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State feedback impulsive therapy to SIS model of animal infectious diseases

Author

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  • Liu, Qiong
  • Zhang, Meng
  • Chen, Lansun

Abstract

Controlling animal infectious diseases and its related infra microbes is of great significance to public health, since a lot of infectious diseases originate from animal epidemics and they often threaten human health. A state feedback impulsive model is constructed to depict the transmission and treatment of animal epidemics. Basing on the impulsive model, the existence of order-1 periodic solution and its stability are proved with a novel method. The theoretical results indicate that the impulsive treatment triggered by the number of infectious is an efficient approach to control animal infectious disease from breakout. Numerical simulation is presented to support the theoretical conclusion in the end.

Suggested Citation

  • Liu, Qiong & Zhang, Meng & Chen, Lansun, 2019. "State feedback impulsive therapy to SIS model of animal infectious diseases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 516(C), pages 222-232.
    • Handle: RePEc:eee:phsmap:v:516:y:2019:i:c:p:222-232
    DOI: 10.1016/j.physa.2018.09.161
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    References listed on IDEAS

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    1. Guo, Hongjian & Chen, Lansun & Song, Xinyu, 2015. "Qualitative analysis of impulsive state feedback control to an algae-fish system with bistable property," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 905-922.
    2. Nie, Lin-Fei & Teng, Zhi-Dong & Nieto, Juan J. & Jung, Il Hyo, 2015. "State impulsive control strategies for a two-languages competitive model with bilingualism and interlinguistic similarity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 430(C), pages 136-147.
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    6. Jiao, Jianjun & Cai, Shaohong & Li, Limei, 2016. "Impulsive vaccination and dispersal on dynamics of an SIR epidemic model with restricting infected individuals boarding transports," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 449(C), pages 145-159.
    7. Liu, Lidan & Meng, Xinzhu & Zhang, Tonghua, 2017. "Optimal control strategy for an impulsive stochastic competition system with time delays and jumps," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 477(C), pages 99-113.
    8. Chunjin Wei & Lansun Chen, 2012. "Periodic Solution of Prey-Predator Model with Beddington-DeAngelis Functional Response and Impulsive State Feedback Control," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-17, November.
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