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This article introduces a two-strain spatially explicit SIS epidemic model with space-dependent transmission parameters. We define reproduction numbers of the two strains, and show that the disease-free equilibrium will be globally stable if both reproduction numbers are below one. We also introduce the invasion numbers of the two strains which determine… (More)

The convergence properties of q-Bernstein polynomials are investigated. When q 1 is fixed the generalized Bernstein polynomials B n f of f , a one parameter family of Bernstein polynomials, converge to f as n → ∞ if f is a polynomial. It is proved that, if the parameter 0 < q < 1 is fixed, then B n f → f if and only if f is linear. The iterates of B n f are… (More)

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