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Dynamical evolution of discrete epidemic models

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  • Méndez, Vicenç
  • Fort, Joaquim

Abstract

The dynamical evolution of a deterministic epidemic model is studied. We model the system by taking into account an intermediate class of population, say infected, which after a latency period enter into the infectious class. A mortality rate induced by the disease is also considered. The system evolves towards a final state which may develop a catastrophic epidemic if small outbreaks of the disease emerge. The final size, the threshold and the severity of the epidemic are also analyzed and calculated for this model.

Suggested Citation

  • Méndez, Vicenç & Fort, Joaquim, 2000. "Dynamical evolution of discrete epidemic models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 284(1), pages 309-317.
    • Handle: RePEc:eee:phsmap:v:284:y:2000:i:1:p:309-317
    DOI: 10.1016/S0378-4371(00)00210-7
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    Cited by:

    1. Hu, Zengyun & Teng, Zhidong & Zhang, Tailei & Zhou, Qiming & Chen, Xi, 2017. "Globally asymptotically stable analysis in a discrete time eco-epidemiological system," Chaos, Solitons & Fractals, Elsevier, vol. 99(C), pages 20-31.
    2. Gupta, Aparna & Li, Zhisheng, 2011. "Calibration of a stochastic health evolution model using NHIS data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(20), pages 3524-3540.
    3. Zhang, Zhibin, 2007. "The outbreak pattern of SARS cases in China as revealed by a mathematical model," Ecological Modelling, Elsevier, vol. 204(3), pages 420-426.

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