## Abstract and Applied Analysis

### Quasisynchronization in Quorum Sensing Systems with Parameter Mismatches

#### Abstract

The paper investigates quasisynchronization in a communication system, which consists of cells communicating through quorum sensing. With the help of Lyapunov function method and Lur’e system approach, some sufficient conditions for quasisynchronization are presented, and a bound on the synchronization errors is derived. The obtained theoretical results show that the synchronization quality is influenced by two parameters detrimentally: the error bound depends almost linearly on the mismatches between cells and depends sensitively on the diffusion rates of the signals inward the cell membrane. Numerical experiments are carried out to verify the theoretical results.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 587019, 7 pages.

Dates
First available in Project Euclid: 3 October 2014

https://projecteuclid.org/euclid.aaa/1412360627

Digital Object Identifier
doi:10.1155/2014/587019

Mathematical Reviews number (MathSciNet)
MR3240551

Zentralblatt MATH identifier
1301.05081

#### Citation

Zhang, Jianbao; Zhang, Wenyin; Ma, Zhongjun; Yu, Jing. Quasisynchronization in Quorum Sensing Systems with Parameter Mismatches. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 587019, 7 pages. doi:10.1155/2014/587019. https://projecteuclid.org/euclid.aaa/1412360627

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