Analysis and optimization of cross-immunity epidemic model on complex networks

Chao Chen (), Hao Zhang, Yin-Hua Wu, Wei-Qiang Feng and Jian Zhang
Additional contact information
Chao Chen: Science and Technology on Information Systems Engineering Laboratory, National University of Defense Technology, Changsha 410073, P. R. China
Hao Zhang: Naval War Gaming Center, Naval Command College, Nanjing 210016, P. R. China
Yin-Hua Wu: Naval War Gaming Center, Naval Command College, Nanjing 210016, P. R. China
Wei-Qiang Feng: Naval War Gaming Center, Naval Command College, Nanjing 210016, P. R. China
Jian Zhang: Naval War Gaming Center, Naval Command College, Nanjing 210016, P. R. China

International Journal of Modern Physics C (IJMPC), 2015, vol. 26, issue 04, 1-10

Abstract: There are various infectious diseases in real world, and these diseases often spread on a network of population and compete for the limited hosts. Cross-immunity is an important disease competing pattern, which has attracted the attention of many researchers. In this paper, we discovered an important conclusion for two cross-immunity epidemics on a network. When the infectious ability of the second epidemic takes a fixed value, the infectious ability of the first epidemic has an optimal value which minimizes the sum of the infection sizes of the two epidemics. We also proposed a simple mathematical analysis method for the infection size of the second epidemic using the cavity method. The proposed method and conclusion are verified by simulation results. Minor inaccuracies of the existing mathematical methods for the infection size of the second epidemic are also found and discussed in experiments, which have not been noticed in existing research.

Keywords: Complex networks; cross-immunity; infection size; SIR model; 89.75.Hc; 87.23.Ge; 64.60.aq (search for similar items in EconPapers)
Date: 2015
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0129183115500394
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:26:y:2015:i:04:n:s0129183115500394

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0129183115500394

Access Statistics for this article

International Journal of Modern Physics C (IJMPC) is currently edited by H. J. Herrmann

More articles in International Journal of Modern Physics C (IJMPC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().