چکیده
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This paper proposed a new nonstandard finite difference scheme for a mathematical model
of HIV infection. The technique of nonlocal approximation and renormalization of the denominator
of the discrete derivative was employed. The new scheme where found to possess
elementary stability property and also preserve the positivity property which is one of the
essential requirements for epidemic disease models. Unlike the other conventional approaches
that are routinely use for such problems, the solution of new scheme have positivity property
for any time step-sizes.
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