Open AccessAn age-structured vector-borne disease model with horizontal transmission in the host
Author(s) -
Xia Wang,
Yuming Chen
Publication year - 2018
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2018049
Subject(s) - basic reproduction number , host (biology) , reproduction , transmission (telecommunications) , lyapunov function , stability theory , population , mathematics , dynamics (music) , vector (molecular biology) , biology , statistical physics , computer science , control theory (sociology) , ecology , demography , physics , control (management) , telecommunications , artificial intelligence , sociology , nonlinear system , quantum mechanics , biochemistry , gene , recombinant dna , acoustics
We concern with a vector-borne disease model with horizontal transmission and infection age in the host population. With the approach of Lyapunov functionals, we establish a threshold dynamics, which is completely determined by the basic reproduction number. Roughly speaking, if the basic reproduction number is less than one then the infection-free equilibrium is globally asymptotically stable while if the basic reproduction number is larger than one then the infected equilibrium attracts all solutions with initial infection. These theoretical results are illustrated with numerical simulations.