Modeling the spread and control of dengue with limited public health resources

Ahmed Abdelrazec; Jacques Bélair; Chunhua Shan; Huaiping Zhu

doi:10.1016/j.mbs.2015.11.004

Modeling the spread and control of dengue with limited public health resources

Ahmed Abdelrazec, Jacques Bélair, Chunhua Shan, Huaiping Zhu^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

112 Scopus citations

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.

Original language	English
Pages (from-to)	136-145
Number of pages	10
Journal	Mathematical Biosciences
Volume	271
DOIs	https://doi.org/10.1016/j.mbs.2015.11.004
State	Published - 2016
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2015 Elsevier Inc.

Keywords

Backward bifurcation
Dengue fever
Dynamics
Hopf bifurcation
Hospital bed
Nonlinear recovery rate

ASJC Scopus subject areas

Statistics and Probability
Modeling and Simulation
General Biochemistry, Genetics and Molecular Biology
General Immunology and Microbiology
General Agricultural and Biological Sciences
Applied Mathematics

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

Access to Document

10.1016/j.mbs.2015.11.004

Cite this

@article{146ae72a79dc40f28332f11414dbbe4b,

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.",

keywords = "Backward bifurcation, Dengue fever, Dynamics, Hopf bifurcation, Hospital bed, Nonlinear recovery rate",

author = "Ahmed Abdelrazec and Jacques B{\'e}lair and Chunhua Shan and Huaiping Zhu",

note = "Publisher Copyright: {\textcopyright} 2015 Elsevier Inc.",

year = "2016",

doi = "10.1016/j.mbs.2015.11.004",

language = "English",

volume = "271",

pages = "136--145",

journal = "Mathematical Biosciences",

issn = "0025-5564",

publisher = "Elsevier Inc.",

}

TY - JOUR

T1 - Modeling the spread and control of dengue with limited public health resources

AU - Abdelrazec, Ahmed

AU - Bélair, Jacques

AU - Shan, Chunhua

AU - Zhu, Huaiping

PY - 2016

Y1 - 2016

N2 - 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.

AB - 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.

KW - Backward bifurcation

KW - Dengue fever

KW - Dynamics

KW - Hopf bifurcation

KW - Hospital bed

KW - Nonlinear recovery rate

UR - https://www.scopus.com/pages/publications/84962308910

U2 - 10.1016/j.mbs.2015.11.004

DO - 10.1016/j.mbs.2015.11.004

M3 - Article

C2 - 26593704

AN - SCOPUS:84962308910

SN - 0025-5564

VL - 271

SP - 136

EP - 145

JO - Mathematical Biosciences

JF - Mathematical Biosciences

ER -

Modeling the spread and control of dengue with limited public health resources

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

UN SDGs

Access to Document

Fingerprint

Cite this