| 中立型对数种群模型的正周期解存在性 |
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| 引用本文： | 鲁世平,葛渭高. 中立型对数种群模型的正周期解存在性[J]. 系统科学与数学, 2005, 25(4): 490-497 |
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| 作者姓名： | 鲁世平 葛渭高 |
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| 作者单位： | 1. 安徽师范大学数学系,芜湖,241000
2. 北京理工大学数学系,北京,100081 |
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| 基金项目： | 国家自然科学基金(10371006)安徽省自然科学基金(050460103)安徽省教育厅自然科学重点基金(2005kj031ZD) |
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| 摘 要： | 本文利用k-集压缩算子的拓朴度抽象连续定理和某些分析技巧,研究了一类中立型对数种群模型dN/dt=N(t)[r(t)-a(t)lnN(t-σ)-b(t)d/dtlnN(t-r)]的正周期解存在性问题。得到了正周期解存在性的新结果。
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| 关 键 词： | 中立型对数种群模型 K-集压缩算子 正周期解 |
| 修稿时间： | 2002-07-28 |
EXISTENCE OF POSITIVE PERIODIC SOLUTIONS FOR NEUTRAL DELAY LOGARITHMIC POPULATION MODEL |
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| Lu Shiping,Ge Weigao. EXISTENCE OF POSITIVE PERIODIC SOLUTIONS FOR NEUTRAL DELAY LOGARITHMIC POPULATION MODEL[J]. Journal of Systems Science and Mathematical Sciences, 2005, 25(4): 490-497 |
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| Authors: | Lu Shiping Ge Weigao |
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| Affiliation: | (1)Department of Mathematics, Anhui Normal University, Wuhu 241000;(2)Department of Mathematics, Beijing Institute of Technology, Beijing 100081 |
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| Abstract: | In this paper, the authors employ an abstract continuous theorem of k-setcontractive operator and some analysis techniques to study the existence of positive periodicsolutions for a neutral delay logarithmic population model as follows.$$frac{{rm d}N}{{rm d}t}=N(t)Big[r(t)-a(t)ln N(t-sigma)-b(t)frac{rm d}{{rm d}t}ln N(t-tau)Big].$$A new result on the existence of positive periodic solutions is obtained. |
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| Keywords: | Neutral delay logarithmic population model k-set contractive operator positive periodic solution. |
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