Dynamically consistent discrete epidemic model with modified saturated incidence rate

被引：0
|
作者：
A. Suryanto
W. M. Kusumawinahyu
I. Darti
I. Yanti
机构：
[1] Brawijaya University,Department of Mathematics, Faculty of Sciences
来源：
Computational and Applied Mathematics | 2013年 / 32卷
关键词：
Dynamically consistent; Nonstandard finite difference scheme; SIR epidemic model; Modified saturated incidence rate; Primary 37M99; Secondary 92D30;
D O I：
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中图分类号：
学科分类号：
摘要：
A nonstandard finite difference scheme is constructed to solve a SIR epidemic model with modified saturated incidence rate. The dynamical properties of the resulting discrete system are then analyzed. It is shown that the discrete system is dynamically consistent with the continuous model because it preserves essential properties of the considered model, such as positivity and boundedness of solutions, equilibrium points and their stability properties. These properties are confirmed by numerical simulations.
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页码：373 / 383
页数：10
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