A Nonstandard Finite Difference Scheme for SIS Epidemic Model with Delay: Stability and Bifurcation Analysis

Agus Suryanto

doi:10.4236/am.2012.36080

A Nonstandard Finite Difference Scheme for SIS Epidemic Model with Delay: Stability and Bifurcation Analysis

Applied Mathematics ◽

10.4236/am.2012.36080 ◽

2012 ◽

Vol 03 (06) ◽

pp. 528-534 ◽

Cited By ~ 1

Author(s):

Agus Suryanto

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Bifurcation Analysis ◽

Epidemic Model ◽

Finite Difference Scheme ◽

Sis Epidemic Model ◽

Nonstandard Finite Difference Scheme ◽

Stability And Bifurcation Analysis ◽

Nonstandard Finite Difference ◽

Sis Epidemic

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A nonstandard finite difference scheme for a multi-group epidemic model with time delay

Advances in Difference Equations ◽

10.1186/s13662-017-1415-8 ◽

2017 ◽

Vol 2017 (1) ◽

Cited By ~ 1

Author(s):

Jinhu Xu ◽

Yan Geng

Keyword(s):

Time Delay ◽

Finite Difference ◽

Difference Scheme ◽

Epidemic Model ◽

Finite Difference Scheme ◽

Nonstandard Finite Difference Scheme ◽

Nonstandard Finite Difference

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Stability properties of a nonstandard finite difference scheme for a hantavirus epidemic model

The Journal of Difference Equations and Applications ◽

10.1080/10236190600986537 ◽

2006 ◽

Vol 12 (12) ◽

pp. 1243-1256 ◽

Cited By ~ 3

Author(s):

Mingxiang Chen ◽

Dominic P. Clemence

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Epidemic Model ◽

Finite Difference Scheme ◽

Stability Properties ◽

Nonstandard Finite Difference Scheme ◽

Nonstandard Finite Difference

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Nonstandard finite difference scheme for SIRS epidemic model with disease-related death

10.1063/1.4945067 ◽

2016 ◽

Cited By ~ 2

Author(s):

Z. Fitriah ◽

A. Suryanto

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Epidemic Model ◽

Finite Difference Scheme ◽

Sirs Epidemic Model ◽

Nonstandard Finite Difference Scheme ◽

Nonstandard Finite Difference

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Mathematical modeling and nonstandard finite difference scheme analysis for the environmental and spillover transmissions of Avian Influenza A model

Dynamical Systems ◽

10.1080/14689367.2021.1872503 ◽

2021 ◽

pp. 1-40

Author(s):

A. Feukouo Fossi ◽

J. Lubuma ◽

C. Tadmon ◽

B. Tsanou

Keyword(s):

Mathematical Modeling ◽

Finite Difference ◽

Avian Influenza ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Influenza A ◽

Nonstandard Finite Difference Scheme ◽

Scheme Analysis ◽

Nonstandard Finite Difference

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A dynamically-consistent nonstandard finite difference scheme for the SICA model

Mathematical Biosciences and Engineering ◽

10.3934/mbe.2021231 ◽

2021 ◽

Vol 18 (4) ◽

pp. 4552-4571

Author(s):

Sandra Vaz ◽

◽

Delfim F. M. Torres ◽

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Nonstandard Finite Difference Scheme ◽

Nonstandard Finite Difference

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Exact finite-difference scheme and nonstandard finite-difference scheme for coupled Burgers equation

Advances in Difference Equations ◽

10.1186/1687-1847-2014-122 ◽

2014 ◽

Vol 2014 (1) ◽

pp. 122 ◽

Cited By ~ 2

Author(s):

Lei Zhang ◽

Lisha Wang ◽

Xiaohua Ding

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Burgers Equation ◽

Nonstandard Finite Difference Scheme ◽

Coupled Burgers Equation ◽

Nonstandard Finite Difference

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A nonlinear nonstandard finite difference scheme for the linear time-dependent Schrödinger equation

The Journal of Difference Equations and Applications ◽

10.1080/10236190500489426 ◽

2006 ◽

Vol 12 (3-4) ◽

pp. 313-320 ◽

Cited By ~ 1

Author(s):

Ronald E. Mickens

Keyword(s):

Finite Difference ◽

Schrödinger Equation ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Schrodinger Equation ◽

Linear Time ◽

Time Dependent ◽

Nonstandard Finite Difference Scheme ◽

Nonstandard Finite Difference

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Nonstandard finite difference schemes for solving an SIS epidemic model with standard incidence

Rendiconti del Circolo Matematico di Palermo (1952 -) ◽

10.1007/s12215-019-00436-x ◽

2019 ◽

Vol 69 (3) ◽

pp. 753-769 ◽

Cited By ~ 2

Author(s):

Manh Tuan Hoang ◽

Oluwaseun Francis Egbelowo

Keyword(s):

Finite Difference ◽

Epidemic Model ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Sis Epidemic Model ◽

Nonstandard Finite Difference ◽

Sis Epidemic

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A Nonstandard Finite Difference Scheme for Water-Related Disease Mathematical Model,

Applied Mathematics & Information Sciences ◽

10.18576/amis/130405 ◽

2019 ◽

Vol 13 (4) ◽

pp. 545-551 ◽

Cited By ~ 1

Author(s):

Meksianis Z., Bertha S., David Ndii, Djahi, Tambaru

Keyword(s):

Mathematical Model ◽

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Related Disease ◽

Nonstandard Finite Difference Scheme ◽

Nonstandard Finite Difference

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A smart nonstandard finite difference scheme for second order nonlinear boundary value problems

Journal of Computational Physics ◽

10.1016/j.jcp.2011.04.033 ◽

2011 ◽

Vol 230 (17) ◽

pp. 6464-6474 ◽

Cited By ~ 24

Author(s):

Utku Erdogan ◽

Turgut Ozis

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Boundary Value Problems ◽

Finite Difference Scheme ◽

Nonlinear Boundary ◽

Boundary Value ◽

Second Order ◽

Nonlinear Boundary Value Problems ◽

Nonstandard Finite Difference Scheme ◽

Nonstandard Finite Difference

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