TY - JOUR
T1 - Dynamics of a dengue disease transmission model with two-stage structure in the human population
AU - Li-Martín, Alian
AU - Reyes-Carreto, Ramón
AU - Vargas-De-León, Cruz
N1 - Publisher Copyright:
© 2023 the author(s)
PY - 2023
Y1 - 2023
N2 - Age as a risk factor is common in vector-borne infectious diseases. This is partly because children depend on adults to take preventative measures, and adults are less susceptible to mosquito bites because they generally spend less time outdoors than children. We propose a dengue disease model that considers the human population as divided into two subpopulations: children and adults. This is in order to take into consideration that children are more likely than adults to be bitten by mosquitoes. We calculated the basic reproductive number of dengue, using the next-generation operator method. We determined the local and global stability of the disease-free equilibrium. We obtained sufficient conditions for the global asymptotic stability of the endemic equilibrium using the Lyapunov functional method. When the infected periods in children and adults are the same, we that the endemic equilibrium is globally asymptotically stable in the interior of the feasible region when the threshold quantity R0 > 1. Additionally, we performed a numerical simulation using parameter values obtained from the literature. Finally, a local sensitivity analysis was performed to identify the parameters that have the greatest influence on changes in (R0), and thereby obtain a better biological interpretation of the results.
AB - Age as a risk factor is common in vector-borne infectious diseases. This is partly because children depend on adults to take preventative measures, and adults are less susceptible to mosquito bites because they generally spend less time outdoors than children. We propose a dengue disease model that considers the human population as divided into two subpopulations: children and adults. This is in order to take into consideration that children are more likely than adults to be bitten by mosquitoes. We calculated the basic reproductive number of dengue, using the next-generation operator method. We determined the local and global stability of the disease-free equilibrium. We obtained sufficient conditions for the global asymptotic stability of the endemic equilibrium using the Lyapunov functional method. When the infected periods in children and adults are the same, we that the endemic equilibrium is globally asymptotically stable in the interior of the feasible region when the threshold quantity R0 > 1. Additionally, we performed a numerical simulation using parameter values obtained from the literature. Finally, a local sensitivity analysis was performed to identify the parameters that have the greatest influence on changes in (R0), and thereby obtain a better biological interpretation of the results.
KW - children and adults
KW - dengue
KW - direct Lyapunov method
KW - host–vector model
KW - local sensitivity analysis
UR - http://www.scopus.com/inward/record.url?scp=85140886606&partnerID=8YFLogxK
U2 - 10.3934/mbe.2023044
DO - 10.3934/mbe.2023044
M3 - Artículo
C2 - 36650797
AN - SCOPUS:85140886606
SN - 1547-1063
VL - 20
SP - 955
EP - 974
JO - Mathematical Biosciences and Engineering
JF - Mathematical Biosciences and Engineering
IS - 1
ER -