| 具有非线性密度制约的捕食者染病的生态-流行病模型分析 |
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| 引用本文： | 叶星旸,李学鹏.具有非线性密度制约的捕食者染病的生态-流行病模型分析[J].福建师范大学学报(自然科学版),2011,27(5):10-16. |
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| 作者姓名： | 叶星旸 李学鹏 |
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| 作者单位： | 1. 厦门大学数学科学学院,福建厦门 361005;集美大学理学院,福建厦门 361021
2. 福建师范大学数学与计算机科学学院,福建福州,350108 |
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| 基金项目： | 福建省自然科学基金资助项目(2008J0199) |
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| 摘 要： | 建立并分析了食饵捕食者均具有一般性密度制约且捕食者染病的生态-流行病模型.讨论了系统解的有界性和各平衡点的存在性,应用Routh-Hurwitz准则得到平衡点局部渐近稳定的充分条件,并进一步研究了边界平衡点的全局稳定性以及系统的持久性.
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| 关 键 词： | 生态-流行病模型 全局稳定性 永久持续生存 |
Analysis of Eco-epidemiological Modes with GeneralDensity-dependence and Diseased Predators |
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| YE Xing-yang,LI Xue-peng.Analysis of Eco-epidemiological Modes with GeneralDensity-dependence and Diseased Predators[J].Journal of Fujian Teachers University(Natural Science),2011,27(5):10-16. |
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| Authors: | YE Xing-yang LI Xue-peng |
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| Institution: | YE Xing-yang1,2,LI Xue-peng3(1.School of Mathematical Sciences,Xiamen University,Xiamen 361005,China,2.College of Science,Jimei University,Xiamen 361021,3.School of Mathematics and Computer Science,Fujian Normal University,Fuzhou 350108,China) |
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| Abstract: | A predator-prey model with general density-dependence in the prey and predator was established and diseased predators was analyzed.The boundness of solutions to the proposed system and the existence of equilibria were studies,and the sufficient condition of locally asymptotically stable of the equilibria were obtained by Routh-Hurwitz criterion.Furthermore,the conditions of the global stability of the boundary equilibrium and permanence of the system were obtained. |
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| Keywords: | eco-epidemiological model asymptotical stability permanence |
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