| 一个微生物生态模型的周期解 |
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| 引用本文： | 李必文,张正球,王志成.一个微生物生态模型的周期解[J].应用数学学报,2004,27(2):210-217. |
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| 作者姓名： | 李必文 张正球 王志成 |
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| 作者单位： | 1. 湖北师范学院数学系,黄石,435002
2. 湖南大学数学院,长沙,410082 |
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| 基金项目： | 国家自然科学基金(19971026号)，湖北省教育厅重大课题基金(20040Z001) |
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| 摘 要： | 研究一类与厌氧消化过程微生物生态模型有关的微分方程组，在非自治双曲情形扰动下，通过利用重合度的延拓定理，获得了该方程组周期解全局存在性的充分条件．
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| 关 键 词： | 微生物 生态模型 周期解 延拓定理 重合度 微分方程组 |
PERIODIC SOLUTIONS OF A ECOLOGICAL MODEL OF MICROBES |
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| LI BIWEN.PERIODIC SOLUTIONS OF A ECOLOGICAL MODEL OF MICROBES[J].Acta Mathematicae Applicatae Sinica,2004,27(2):210-217. |
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| Authors: | LI BIWEN |
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| Institution: | LI BIWEN Department of Mathematics,Hubei Normal University,Huangshi 435002 ZHANG,ZHENGQIU WANG ZHICHENG College of Mathematics,Hunan University,Changsha 410082 |
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| Abstract: | In this paper, a system of differential equations related to an ecological model
of microbes in anaerobic digestion process is studied. In its nonautonomous perturbation,
by using the continuation theorem of coincidence degree theory, some sufficient conditions
for the global existence of periodic solutions of this system are obtained. |
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| Keywords: | Ecological model periodic solution nonlinear perturbation the continuation theorem topological degree theory |
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