Foreword
- Contributors
I Background
1 The Study of Malaria Control
2 Basic Malaria Models
3 The Ross-Macdonald Model
4 Malaria Metrics
5 Models and Data
6 Research and Policy
II The Toolbox
7 Malaria Models for Policy
8 Heterogeneous Transmission
9 Human Aging & Demography
- 9.1 Cohort Dynamics
- 9.2 Gallerkin
10 Adult Mosquito Dynamics
11 Mosquito Ecology
- 11.1 Egg Laying
III Malaria Modeling
12 Model Building
13 Uncertainty
- 13.1 What we Don’t Know about Malaria
- 13.2 What we Don’t Know about Malaria
14 Realism
15 Modularity and Software
IV Malaria Epidemiology
16 Malaria Epidemiology
17 Stage-Structured Infection
18 Superinfection
- 18.1 Queuing Models
- 18.2 Macdonald’s Superinfection Model
19 Stage-Structured Malaria Infections
20 Stage-Structured Immunity
21 Age-Structured Infection Models
22 Treatment and Chemoprotection
23 Queuing Models
24 Hybrid Models
25 Fever and Severe Disease
26 Gametocytes and Infectiousness
- 26.1 Gametocytemia
- 26.2 Anti-Gametocyte Immunity
27 Within Host
28 Models and Malaria Epidemiology
- 28.1
V Mosquito Ecology
29 Mosquitoes
- 29.1 Aquatic Dynamics
- 29.2 Understanding Mosquito Dynamics
30 Behavioral State Models
31 Regulation of Mosquito Populations
32 Mosquito Dispersal
33 Mosquito Age
34 Multi-Species Models
- 34.1 Vector Competence
35 Aquatic Ecology
36 Mosquito Larval Stages
37 Resource-Based Competition
38 Habitat Dynamics
39 Temporal Dynamics
- 39.1 Exogenous Forcing
- 39.2 Mosquito Survival through the EIP
40 Measuring Mosquitoes
VI Transmission
41 Blood Feeding and Transmission
42 Human Mobility
43 Spatial Dynamics
44 Spatial Heterogeneity
45 Stratification
- 45.1 Stratifying Human Populations
- 45.2 Spatial Units
VII Malaria Control
46 Malaria Control
- 46.1 Health Systems
- 46.2 Vector Control
47 Insecticide-Treated Bednets
48 Indoor Residual Spraying
49 Larval Source Management
50 Attractive Toxic Sugar Baits
51 Integrated Vector Control
VIII Health Systems
52 Cohort Dynamics
- 52.1 Boxcar Models
- 52.2 Delay
53 Human Demography
- 53.1 Migration
54 Human Travel and Malaria Importation
55 Stratification
56 Pharmaceutical Interventions
IX Analytics
57 Malaria Analytics
58 Measuring Malaria for Control
59 Discrete Time
60 Spatial Concepts and Connectivity
61 Mosquito Microecology
62 Microsimulation
63 Spatial Control
64 Model Libraries
65 Base Models
66 Built-in Analytics
67 Stochasticity
68 A Glossary
X Supplements
69 References

Applied Malaria Dynamics

8.1 Heterogeneous Biting

\[ \frac{dX_\omega}{dt} = h \omega (H_\omega-X_\omega) - r X_\omega \] Threshold condition: