Contents
■xi
5.2.4
Age and acquired immunity
81
5.2.5
Duration of acquired immunity to malaria
84
5.2.6
Malaria parasite variants
86
5.2.7
Acquired variant-specific and variant-transcending immunity
88
5.2.8
Superinfection/ Reinfection and acquired immunity
90
5.2.9
Other factors influencing the acquisition of immunity
91
5.2.9.1
Effect of intervention measures on immunity acquisi-
tion and malaria prevalence
91
5.2.9.2
Climatic driving effect on immunity acquisition
92
5.2.9.3
Effect of population dynamics on immunity acquisition
93
5.2.10
Summary of modelling approaches
94
5.3
DISCUSSION
96
Appendices
99
5.A
METHODS FOR LITERATURE SEARCH
101
5.A.1
Literature search strategy and selection criteria
101
5.A.2
Outcome of literature search
101
5.B
DETAILED MODEL DESCRIPTIONS
103
Section III
Mathematical Epidemiology including Mosquito Dynamics and
Control Theory
Chapter
6 ■Multi-Strain Host-Vector Dengue Modeling: Dynamics
and Control
111
Bob W. Kooi, Peter Rashkov* , and Ezio Venturino
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