xii

■Contents

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

Appendices

139

6.A

TIME SCALE SEPARATION, EXAMPLE: SIR-UV MODEL

141

6.B

PARAMETER VALUES

142

Chapter

7 ^■Mathematical Models and Optimal Control in Mosquito

Transmitted Diseases

143

Peyman Ghaffari, Cristiana J. Silva , and Delfim F. M. Torres

7.1

INTRODUCTION

143

7.2

CONTROLLED MODEL

145

7.3

OPTIMAL CONTROL PROBLEM

147

7.4

NUMERICAL RESULTS AND DISCUSSION

148

Appendices

153

7.A

UNIQUE OPTIMAL SOLUTION

155

Section IV Topological Studies: Topology Meets Mosquito Control

Chapter

8 ^■On the Shape and Design of Mosquito Abatement Districts

159

James R. Bozeman*

8.1

INTRODUCTION

159

8.2

DESIGNS OF CURRENT MOSQUITO ABATEMENT REGIONS

160

8.2.1

Rhode Island, USA [3]

160

8.2.1.1

Mosquito Control Measures: 2019 Pesticide

Applications

160

8.2.1.2

Mosquito Control Measures: 2019 Pesticide

Applications

161