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一类无搅拌Chemostat模型平衡态正解存在性与数值模拟 被引量：2

Existences and Numerical Simulation of Positive Solution for a Class of Unstirred Chemostat Model
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摘要 讨论一类含有Beddington-DeAngelis反应功能函数的Chemostat非单链生态模型平衡态正解的存在性,利用特征值比较原理得到正解存在的必要条件。利用度理论、锥映射不动点指数、微分算子的谱半径理论得到正解存在的充分条件。应用MATLAB软件进行数值模拟,验证了正解的存在性。 The coexistence of the steady-state solutions of an unstirred multiple food chain Chemostat model with Beddington-DeAngelis functional response is discussed.The necessary condition is given by comparison theorem of eigenvalue.By using degree theory,index of fixed point of map in cone,and spectral radius of differentiation operator theory,a sufficient condition is obtained for the existence of steady state positive solution.The coexistence is verified by numerical simulation with MATLAB software.
作者 姜洪领 王利娟
机构地区 陕西师范大学数学与信息科学学院 宝鸡文理学院数学系
出处 《中山大学学报（自然科学版）》 CAS CSCD 北大核心 2011年第3期11-16,共6页 Acta Scientiarum Naturalium Universitatis Sunyatseni
基金 国家自然科学基金资助项目(10971124) 宝鸡文理学院重点资助项目(Zk10116 Zk0691)
关键词 CHEMOSTAT 特征值比较原理 不动点指数 数值模拟 Chemostat comparison theorem of eigenvalue index of fixed point numerical simulation
分类号 O175.26 [理学—基础数学]
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参考文献11

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共引文献1

同被引文献17

  • 1NTONIFOR N N, PQRR M C, EWU KEM J A Ewunkem. Seasonal abundance and distribution of the huntsman spider, Heteropoda venatoria ( Sparassidae : Araneae) in banana ago-ecosystems in Cameroon [ J]. Journal of Entomology, 2012, 9 : 79 - 88.
  • 2VENKATESHALU, HANUMANTHRAYA L, MARADDI G. Impact of different rice agro-eeosystem on spider popu- lation dynamics [ J ]. Environment and Ecology, 2009, 27(3A) : 1231 - 1236.
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  • 5SEN M, BANERJEE M, VENTURINO E. A model for biological control in agriculture [ J ]. Mathematics and Computers in Simulation, 2013, 87( 1 ) : 30 -44.
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  • 10WANG L J, JIANG H L, LI Y. Positive steady state so- lutions of a plant-pollinator model with diffusion [ J ]. Discrete and Continuous Dynamical Systems-Series B, 2015, 20 : 1805 - 1819.

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中山大学学报（自然科学版）
2011年 第3期

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