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具有HollingⅡ型功能性反应的捕食者食饵种群SIS模型定性分析 被引量:9

Qualitative Analysis of Autonomous SIS Model of Predator—Prey System with the Holling Ⅱ Functional Response
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摘要 研究捕食者、食饵两种群中,某种疾病在种内及种间的传染性,通过引进疾病传染率变量βi 1(x),βi 2(y),建立具有HollingⅡ型功能性反应的捕食者 食饵种群自治型SIS模型,分析模型平衡点的性态,得到奇点全局稳定的条件,揭示了捕食被捕食系统疾病传染的某种规律. The influence of disease in the PredatorPrey system is considered,The autonomous SIS model of Predator-Prey system with the Holling Ⅱ functional response is formulated and analysed by introducing variable of disease infecting rate β_(i 1)(x),β_(i 2)(y).At last,the conditions under which equilibrium points are globally stable in Ω^+ are got.
出处 《厦门大学学报(自然科学版)》 CAS CSCD 北大核心 2005年第1期16-19,共4页 Journal of Xiamen University:Natural Science
基金 国家自然科学基金(10271108)资助
关键词 功能性反应 捕食者 性态 奇点 捕食系统 平衡点 全局稳定 食饵种群 定性分析 Holling Ⅱfunctional respone SIS model globally stable of equilibrium point
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参考文献9

  • 1韩丽涛,原三领,马知恩.两种群相互竞争的自治类型的SIS传染病模型[J].西安交通大学学报,2001,35(8):864-867. 被引量:16
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二级参考文献3

  • 1Hyman J M,Math Biosci,1999年,155卷,2期,77页
  • 2Dushoff J,J Math Biol,1998年,36卷,3期,227页
  • 3马知恩,种群生态学的数学建模与研究,1996年

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引证文献9

二级引证文献32

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