Global dynamics of a dengue epidemic mathematical model
From MaRDI portal
Publication:603948
DOI10.1016/j.chaos.2009.03.130zbMath1198.34075OpenAlexW2077339070MaRDI QIDQ603948
Mini Ghosh, Li-Ming Cai, Xue-Zhi Li, Shu-Min Guo
Publication date: 8 November 2010
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2009.03.130
Epidemiology (92D30) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23)
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Cites Work
- Unnamed Item
- Transmission of Dengue hemorrhagic fever in an age structured population
- Analysis of an HIV/AIDS treatment model with a nonlinear incidence
- Lyapunov functions for a dengue disease transmission model
- Lie integrable cases of the simplified multistrain/two-stream model for tuberculosis and dengue fever
- Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
- Dynamical behavior of epidemiological models with nonlinear incidence rates
- A generalization of the Kermack-McKendrick deterministic epidemic model
- A model for dengue disease with variable human population
- Analysis of a dengue disease transmission model
- Competitive exclusion in a vector-host model for the dengue fever
- Global stability for the SEIR model in epidemiology
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- Compound matrices and ordinary differential equations
- Stability and bifurcation analysis in a delayed SIR model
- Systems of Differential Equations That are Competitive or Cooperative. IV: Structural Stability in Three-Dimensional Systems
- Systems of Ordinary Differential Equations Which Generate an Order Preserving Flow. A Survey of Results
- Convergence for Strongly Order-Preserving Semiflows