38 research outputs found

    Dimensional and non-dimensional model parameters with default values used in all calculations (unless otherwise stated).

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    <p>Dimensional and non-dimensional model parameters with default values used in all calculations (unless otherwise stated).</p

    A) Critical treatment efficacy for SR and non-SR dynamics and different treatment intervals.

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    <p>B) Evolution of worm burden in children under annual treatment with and without sexual reproduction dynamics (default parameter values and R<sub>0</sub> = 2) C) Time series showing effect of different intervention frequencies with same annual treatment rate. D) Minimum number of treatment rounds necessary to achieve elimination (with SR) as a function of R0 and the interval between treatments.</p

    A) Solutions of equations (1–2), without age structure, both with and without mating probability factor φ.

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    <p>Broken lines represent unstable solutions [Inset: Mating probability factor φ as a function of mean worm burden]. B) Time series for mean worm burden in children and adults and reservoir content in response to annual treatment.</p

    Additional file 1: Figure S1. of Developing a mathematical model for the evaluation of the potential impact of a partially efficacious vaccine on the transmission dynamics of Schistosoma mansoni in human communities

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    Population pyramid by age and sex of Malawi from the US Bureau of Population and Census database ( https://www.census.gov/population/international/data/idb/region.php?N= Results &T=12&A=separate&RT=0&Y=2016&R=−1&C=MI ). The plots show exponential decay in population size by age, with a mean life expectancy 1 μ \left(\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$\upmu $}\right.\right) for the total population of approximately 50 years. (TIFF 105 kb

    Additional file 2: of Developing a mathematical model for the evaluation of the potential impact of a partially efficacious vaccine on the transmission dynamics of Schistosoma mansoni in human communities

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    Analytical solutions of the host population dynamics. Analytical solutions of the parasite population dynamics. Derivation of equations of the transmission functions. Density dependence and mating probability functions. Derivation of the effective reproductive number, R e . Derivation of R e formula in terms of R 0 and R 0 v R0v {R}_0^v . (DOCX 29 kb
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