On the integrability of the SIR epidemic model with vital dynamics
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Publication:2246548
DOI10.1155/2020/5869275zbMath1482.34120OpenAlexW3038624168MaRDI QIDQ2246548
Publication date: 16 November 2021
Published in: Advances in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2020/5869275
Epidemiology (92D30) Explicit solutions, first integrals of ordinary differential equations (34A05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Invariant manifolds for ordinary differential equations (34C45)
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Cites Work
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- Exact analytical solutions of the susceptible-infected-recovered (SIR) epidemic model and of the SIR model with equal death and birth rates
- Invariant algebraic surfaces for a virus dynamics
- Integrability of dynamical systems: algebra and analysis
- Invariant algebraic surfaces for generalized Raychaudhuri equations
- The explicit series solution of SIR and SIS epidemic models
- First integrals of the Maxwell-Bloch system
- Variational iteration method for solving the epidemic model and the prey and predator prob\-lem
- Multiplicity of invariant algebraic curves in polynomial vector fields
- Integrability of reversible and equivariant quadratic polynomial differential systems in the plane
- Integrability analysis of the Shimizu-Morioka system
- Exact solution to a dynamic SIR model
- Invariant algebraic surfaces and algebraic first integrals of the Maxwell-Bloch system
- Solution of the epidemic model by Adomian decomposition method
- Qualitative theory of planar differential systems
- Ion acoustic solitary wave solutions of two-dimensional nonlinear Kadomtsev-Petviashvili-Burgers equation in quantum plasma
- Bounded Polynomial Vector Fields
- Invariant algebraic surfaces of the Lorenz system
- On the global dynamics of the Newell–Whitehead system
- On the global dynamics of a three-dimensional forced-damped differential system
- Differential Galois integrability obstructions for nonlinear three-dimensional differential systems
- Meromorphic and formal first integrals for the Lorenz system
- Integrable deformations, bi-Hamiltonian structures and nonintegrability of a generalized Rikitake system
- On the analytic integrability of the $5$–dimensional Lorenz system for the gravity–wave activity
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