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The probability is introduced to establish the discrete-time SIS epidemic model which considers disease-induced mortality and has constant recruitment. And the threshold determining its dynamical behavior is found. Below the threshold, the model only has the disease-free equilibrium which is globally asymptotically stable. Above the threshold, the model is uniformly persistent and has a unique endemic equilibrium which is supposed to be globally asymptotically stable.
Computer Science and Electronics Engineering (ICCSEE), 2012 International Conference on (Volume:1 )
Date of Conference: 23-25 March 2012