篮球竞彩开奖结果 :CIMSՓĵ

򾺲 www.fasfz.com  

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

ע⣺ՓMathematical Biosciences 209 (2007) 417C450l
ʹՈעՓij̎
Zhipeng Qiu(־i)
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

1g[PDFʽȫҪʹܛAbode Acrobat(ܛ^󲢳Ҋ,վṩd)

2dՓȫՈcI顱ʹÔcmܛd(17483KB)
d朽ӣa.΢ܛM惦d朽 b. Wd朽 c.{ױPMṩd朽


վ䛵ıߵՓģ

1The Asymptotic Behavior of Flow Reactor Models with Two Nutrients

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

gӭӑՓlՓļоIĿ
(Ոڰlԕrژ}ʹcuՓĵ}Ŀо@ӷҞg[)

| CIMSՓ | й | ̓M | | Փ | Ŀ_l | WgYԴ | վȫ | MՓľWվȫ |

line.gif (4535 ֹ)

˸õĞҷgӭӱվͶƱ{

򾺲 Ոc

վ򾺲 gӭL

ע⣺վδSDd

All rights reserved, all contents copyright 2000-2019
վ20003¿WL