Numerical modeling of the transmission dynamics of drug-sensitive and drug-resistant HSV-2 |
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| Authors: | A B GUMEL |
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| Institution: | Department of Mathematics, University of Manitoba, Winnipeg, Manitoba, R3T 2N2, Canada |
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| Abstract: | A competitive finite-difference method will be constructed and used to solve a modified deterministic model for the spread of herpes simplex virus type-2 (HSV-2) within a given population. The model monitors the transmission dynamics and control of drug-sensitive and drug-resistant HSV-2. Unlike the fourth-order Runge-Kutta method (RK4), which fails when the discretization parameters exceed certain values, the novel numerical method to be developed in this paper gives convergent results for all parameter values. |
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| Keywords: | HSV-2 finite-difference initial-value problem numerical instabilities positivity |
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