An SIS epidemic model with individual variation

Philip K. Pollett; Philip K. Pollett

doi:10.3934/mbe.2024240

Mathematical Biosciences and Engineering

2024, Volume 21, Issue 4: 5446-5455. doi: 10.3934/mbe.2024240

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An SIS epidemic model with individual variation

Philip K. Pollett ^,

School of Mathematics and Physics, The University of Queensland, Qld 4072, Australia

Received: 25 January 2024 Revised: 28 February 2024 Accepted: 02 March 2024 Published: 14 March 2024

We study an extension of the stochastic SIS (Susceptible-Infectious-Susceptible) model in continuous time that accounts for variation amongst individuals. By examining its limiting behaviour as the population size grows we are able to exhibit conditions for the infection to become endemic.
- Epidemics,
- Markov processes,
- SIS Model,
- limit theorems,
- quasi stationarity
Citation: Philip K. Pollett. An SIS epidemic model with individual variation[J]. Mathematical Biosciences and Engineering, 2024, 21(4): 5446-5455. doi: 10.3934/mbe.2024240

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Abstract

We study an extension of the stochastic SIS (Susceptible-Infectious-Susceptible) model in continuous time that accounts for variation amongst individuals. By examining its limiting behaviour as the population size grows we are able to exhibit conditions for the infection to become endemic.

References

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