Models of Disease Vector Control: When Can Aggressive Initial Intervention Lower Long-Term Cost?
| Autor: | Winfried Just, Mario J. Grijalva, Bismark Oduro |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
0301 basic medicine
Insecticides General Mathematics 030231 tropical medicine Immunology Biology medicine.disease_cause Insect Control Models Biological General Biochemistry Genetics and Molecular Biology Toxicology 03 medical and health sciences 0302 clinical medicine Control measure Intervention (counseling) parasitic diseases Infestation medicine Animals Humans Chagas Disease Average cost General Environmental Science Pharmacology General Neuroscience Mathematical Concepts Term (time) Insect Vectors 030104 developmental biology Models Economic Computational Theory and Mathematics Costs and Cost Analysis Housing General Agricultural and Biological Sciences |
| Zdroj: | Bulletin of mathematical biology. 80(4) |
| ISSN: | 1522-9602 |
| Popis: | Insecticide spraying of housing units is an important control measure for vector-borne infections such as Chagas disease. As vectors may invade both from other infested houses and sylvatic areas and as the effectiveness of insecticide wears off over time, the dynamics of (re)infestations can be approximated by [Formula: see text]-type models with a reservoir, where housing units are treated as hosts, and insecticide spraying corresponds to removal of hosts. Here, we investigate three ODE-based models of this type. We describe a dual-rate effect where an initially very high spraying rate can push the system into a region of the state space with low endemic levels of infestation that can be maintained in the long run at relatively moderate cost, while in the absence of an aggressive initial intervention the same average cost would only allow a much less significant reduction in long-term infestation levels. We determine some sufficient and some necessary conditions under which this effect occurs and show that it is robust in models that incorporate some heterogeneity in the relevant properties of housing units. |
| Databáze: | OpenAIRE |
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