C H A P T E R 6
Multi-Strain Host-Vector
Dengue Modeling: Dynamics
and Control
Bob W. Kooi
Faculty of Science, VU University Amsterdam,
Amsterdam, The Netherlands
Peter Rashkov*
Institute of Mathematics and Informatics, Bulgarian Academy of Sciences,
Sofia, Bulgaria
* corresponding author, e-mail: [email protected]
Ezio Venturino
Dipartimento di Matematica “Giuseppe Peano”, Università di Torino,
Torino, Italy
CONTENTS
6.1
Introduction ...............................................................
112
6.2
Description of the models .................................................
113
6.2.1
Equilibria and basic reproduction number R0 ......................
115
6.2.2
Time scale separation ..............................................
116
6.2.3
Example: SIR-UV model ..........................................
118
6.3
Two-strain dengue models .................................................
119
6.3.1
Host-only models .................................................
119
6.3.2
Host-vector models ................................................
122
6.4
Comparison of host-only and host-vector model ............................
124
6.4.1
Results for autonomous systems ...................................
124
6.4.2
Results for seasonally-forced systems ..............................
125
6.5
Modeling and analysis of control measures for dengue fever ................
126
6.5.1
Description of a model with vaccination ...........................
126
6.5.1.1
Analysis of the SIRvUV model ........................
127
6.5.1.2
Sensitivity analysis of the SIRvUV model .............
130
6.5.2
Model with vector control .........................................
131
6.5.2.1
Analysis of the SIRqVM model .......................
133
6.5.2.2
Sensitivity analysis of the SIRqVM model .............
134
6.5.3
Viability analysis of vector control .................................
135
6.6
Conclusions ...............................................................
136
DOI: 10.1201/9781003035992-6
111