Game Theory for Networks. 7th International EAI Conference, GameNets 2017 Knoxville, TN, USA, May 9, 2017, Proceedings

Research Article

Optimal Control of Multi-strain Epidemic Processes in Complex Networks

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  • @INPROCEEDINGS{10.1007/978-3-319-67540-4_10,
        author={Elena Gubar and Quanyan Zhu and Vladislav Taynitskiy},
        title={Optimal Control of Multi-strain Epidemic Processes in Complex Networks},
        proceedings={Game Theory for Networks. 7th International EAI Conference, GameNets 2017 Knoxville, TN, USA, May 9, 2017, Proceedings},
        proceedings_a={GAMENETS},
        year={2017},
        month={9},
        keywords={Bi-virus models Epidemic process Optimal control Structured population},
        doi={10.1007/978-3-319-67540-4_10}
    }
    
  • Elena Gubar
    Quanyan Zhu
    Vladislav Taynitskiy
    Year: 2017
    Optimal Control of Multi-strain Epidemic Processes in Complex Networks
    GAMENETS
    Springer
    DOI: 10.1007/978-3-319-67540-4_10
Elena Gubar1,*, Quanyan Zhu2,*, Vladislav Taynitskiy1,*
  • 1: Saint Petersburg State University
  • 2: New York University
*Contact email: e.gubar@spbu.ru, quanyan.zhu@nyu.edu, tainitsky@gmail.com

Abstract

The emergence of new diseases, such as HIV/AIDS, SARS, and Ebola, represent serious problems for the public health and medical science research to address. Despite the rapid development of vaccines and drugs, one challenge in disease control is the fact that one pathogen sometimes generates many strains with different spreading features. Hence it is of critical importance to investigate multi-strain epidemic dynamics and its associated epidemic control strategies. In this paper, we investigate two controlled multi-strain epidemic models for heterogeneous populations over a large complex network and obtain the structure of optimal control policies for both models. Numerical examples are used to corroborate the analytical results.