TY - JOUR
T1 - Age-dependency in host-vector models
T2 - The global analysis
AU - Vargas-De-León, Cruz
AU - Esteva, Lourdes
AU - Korobeinikov, Andrei
N1 - Funding Information:
A.K. is supported by the Ministry of Science and Innovation of Spain via Ramón y Cajal Fellowship RYC-2011-08061 and Grant MTM2011-29342 . We would like to thank the anonymous referees for their valuable comments and suggestions.
PY - 2014/9/15
Y1 - 2014/9/15
N2 - In this paper, we introduce and analyze two structured models for the transmission of a vector-borne infectious disease. The first of these models assumes that the level of contagiousness and the rate of removal (recovery) of infected hosts depends on the infection age. In the second model the hosts population is structured with respect to the physical age of the hosts, and the susceptibility of the hosts is assumed to be age-dependent. For these models, the threshold parameter for the existence of a positive (endemic) equilibrium state is determined, and the global asymptotic stability of the equilibrium states are established by the Lyapunov's direct method.
AB - In this paper, we introduce and analyze two structured models for the transmission of a vector-borne infectious disease. The first of these models assumes that the level of contagiousness and the rate of removal (recovery) of infected hosts depends on the infection age. In the second model the hosts population is structured with respect to the physical age of the hosts, and the susceptibility of the hosts is assumed to be age-dependent. For these models, the threshold parameter for the existence of a positive (endemic) equilibrium state is determined, and the global asymptotic stability of the equilibrium states are established by the Lyapunov's direct method.
KW - Age-dependent susceptibility
KW - Direct Lyapunov method
KW - Global stability
KW - Host-vector model
KW - Infection-age dependent infectivity
KW - Vector-borne infection
UR - http://www.scopus.com/inward/record.url?scp=84904561660&partnerID=8YFLogxK
U2 - 10.1016/j.amc.2014.06.042
DO - 10.1016/j.amc.2014.06.042
M3 - Artículo
SN - 0096-3003
VL - 243
SP - 969
EP - 981
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
ER -