Stability and bifurcation of an SIS epidemic model with treatment

Xue-Zhi Li, Wen-Sheng Li and Mini Ghosh

Chaos, Solitons & Fractals, 2009, vol. 42, issue 5, 2822-2832

Abstract: An SIS epidemic model with a limited resource for treatment is introduced and analyzed. It is assumed that treatment rate is proportional to the number of infectives below the capacity and is a constant when the number of infectives is greater than the capacity. It is found that a backward bifurcation occurs if the capacity is small. It is also found that there exist bistable endemic equilibria if the capacity is low.

Date: 2009
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:42:y:2009:i:5:p:2822-2832

DOI: 10.1016/j.chaos.2009.04.024

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