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| 小型害鼠与寄生蚤类共存的生物数学模型及其定性分析 | |
| 引用本文： | 李继彬 刘天一. 小型害鼠与寄生蚤类共存的生物数学模型及其定性分析[J]. 生物数学学报, 1993, 8(2): 33-41 |
| 作者姓名： | 李继彬 刘天一 |
| 作者单位： | 昆明工学院，昆明师专数学系，云南省应用数学研究所，云南省流行病防治研究所 非线性科学研究中心 650093，650031 |
| 基金项目： | 云南省科委应用基础研究基金 |
| 摘 要： | 本文在大量调查研究资料的基础上,用动力学方法建立了一个小型害鼠与寄生蚤类共存的生物数学模型,并对模型作了某些简化。初步研究了简化模型的若干性质,以提供灭鼠和流行病防治工作参考。 |
| 关 键 词： | 微分方程模型 害鼠 寄生蚤 |
BIOMATHEMATICAL MODEL AND QUALITATIVE ANALYSIS OF THE COEXISTENCE OF SMALL HARMFUL RATS AND THEIR PARASITIC FLEAS |
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| Li Jibin. BIOMATHEMATICAL MODEL AND QUALITATIVE ANALYSIS OF THE COEXISTENCE OF SMALL HARMFUL RATS AND THEIR PARASITIC FLEAS[J]. Journal of Biomathematics, 1993, 8(2): 33-41 | |
| Authors: | Li Jibin |
| Abstract: | Basing on his own position of the sufficient data of study and investigation and by a dynamic way, the author of this paper provides a biomathematical model of the coexistence of small harmful rats and their parasitic fleas. Furthermore, the author simplifies this model and makes a preliminary study on the characters of the simplified model, which provides reference to the prevention and cure of epidemic diseases. |
| Keywords: | Biomathematical model Periodic solution Bifurcation Parasite Host. |
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