A simple SIR model of Zika virus fever (ZIKVF) dynamics has been presented in order to compute the basic reproduction number R0 and investigate the relative effect of each parameter in R0 through sensitivity analysis. Sensitivity indices indicated that R0 is most sensitive to the natural death rate of Aedes mosquitoes, and least sensitive to the recovery rate of human. This means that increasin...

Yaws is targeted for eradication by 2020. The mainstay of the eradication strategy is mass treatment followed by case finding. Modeling has been used to inform programmatic requirements for other neglected tropical diseases and could provide insights into yaws eradication. We developed a model of yaws transmission varying the coverage and number of rounds of treatment. The estimated number of c...

If the demographic parameters in a matrix model for the dynamics of a structured population are dependent on a parameter u, then the population growth rate r = r(u) and the net reproductive number R0 = R0(u) are functions of u. For a general matrix model, we show that r and R0 share critical values and extrema at values u = u∗ for which r(u∗) = R0(u∗) = 1. This allows us to re-interpret, in ter...

The information content of the autocorrelation function (ACF) of intensity fluctuations of the X–ray background (XRB) is analyzed. The tight upper limits set by ROSAT deep survey data on the ACF at arcmin scales imply strong constraints on clustering properties of X–ray sources at cosmological distances and on their contribution to the soft XRB. If quasars have a clustering radius r0 = 12–20 Mp...

Since the works of Newton and Lagrange, interpolation had been a mature technique in the numerical mathematics. Among the many interpolation methods, global or piecewise, the polynomial interpolation p(x) = a0 +a1x+ . . .+ anx expanded by the monomials is the simplest one, which is easy to handle mathematically. For higher accuracy, one always attempts to use a higher-order polynomial as an int...

One of the basic problems in discrete tomography is the reconstruction of discrete sets from few projections. Assuming that the set to be reconstructed fulfils some geometrical properties is a commonly used technique to reduce the number of possibly many different solutions of the same reconstruction problem. Since the reconstruction from two projections in the class of so-called hv-convex sets...

We investigate a class of multigroup dengue epidemic model. We show that the global dynamics are determined by the basic reproductive number R0. We present that when R0 ≤ 1, there is a unique disease-free equilibrium which is globally asymptotically stable; when R0 > 1, there exists a unique endemic equilibrium and it is globally asymptotically stable proved by a graph-theoretic approach to the...