The analysis and regulation for the dynamics of a temperate bacteriophage model

注意:本論文已在Mathematical Biosciences 209 (2007) 417–450發表
Zhipeng Qiu(邱志鵬)
Department of Applied Mathematics, Nanjing University of Science and Technology, Nanjing 210094, PR China

Abstract: The purpose of this paper is to study the asymptotical behavior of a temperate bacteriophage model in chemostat, which was first proposed by Levin et al. [B.R. Levin, F.M. Stewart, L. Chao, Resource-limited growth, competition and predation: A model and experiment studies with bacteria and bacteriophage, Am. Nat. 125 (1977) 3]. Firstly, a classification for the equilibria of the model and their stability are obtained; secondly, sufficient conditions for uniform persistence are obtained; thirdly, sufficient conditions for the global asymptotic behavior are given, and simulations for the model are presented. The theoretical results show that there are more than eight cases for the classification of the model, and that the decrease (increase) of the nutrient concentration or average lytic time (flow rate) is beneficial to the survival of the sensitive cells. Both the simulated and theoretical results show that there is a possibility of switch phenomena or a periodical outburst of the phages and the lysogens, which is caused by the internal factors rather than by some external environment. Finally, the simulation and regulation of the dynamics of the model with experimental data are presented.

Keywords--Chemostat; Temperate bacteriophage; Regulation; Coexistence; Competition

1瀏覽PDF格式全文需要使用軟件--Abode Acrobat(由于軟件較大并常見,我站不提供下載)

下載鏈接:a.微軟免費存儲下載鏈接頁面 b. 教育網下載鏈接 c.納米盤免費提供的下載鏈接頁面


1、The Asymptotic Behavior of Flow Reactor Models with Two Nutrients

2、The asymptotic behavior of a single population model with space-limited and stage-structure



返回首頁 | CIMS論文 | 并行工程 | 虛擬制造 | 敏捷制造 | 其他論文 | 項目開發 | 學術資源 | 站內全文搜索 | 免費論文網站大全 |

line.gif (4535 字節)





All rights reserved, all contents copyright 2000-2019