Global analysis of an epidemic model with a constant removal rate
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Publication:2473228
DOI10.1016/j.mcm.2006.08.003zbMath1147.34037OpenAlexW2071388003MaRDI QIDQ2473228
Publication date: 26 February 2008
Published in: Mathematical and Computer Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.mcm.2006.08.003
limit cycleSIRS modelqualitative propertiesEpidemic modelPoincaré transformationequilibria at infinity
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60)
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Cites Work
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- A new class of quadratic systems
- Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
- Dynamical behavior of epidemiological models with nonlinear incidence rates
- Bifurcations in an epidemic model with constant removal rate of the infectives
- Homoclinic bifurcation in an SIQR model for childhood diseases
- A disease transmission model in a nonconstant population
- A predator-prey model with Ivlev's functional response
- Multiparametric bifurcations for a model in epidemiology
- Proof of the uniqueness theorem of limit cycles of generalized liénard equations
- Quadratic systems with a degenerate critical point