Uniform asymptotic stability of a Logistic model with feedback control of fractional order and nonstandard finite difference schemes

Uniform Asymptotic Stability ◽

Global asymptotic stability of an SEIRS model and its solutions by nonstandard finite difference schemes

Journal of Nonlinear Functional Analysis ◽

10.23952/jnfa.2020.34 ◽

2020 ◽

Vol 2020 (1) ◽

Keyword(s):

Asymptotic Stability ◽

Finite Difference ◽

Global Asymptotic Stability ◽

Difference Schemes ◽

Numerical dynamics of nonstandard finite difference schemes for a Logistics model with feedback control

ANNALI DELL UNIVERSITA DI FERRARA ◽

10.1007/s11565-020-00338-2 ◽

2020 ◽

Vol 66 (1) ◽

pp. 51-65 ◽

Cited By ~ 1

Author(s):

Manh Tuan Hoang ◽

Oluwaseun Francis Egbelowo

Keyword(s):

Feedback Control ◽

Finite Difference ◽

Difference Schemes ◽

Nonstandard Finite Difference ◽

Numerical Dynamics

Nonstandard finite difference schemes for a fractional-order Brusselator system

Advances in Difference Equations ◽

10.1186/1687-1847-2013-102 ◽

2013 ◽

Vol 2013 (1) ◽

Cited By ~ 8

Author(s):

Mevlüde Yakıt Ongun ◽

Damla Arslan ◽

Roberto Garrappa

Keyword(s):

Finite Difference ◽

Fractional Order ◽

Difference Schemes ◽

Construction of nonstandard finite difference schemes for the SI and SIR epidemic models of fractional order

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2015.09.001 ◽

2016 ◽

Vol 121 ◽

pp. 48-63 ◽

Cited By ~ 44

Author(s):

Abraham J. Arenas ◽

Gilberto González-Parra ◽

Benito M. Chen-Charpentier

Keyword(s):

Finite Difference ◽

Fractional Order ◽

Difference Schemes ◽

Epidemic Models ◽

Sir Epidemic ◽

Sir Epidemic Models ◽

Dynamic consistency: a fundamental principle for constructing nonstandard finite difference schemes for differential equations

The Journal of Difference Equations and Applications ◽

10.1080/10236190412331334527 ◽

2005 ◽

Vol 11 (7) ◽

pp. 645-653 ◽

Cited By ~ 100

Author(s):

Ronald E. Mickens

Keyword(s):

Finite Difference ◽

Differential Equations ◽

Fundamental Principle ◽

Difference Schemes ◽

Dynamic Consistency ◽

Coupling finite volume and nonstandard finite difference schemes for a singularly perturbed Schrödinger equation

International Journal of Computer Mathematics ◽

10.1080/00207160.2015.1076569 ◽

2015 ◽

Vol 93 (11) ◽

pp. 1833-1844 ◽

Cited By ~ 5

Author(s):

A.A. Aderogba ◽

M. Chapwanya ◽

J. Djoko Kamdem ◽

J.M.-S. Lubuma

Keyword(s):

Finite Difference ◽

Schrödinger Equation ◽

Finite Volume ◽

Schrodinger Equation ◽

Difference Schemes ◽

Singularly Perturbed ◽

On the convergence of Mickens’ type nonstandard finite difference schemes on Lane-Emden type equations

Journal of Mathematical Chemistry ◽

10.1007/s10910-018-0880-y ◽

2018 ◽

Vol 56 (6) ◽

pp. 1667-1706 ◽

Cited By ~ 15

Author(s):

Amit Kumar Verma ◽

Sheerin Kayenat

Keyword(s):

Finite Difference ◽

Difference Schemes ◽

Numerical dynamics of nonstandard finite difference schemes for a computer virus propagation model

International Journal of Dynamics and Control ◽

10.1007/s40435-019-00604-y ◽

2019 ◽

Vol 8 (3) ◽

pp. 772-778 ◽

Cited By ~ 2

Author(s):

Quang A. Dang ◽

Manh Tuan Hoang

Keyword(s):

Finite Difference ◽

Computer Virus ◽

Difference Schemes ◽

Propagation Model ◽

Virus Propagation ◽

Computer Virus Propagation Model ◽

Nonstandard Finite Difference ◽

Numerical Dynamics

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 ◽

Sis Epidemic Model ◽

Nonstandard Finite Difference ◽

Sis Epidemic

Positivity-preserving nonstandard finite difference schemes for cross-diffusion equations in biosciences

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2014.04.021 ◽

2014 ◽

Vol 68 (9) ◽

pp. 1071-1082 ◽

Cited By ~ 11

Author(s):

Michael Chapwanya ◽

Jean M.-S. Lubuma ◽

Ronald E. Mickens

Keyword(s):

Finite Difference ◽

Difference Schemes ◽

Diffusion Equations ◽

Positivity Preserving ◽

Cross Diffusion ◽