A nonstandard finite difference scheme for a basic model of cellular immune response to viral infection
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Publication:2005023
DOI10.1016/j.cnsns.2016.07.017zbMath1465.92028OpenAlexW2504609298MaRDI QIDQ2005023
Publication date: 7 October 2020
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2016.07.017
Cell biology (92C37) Finite difference and finite volume methods for ordinary differential equations (65L12) Pathology, pathophysiology (92C32)
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Cites Work
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- A discrete plant disease model with roguing and replanting
- Combination of nonstandard schemes and Richardson's extrapolation to improve the numerical solution of population models
- Killer cell dynamics. Mathematical and computational approaches to immunology.
- Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity
- Adaptivity and computational complexity in the numerical solution of ODEs
- Global stability of a deterministic model for HIV infection in vivo
- Nonstandard numerical methods for a mathematical model for influenza disease
- A nonstandard dynamically consistent numerical scheme applied to obesity dynamics
- Mathematical biology. Vol. 1: An introduction.
- Periodic and chaotic dynamics in a map-based model of tumor-immune interaction
- A mathematical model for the dynamics of HIV-1 during the typical course of infection.
- Dynamically consistent nonstandard finite difference schemes for epidemiological models
- A numerical comparison for a discrete HIV infection of CD4\(^{+}\) T-cell model derived from nonstandard numerical scheme
- Study of a system of non-linear difference equations arising in a deterministic model for HIV infection
- Optimal control and infectiology: Application to an HIV/AIDS model
- Nonnegative solutions of ODEs
- Global Asymptotic Stability of Equilibria in Models for Virus Dynamics
- An unconditionally stable nonstandard finite difference method applied to a mathematical model of HIV infection
- The MATLAB ODE Suite
- RELIABLE FINITE DIFFERENCE SCHEMES WITH APPLICATIONS IN MATHEMATICAL ECOLOGY
- ASYMPTOTICALLY CONSISTENT NON-STANDARD FINITE-DIFFERENCE METHODS FOR SOLVING MATHEMATICAL MODELS ARISING IN POPULATION BIOLOGY
- NONSTANDARD FINITE DIFFERENCE METHODS AND BIOLOGICAL MODELS
- NONSTANDARD DISCRETIZATION METHODS ON LOTKA-VOLTERRA DIFFERENTIAL EQUATIONS
- Preservation of local dynamics when applying central difference methods: application to SIR model
- On spurious asymptotic numerical solutions of explicit Runge-Kutta methods
- A Positivity-preserving Mickens-type Discretization of an Epidemic Model
- Kinetic equations modelling population dynamics
- A nonstandard finite difference method forn-dimensional productive–destructive systems
- Discrete Dynamical Systems
- Numerical integration of population models satisfying conservation laws: NSFD methods
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