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带有Beddington-DeAngelis类型功能反应函数的种群模型分析

Analysis of a Population Model with Beddington-De Angelis Type Functional Response Function
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摘要 研究了一类疾病在捕食者种群中传播的带有Beddington-DeAngelis类型功能反应函数的捕食-被捕食模型,并得到了模型存在无病平衡点和正平衡点的条件。 A predator-prey model which took into account the spread of disease in the predator population with Beddington-De Angelis type functional response function was discussed. The conditions of existence of the disease-free equilibrium and the positive equilibrium for the model were derived.
作者 李爽 王小攀
机构地区 河南师范大学数学与信息科学学院 河南师范大学新联学院
出处 《新乡学院学报》 2016年第6期1-3,共3页 Journal of Xinxiang University
基金 河南省教育厅科学技术研究重点项目(14A110019) 河南师范大学博士科研启动基金项目(qd13043)
关键词 捕食-被捕食系统 Beddington-DeAngelis类型功能反应函数 平衡点 the predator-prey system Beddington-De Angelis type functional response function equilibrium
分类号 O175.1 [理学—基础数学]
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参考文献8

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  • 5臧彦超,李俊平.带Beddington-DeAngelis功能反应和Levy噪声的随机捕食-被捕食系统的渐近性质[J].应用数学学报,2015,38(2):340-349. 被引量：5
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二级参考文献13

  • 1Yagi A, Ton T V. Dynamic of a stochastic predator-prey population. Applied Mathematics and Computation, 2011, 218(7): 3100-3109.
  • 2Cantrell R S, Cosner C. On the dynamics of predator-prey models with the Beddington-DeAngelis functional response. Journal of Mathematical Analysis and Applications, 2001, 257(1): 206-222.
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新乡学院学报
2016年 第6期

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