Mathematical model to assess the control of Aedes aegypti mosquitoes by the sterile insect technique

Departamento de Matemáticas, Facultad de Ciencias, UNAM 04510 México, D.F., Mexico.
Mathematical Biosciences (Impact Factor: 1.3). 01/2006; 198(2):132-47. DOI: 10.1016/j.mbs.2005.06.004
Source: PubMed


We propose a mathematical model to assess the effects of irradiated (or transgenic) male insects introduction in a previously infested region. The release of sterile male insects aims to displace gradually the natural (wild) insect from the habitat. We discuss the suitability of this release technique when applied to peri-domestically adapted Aedes aegypti mosquitoes which are transmissors of Yellow Fever and Dengue disease.

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Available from: Hyun Mo Yang, Feb 07, 2014
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    • "There have been numerous mathematical papers discussing application of optimal control scenario to the mosquito reduction issue (see e.g. [28] [29] [8] [24] [7] [18] [30] and some references therein). The authors used prototypic autonomous model utmost, encouraging us to propose a novel approach adopting non-autonomous dynamical system theory. "
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    ABSTRACT: It is preliminarily known that Aedes mosquitoes are very close to humans and their dwellings, also give rises to a broad spectrum of diseases: dengue, yellow fever, chikungunya. In this paper, we explore a multi-age-class model for mosquito population secondarily classi- fied into indoor-outdoor dynamics. We accentuate a novel design for the model in which periodicity of the affecting time-varying environ- mental condition is taken into account. Application of the optimal control with collocated measure as apposed to the widely-used pro- totypic smooth time-continuous measure is also considered. Using two approaches: least-square and maximum likelihood, we estimate several involving undetermined parameters. We analyze the model enforceability to biological point of view such as existence, unique- ness, positivity and boundedness of solution trajectory, also existence and stability of (non)trivial periodic solution(s) by means of the basic mosquito offspring number. Some numerical tests are brought along at the rest of the paper as a compact realistic visualization of the model.
    Mathematical Methods in the Applied Sciences 03/2015; DOI:10.1002/mma.3517 · 0.92 Impact Factor
    • "In regions where intraannual variation in vector abundance and DENV transmission are predictable and positively associated with seasonal changes in rainfall or temperature (Vezzani et al. 2004, Dibo et al. 2008, Barrera et al. 2011), intensive, preemptive vector control efforts targeting container habitats that harbor dormant eggs when the vector population is most vulnerable (i.e., dry or cool season) can reduce the rate of increase in vector abundance preceding epidemic transmission (Chadee 2009), potentially inhibiting dissemination of DENV in the host population. Preemptive ovicidal strategies also could significantly improve the success potential of large-scale release programs for Wolbachia infected or genetically modified vectors (Esteva and Yang 2005, Jacups et al. 2013). While several agents have been identified as potential ovicides against dengue vector mosquitoes (e.g., Hatchett 1946, Judson et al. 1962, Sinniah 1983, Luz et al. 2007, Leyva et al. 2009), there has been little effort to develop them into practical tools that can be integrated into vector control programs to complement existing strategies. "
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    ABSTRACT: Accumulations of dormant eggs in container habitats allow Aedes aegypti populations to survive harsh environmental conditions and may frustrate control interventions directed at larval and adult life stages. While sodium hypochlorite solutions (NaOCl) have long been recognized as ovicides for use against dengue vectors, the susceptibility of eggs to spray applications has not been robustly evaluated on substrate materials representative of the most frequently utilized artificial container habitats. Experiments were performed under controlled and natural conditions by applying dilutions of household bleach (52.5 ppt NaOCl) as a spray to eggs on plastic, rubber, and concrete surfaces, with and without a smectite clay thickener. Laboratory assays identified the minimum NaOCl concentrations required to eliminate eggs on plastic (10 ppt), rubber (20 ppt) and concrete (20 ppt) surfaces. Addition of smectite clay reduced the minimum effective concentration to 10 ppt NaOCl for all 3 substrates. A minimum exposure period of 24 h was required to completely eliminate egg viability on concrete surfaces, even at the highest NaOCl concentration (52.5 ppt). Field experiments verified that spray application of a 1∶3 dilution of household bleach mixed with smectite clay can reduce egg hatching by ≥ 99% in shaded and sun-exposed plastic containers. Similarly, 4∶1 dilution of household bleach (with or without smectite clay) eliminated ≥ 98% of eggs from concrete surfaces in outdoor, water-filled drums. In this study, we propose a practical, effective and safe strategy for using household bleach to eliminate Ae. aegypti eggs in a range of artificial container habitats.
    Journal of the American Mosquito Control Association 03/2015; 31(1):77-84. DOI:10.2987/14-6427R.1 · 0.95 Impact Factor
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    • "female population with regards to incomplete fertility. [42] Esteva and Yang 2005 Models EBS implementation in males Equation-based population model with engineered to have no sperm. Release density dependent mortality. "
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    ABSTRACT: Background There is a renewed effort to develop novel malaria control strategies as even well-implemented existing malaria control tools may fail to block transmission in some regions. Currently, transgenic implementations of the sterile insect technique (SIT) such as the release of insects with a dominant lethal, homing endonuclease genes, or flightless mosquitoes are in development. These implementations involve the release of transgenic male mosquitoes whose matings with wild females produce either no viable offspring or no female offspring. As these technologies are all in their infancy, little is known about the relative efficiencies of the various implementations. Methods This paper describes agent-based modelling of emerging and theoretical implementations of transgenic SIT in Anopheles gambiae for the control of malaria. It reports on female suppression as it is affected by the SIT implementation, the number of released males, and competitiveness of released males. Conclusions The simulation experiments suggest that a late-acting bisex lethal gene is the most efficient of the four implementations we simulated. They demonstrate 1) the relative impact of release size on a campaign’s effectiveness 2) late-acting genes are preferred because of their ability to exploit density dependent larval mortality 3) late-acting bisex lethal genes achieve elimination before their female-killing counterparts.
    Malaria Journal 02/2015; 14(1). DOI:10.1186/s12936-015-0587-5 · 3.11 Impact Factor
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