Analysis of two discrete forms of the classic continuous SIR epidemiological model
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Publication:4959985
DOI10.1080/10236198.2019.1696323zbMath1436.39011OpenAlexW2994439953WikidataQ126627001 ScholiaQ126627001MaRDI QIDQ4959985
Karina Vilches-Ponce, Fernando Córdova-Lepe, Rodrigo Gutierrez
Publication date: 8 April 2020
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10236198.2019.1696323
Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Growth, boundedness, comparison of solutions to difference equations (39A22) Applications of difference equations (39A60)
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Cites Work
- Unnamed Item
- Computing the basic reproductive numbers for epidemiological models in nonhomogeneous environments
- Global stability for a discrete epidemic model for disease with immunity and latency spreading in a heterogeneous host population
- Modeling pulse infectious events irrupting into a controlled context: a SIS disease with almost periodic parameters
- Modelling the dynamics of nonendemic epidemics
- Global stability analysis with a discretization approach for an age-structured multigroup SIR epidemic model
- Dynamics of a discretized SIR epidemic model with pulse vaccination and time delay
- Bifurcation analysis in an SIR epidemic model with birth pulse and pulse vaccination
- Bifurcations for a deterministic SIR epidemic model in discrete time
- Some discrete SI and SIS epidemic models
- Non-standard numerical method for a mathematical model of RSV epidemiological transmission
- Pulse vaccination strategy in the SIR epidemic model
- Some discrete-time SI, SIR, and SIS epidemic models
- Mixed pulse vaccination strategy in epidemic model with realistically distributed infectious and latent times.
- Theoretical examination of the pulse vaccination policy in the SIR epidemic model.
- Stability properties of pulse vaccination strategy in SEIR epidemic model
- Dynamics of an ultra-discrete SIR epidemic model with time delay
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- Stability analysis in a class of discrete SIRS epidemic models
- Comparison of deterministic and stochastic SIS and SIR models in discrete time
- Study on the threshold of a stochastic SIR epidemic model and its extensions
- Global stability of the endemic equilibrium of a discrete SIR epidemic model
- Complexity of an SIR epidemic dynamics model with impulsive vaccination control
- A discrete epidemic model for SARS transmission and control in China
- Biomathematical analysis and extension of the new class of epidemic models proposed by Satsuma et al. (2004)
- The Mathematics of Infectious Diseases
- An NSFD scheme for a class of SIR epidemic models with vaccination and treatment
- A Short History of Mathematical Population Dynamics
- A PULSE VACCINATION STRATEGY AT VARIABLE TIMES DEPENDING ON INCIDENCE
- Mathematical Structures of Epidemic Systems
- Global dynamics of difference equations for SIR epidemic models with a class of nonlinear incidence rates
- POPULATION GROWTH MODELING WITH BOOM AND BUST PATTERNS: THE IMPULSIVE DIFFERENTIAL EQUATION FORMALISM
- A SIR-model with square-root dynamics: An NSFD scheme
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