Periodic Solutions of an SIS Epidemic Model with Vertical Transmission and Birth Pulses
Abstract：This paper investigates a class of SIS epidemic model with vertical transmission and birth pulses.The existence and stability of the infection-free periodic solution and the endemic periodic solution are discussed by using discrete maps.Moreover,numerical results for phase portraits,periodic solutions,and bifurcation diagrams,which are illustrated with an example,are in good agreement with the theoretical analysis.
Keywords：SIS epidemic modelpulse birthperiodic solutionvertical transmission
Publication Date：2012-01-01
Online Publishing Date：2026-08-28(First online date of this platform, not the publication date of the document)
Pages：6( 31-35,84 )