title: Modeling the spread and control of dengue with limited public health resources.
abstract: A deterministic model for the transmission dynamics of dengue fever is formulated to study, with a nonlinear recovery rate, the impact of available resources of the health system on the spread and control of the disease. Model results indicate the existence of multiple endemic equilibria, as well as coexistence of an endemic equilibrium with a periodic solution. Additionally, our model exhibits the phenomenon of backward bifurcation. The results of this study could be helpful for public health authorities in their planning of a proper resource allocation for the control of dengue transmission.
authors.affiliation: Department of Mathematics and Statistics, Arizona State University, USA.
authors.forename: Ahmed
authors.initials: A
authors.lastname: Abdelrazec
authors.affiliation: Département de mathématiques et de statistique, Université de Montréal, Canada.
authors.forename: Jacques
authors.initials: J
authors.lastname: Bélair
authors.affiliation: Department of Mathematical and Statistical Sciences, University of Alberta, Canada.
authors.forename: Chunhua
authors.initials: C
authors.lastname: Shan
authors.affiliation: LAMPS and Department of Mathematics and Statistics, York University, Canada. Electronic address: huaiping@mathstat.yorku.ca.
authors.forename: Huaiping
authors.initials: H
authors.lastname: Zhu
mesh_terms: D003715:Dengue / Q000517:prevention & control / Q000635:transmission*; D006295:Health Resources; D006801:Humans; D008962:Models, Theoretical; D011634:Public Health
keywords: Backward bifurcation; Dengue fever; Dynamics; Hopf bifurcation; Hospital bed; Nonlinear recovery rate