Results 111 to 120 of about 1,124 (201)

Stability Analysis Using Nonstandard Finite Difference Method and Model Simulation for Multi-Mutation and Drug Resistance with Immune-Suppression

open access: yes, 2018
We introduced recently a model that takes into account multi-mutation and drug resistance of tumor cells in a case of simple immune system and immune-suppression caused by the resistant tumor cells.
KIMATHI, Mark Eric   +2 more
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Non Standard Finite Difference Method for Quadratic Riccati Differential Equation

open access: yes, 2020
. In this paper, we proposed an unconditionally stable NonStandard Finite Difference (NSFD) scheme to solve nonlinear Riccati differential equation.
Samia Riaz; Department of Mathematics, University Of Engineering and Technology Lahore   +2 more
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Bifurcation analysis and nonstandard finite difference schemes for Kermack and McKendrick type epidemiological models [PDF]

open access: yes, 2013
Dissertation (MSc)--University of Pretoria, 2012.The classical SIR and SIS epidemiological models are extended by considering the number of adequate contacts per infective in unit time as a function of the total population in such a way that this number ...

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Nonstandard Finite Difference Predictor Corrector Method for Quadratic Riccati Differential Equation

open access: yesEuropean Journal of Pure and Applied Mathematics
Solving nonlinear differential equations reliably and effectively is critical for applications in epidemiology, ecology, and finance. Traditional finite difference approaches frequently exhibit numerical instability and fail to maintain crucial features such as positivity and boundedness.
Basit Rehman   +4 more
openaire   +1 more source

Nonstandard finite difference method of modelling zoonotic diseases

open access: yesCommunications in Mathematical Biology and Neuroscience, 2022
openaire   +1 more source

On Exact Finite-Difference Scheme for Numerical Solution of Initial Value Problems in Ordinary Differential Equations

open access: yes, 2020
This paper presents a numerical method called the Exact Finite-Difference Scheme for the solution of Ordinary Differential Equations of firstorder. The need for exact finite difference scheme came up due to some shortcomings of the standard methods; in ...
M.Sc. Joshua Sunday
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A Positivity-Preserving Nonstandard Finite Difference Scheme for Parabolic System with Cross-Diffusion Equations and Nonlocal Initial Conditions

open access: yes, 2016
An important number of ecological phenomena can be modeled using nonlinear diffusion partial differential equations. This paper considers a system of cross-diffusion equations with nonlocal initial conditions.
E. Songolo, Marc
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