Journal of Jilin University Science Edition ›› 2019, Vol. 57 ›› Issue (3): 505-509.

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Periodic Solutions for Seasonally ForcedSIRS Model with Pulse Vaccination

WANG Lin1, PANG Yanni2, LI Wenjin3   

  1. 1. School of Mathematics and Statistics, Changchun University of Technology, Changchun 130012, China;2. College of Mathematics, Jilin University, Changchun 130012, China;3. School of Applied Mathematics, Jilin University of Finance and Economics, Changchun 130117, China
  • Received:2018-07-11 Online:2019-05-26 Published:2019-05-20
  • Contact: LI Wenjin E-mail:liwenjin@jlufe.edu.cn

Abstract: Using the coincidence degree theory of GainesMawhin, we proved the existence of periodic solutions for seasonally forced SIRS models with pulse vaccination. The effects of different loss of immunity rates on the infectious disease models were compared by some numerical simulation.

Key words: SIRS model, pulse vaccination, periodic solution

CLC Number: 

  • O175.1