A Positivity-preserving Mickens-type Discretization of an Epidemic Model
From MaRDI portal
Publication:4443219
DOI10.1080/1023619031000146913zbMath1033.92030OpenAlexW2034514851MaRDI QIDQ4443219
B. D. Corbett, Seyed M. Moghadas, Abba B. Gumel, Murray E. Alexander
Publication date: 11 January 2004
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/1023619031000146913
Epidemiology (92D30) Global stability of solutions to ordinary differential equations (34D23) Asymptotic properties of solutions to ordinary differential equations (34D05)
Related Items
Computational modelling and bifurcation analysis of reaction diffusion epidemic system with modified nonlinear incidence rate ⋮ Treatment of HIV/AIDS epidemic model with vertical transmission by using evolutionary Padé-approximation ⋮ \(\epsilon\)-uniformly convergent nonstandard finite difference methods for singularly perturbed differential difference equations with small delay ⋮ Global stability and a non-standard finite difference scheme for a diffusion driven HBV model with capsids ⋮ Unconditionally positivity and boundedness preserving schemes for a FitzHugh–Nagumo equation ⋮ A numerical comparison for a discrete HIV infection of CD4\(^{+}\) T-cell model derived from nonstandard numerical scheme ⋮ Persistence and global attractivity for a discretized version of a general model of glucose-insulin interaction ⋮ On the Dynamics of a Discrete Predator–Prey Model ⋮ A non-standard numerical scheme for a generalized Gause-type predator--prey model ⋮ A nonstandard numerical scheme of predictor-corrector type for epidemic models ⋮ An NSFD scheme for a class of SIR epidemic models with vaccination and treatment ⋮ A non-standard finite difference method for a hepatitis B virus infection model with spatial diffusion ⋮ GLOBAL ANALYSIS OF DIFFERENT COMPARTMENTS IN A GIVING-UP SMOKING MODEL ⋮ The analysis of the solution of the <scp>Burgers–Huxley</scp> equation using the Galerkin method ⋮ Neimark–Sacker bifurcations in a non-standard numerical scheme for a class of positivity-preserving ODEs ⋮ Positivity preserving scheme based on exponential integrators ⋮ Dynamical analysis and consistent numerics for a delay model of viral infection in phytoplankton population ⋮ Dynamics of an ultra-discrete SIR epidemic model with time delay ⋮ Unnamed Item ⋮ Global dynamics for discrete-time analog of viral infection model with nonlinear incidence and CTL immune response ⋮ On the use of nonstandard finite difference methods† ⋮ An accurate predictor-corrector-type nonstandard finite difference scheme for an SEIR epidemic model ⋮ Positivity-preserving methods for a linearised Fisher–KPP equation with consistency properties in the energy domain ⋮ A non-standard finite difference scheme for an epidemic model with vaccination ⋮ Nonstandard numerical methods for a mathematical model for influenza disease ⋮ A nonstandard finite difference scheme for a basic model of cellular immune response to viral infection ⋮ An implicit four-step computational method in the study on the effects of damping in a modified Fermi-Pasta-Ulam medium ⋮ Global dynamics for a class of discrete SEIRS epidemic models with general nonlinear incidence ⋮ Non-standard numerical method for a mathematical model of RSV epidemiological transmission ⋮ A nonstandard dynamically consistent numerical scheme applied to obesity dynamics ⋮ An unconditionally positive and global stability preserving NSFD scheme for an epidemic model with vaccination ⋮ The analysis of an efficient numerical scheme for the Allen-Cahn equations using the Galerkin method ⋮ On the dynamic consistency of a two-species competitive discrete system with toxicity: local and global analysis ⋮ Nonstandard numerical schemes for modeling a 2-DOF serial robot with rotational spring-damper-actuators ⋮ The Study of the Numerical Treatment of the Real Ginzburg–Landau Equation Using the Galerkin Method
Cites Work
