Journal of Jishou University(Natural Sciences Edition) ›› 2022, Vol. 43 ›› Issue (1): 20-25.DOI: 10.13438/j.cnki.jdzk.2022.01.004

• Mathematics • Previous Articles     Next Articles

Dynamic Properties of SIS Epidemic Model with Stage Structure

LIU Hanyan,XIE Jingli,SHU Qing   

  1. (College of Mathematics and Statistics,Jishou University,Jishou 416000,Hunan China)
  • Online:2022-01-25 Published:2022-05-16

Abstract: The dynamic properties of a Beddington-DeAngelis type functional response predator-prey model with stage structure and SIS epidemic are studied.The existence and stability conditions of positive solutions are proved through the method of constant variation.The local stability conditions of each equilibrium point are obtained by using the characteristic equation,and the global stability conditions of each equilibrium point are obtained by using Lyapunov function and LaSalle invariance principle.

Key words: predator-prey model, stage structure, SIS epidemic, Beddington-DeAngelis functional response, global stability

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