Dynamically consistent discrete epidemic model with modified saturated incidence rate

A. Suryanto; W. M. Kusumawinahyu; I. Darti; I. Yanti

doi:10.1007/s40314-013-0026-6

Dynamically consistent discrete epidemic model with modified saturated incidence rate

A. Suryanto^*
, W. M. Kusumawinahyu
, I. Darti
, I. Yanti

^*Corresponding author for this work

Faculty of Mathematics and Natural Sciences

Research output: Contribution to journal › Article › peer-review

39 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	373-383
Number of pages	11
Journal	Computational and Applied Mathematics
Volume	32
Issue number	2
DOIs	https://doi.org/10.1007/s40314-013-0026-6
Publication status	Published - Jul 2013

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

Keywords

Dynamically consistent
Modified saturated incidence rate
Nonstandard finite difference scheme
SIR epidemic model

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10.1007/s40314-013-0026-6

Cite this

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abstract = "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.",

keywords = "Dynamically consistent, Modified saturated incidence rate, Nonstandard finite difference scheme, SIR epidemic model",

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AU - Darti, I.

AU - Yanti, I.

PY - 2013/7

Y1 - 2013/7

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AB - 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.

KW - Dynamically consistent

KW - Modified saturated incidence rate

KW - Nonstandard finite difference scheme

KW - SIR epidemic model

UR - https://www.scopus.com/pages/publications/84879211794

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DO - 10.1007/s40314-013-0026-6

M3 - Article

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JO - Computational and Applied Mathematics

JF - Computational and Applied Mathematics

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ER -

Dynamically consistent discrete epidemic model with modified saturated incidence rate

Abstract

UN SDGs

Keywords

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