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Epidemic in the Gompertz population model with Allee effect and uncertainty in parameters
Z Amarti*, N Anggriani, and A K Supriatna

Universitas Padjadjaran


The deterministic model is a mathematical model in which symptoms can be measured with a high degree of certainty. In the deterministic model it is assumed that the event has 2 opportunity to occur, i.e. whether it happened or not. In particular, we investigate the possibility of epidemics in the Gompertz population model having critical density dependent growth and allow uncertainty in parameters. We perform fuzzy approach. We found that, in some cases modeling was found to be uncertain in determining initial values and model parameters. In this case, the epidemic can be disrupted when the initial value is below the Allee threshold. The results confirm that the solution to the Gompertz epidemic model with the Allee effect uses a crisp and fuzzy approach, quantitatively giving different results, but qualitatively give the same long-term results.

Keywords: Epidemic model, Critical value, Fuzzy theory

Topic: Mathematics Education


Conference: International Conference on Mathematics and Science Education (ICMScE 2019)

Plain Format | Corresponding Author (Zenia Amarti)

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