TY - JOUR
T1 - On the global stability of SIS, SIR and SIRS epidemic models with standard incidence
AU - Vargas-De-León, Cruz
PY - 2011/12
Y1 - 2011/12
N2 - In this paper, we establish the global stability conditions of classic SIS, SIR and SIRS epidemic models with constant recruitment, disease-induced death and standard incidence rate. We will make ingenious linear combination of known functions, common quadratic and Volterra-type, and of a new class of functions, we call composite-Volterra function, for obtain a suitable Lyapunov functions. In particular, for SIRS model we prove the global stability of the endemic equilibrium under a condition of parameters.
AB - In this paper, we establish the global stability conditions of classic SIS, SIR and SIRS epidemic models with constant recruitment, disease-induced death and standard incidence rate. We will make ingenious linear combination of known functions, common quadratic and Volterra-type, and of a new class of functions, we call composite-Volterra function, for obtain a suitable Lyapunov functions. In particular, for SIRS model we prove the global stability of the endemic equilibrium under a condition of parameters.
UR - http://www.scopus.com/inward/record.url?scp=80955141925&partnerID=8YFLogxK
U2 - 10.1016/j.chaos.2011.09.002
DO - 10.1016/j.chaos.2011.09.002
M3 - Artículo
SN - 0960-0779
VL - 44
SP - 1106
EP - 1110
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
IS - 12
ER -