| 具有时滞和基于比率的两种群捕食者-食饵扩散系统的周期解 |
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| 引用本文： | 董士杰,葛渭高. 具有时滞和基于比率的两种群捕食者-食饵扩散系统的周期解[J]. 应用数学学报, 2004, 27(1): 132-141 |
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| 作者姓名： | 董士杰 葛渭高 |
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| 作者单位： | 1. 北京理工大学应用数学系,北京,100081;军械工程学院基础部,石家庄,050003
2. 北京理工大学应用数学系,北京,100081 |
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| 基金项目： | 国家自然科学基金(19871005号)资助项目. |
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| 摘 要： | 本文研究了一类具有时滞和基于比率的两种群捕食者—食饵扩散系统，利用重合度理论建立了这类系统正周期解的存在性判据。
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| 关 键 词： | 捕食者-食饵扩散系统 周期解 存在性 重合度理论 数学生态学 |
PERIODIC SOLUTION OF PREDATOR-PREY DIFFUSIVE SYSTEM OF TWO SPECIES WITH TIME DELAY AND RATIO-DEPENDENCE |
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| DONG SHIJIE. PERIODIC SOLUTION OF PREDATOR-PREY DIFFUSIVE SYSTEM OF TWO SPECIES WITH TIME DELAY AND RATIO-DEPENDENCE[J]. Acta Mathematicae Applicatae Sinica, 2004, 27(1): 132-141 |
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| Authors: | DONG SHIJIE |
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| Abstract: | In this paper, a class of predator-prey diffusive system of two species with time delay and ratio-dependence is studied.By using the coincidence degree thoery, we establish the existence result of positive periodic solution for the system. |
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| Keywords: | Predator-prey diffusive system positive periodic solution coincidence degree theory |
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