| 一类感染疾病的捕食-被捕食模型的研究 |
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| 引用本文： | 陈珍珍,赵建东. 一类感染疾病的捕食-被捕食模型的研究[J]. 鲁东大学学报, 2012, 0(2): 111-115 |
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| 作者姓名： | 陈珍珍 赵建东 |
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| 作者单位： | 鲁东大学数学与信息学院 |
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| 基金项目： | 山东省自然科学基金(ZR2009AL010);山东省高等学校科技计划项目(J09LA51) |
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| 摘 要： | 研究了疾病影响下的捕食-被捕食模型.当被捕食者感染疾病时,建立了一类感染疾病的捕食-被捕食模型,分析了该模型的长期动力学行为,得到了易感者存活或易感者与感染者共存、易感者与捕食者共存或三者共存的充分条件,并给出了对应的数值模拟图.
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| 关 键 词： | 捕食-被捕食模型 传染病模型 Lotka-Volterra模型 平衡点 基本再生数 |
Studies on a Class of Predator-Prey Model with Disease |
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| CHEN Zhen-zhen,ZHAO Jian-dong. Studies on a Class of Predator-Prey Model with Disease[J]. Ludong University Journal (Natural Science Edition), 2012, 0(2): 111-115 |
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| Authors: | CHEN Zhen-zhen ZHAO Jian-dong |
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| Affiliation: | (School of Mathematics and Information,Ludong University,Yantai 264039,China) |
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| Abstract: | A predator-prey model with disease is established.When the prey species is susceptible to disease,the long-term dynamics of the model is studied too.Sufficient conditions are obtained for surviving of the susceptibles or coexistence of the susceptibles and infectives,coexistence of the susceptibles and the predator or coexistence of the three parts,and its numerical simulations graphs are given. |
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| Keywords: | predator-prey model susceptible-infective model Lotka-Volterra model equilibrium basic reproduction number |
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