Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 527, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.physa.2019.121407
Keywords
Complex network; Epidemic model; Saturated treatment function; Backward bifurcation; Stability
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Funding
- Ministry of Science and Technology of Taiwan [MOST 106-2115-M-017-001]
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In this paper, we present a study on a network-based SIS epidemic model with a saturated treatment function to characterize the saturation phenomenon of limited medical resources. In this model, we first obtain a threshold value R-0, which is the threshold condition for the stability of the disease-free equilibrium. We show that a backward bifurcation occurs under certain conditions. More precisely, the saturated treatment function leads to a such bifurcation. In this case, R-0 < 1 is not sufficient to eradicate the disease from the population. Furthermore, we also study the stability of the endemic equilibrium and the corresponding stability condition is given. Numerical experiments are conducted and their results validate the theoretical results. (C) 2019 Elsevier B.V. All rights reserved.
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