Global dynamics of a discretized heroin epidemic model with time delay (Q1724871)
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scientific article; zbMATH DE number 7022995
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global dynamics of a discretized heroin epidemic model with time delay |
scientific article; zbMATH DE number 7022995 |
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Global dynamics of a discretized heroin epidemic model with time delay (English)
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14 February 2019
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Summary: We derive a discretized heroin epidemic model with delay by applying a nonstandard finite difference scheme. We obtain positivity of the solution and existence of the unique endemic equilibrium. We show that heroin-using free equilibrium is globally asymptotically stable when the basic reproduction number \(R_0 < 1\), and the heroin-using is permanent when the basic reproduction number \(R_0 > 1\).
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heroin epidemic model
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global asymptotic stability
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0.9731997
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0.9498416
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0.94927496
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0.9472039
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0.9283106
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0.92775226
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0.92523414
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