scientific article; zbMATH DE number 7817731
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Publication:6195643
arXiv2209.08549MaRDI QIDQ6195643
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Publication date: 14 March 2024
Full work available at URL: https://arxiv.org/abs/2209.08549
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hodograph transformationexact solutionsconserved quantitiesSIR modelultradiscretizationintegrable discretizations
Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Integrable difference and lattice equations; integrability tests (39A36)
Cites Work
- Exact analytical solutions of the susceptible-infected-recovered (SIR) epidemic model and of the SIR model with equal death and birth rates
- A note on the derivation of epidemic final sizes
- A self-adaptive moving mesh method for the Camassa-Holm equation
- Some discrete-time SI, SIR, and SIS epidemic models
- The problem of integrable discretization: Hamiltonian approach
- Epidemic dynamics: discrete-time and cellular automaton models
- Dynamics of an ultra-discrete SIR epidemic model with time delay
- Discretizations of nonlinear differential equations using explicit nonstandard methods
- Time-continuous and time-discrete SIR models revisited: theory and applications
- The Mathematics of Infectious Diseases
- Discrete Systems and Integrability
- An integrable semi-discretization of the Camassa–Holm equation and its determinant solution
- How to discretize differential systems in a systematic way
- A Positivity-preserving Mickens-type Discretization of an Epidemic Model
- Mathematical Models in Epidemiology
- An Introduction to Mathematical Epidemiology
- Integrable discretizations of the short pulse equation