； coexistence；

【基金】 Supported by the National Natural Science Foundation of China(10576013;10871075)

【文献出处】数学季刊 ,Chinese Quarterly Journal of Mathematics , 编辑部邮箱 ,2009年03期

【分类号】O175.26
【被引频次】2
【下载频次】40

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