DOI QR코드

DOI QR Code

DYNAMICS OF AN IMPROVED SIS EPIDEMIC MODEL

  • 투고 : 2023.02.07
  • 심사 : 2023.04.25
  • 발행 : 2023.05.31

초록

A new modification of the SIS epidemic model incorporating the adaptive host behavior is proposed. Unlike the common situation in most epidemic models, this system has two disease-free equilibrium points, and we were able to prove that as the basic reproduction number approaches the threshold of 1, these two points merge and a Bogdanov-Takens bifurcation of codimension three occurs. The occurrence of this bifurcation is a sign of the complexity of the dynamics of the system near the value 1 of basic reproduction number. Both local and global stability of disease-free and endemic equilibrium point are studied.

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참고문헌

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