Saturation recovery leads to multiple endemic equilibria and backward bifurcation |
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Authors: | Cui Jingan Mu Xiaoxia Wan Hui |
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Institution: | a School of Mathematics and Computer Sciences, Institute of Mathematics, Nanjing Normal University, Nanjing 210097, PR China b College of Computer Science and Information Technology, Henan Normal University, Xinxiang 453007, PR China |
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Abstract: | The number of patients need to be treated may exceed the carry capacity of local hospitals during the spreading of a severe infectious disease. We propose an epidemic model with saturation recovery from infective individuals to understand the effect of limited resources for treatment of infectives on the emergency disease control. It is shown that saturation recovery from infective individuals leads to vital dynamics, such as bistability and periodicity, when the basic reproduction number R0 is less than unity. An interesting dynamical behavior of the model is a backward bifurcation which raises many new challenges to effective infection control. |
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Keywords: | Epidemic model Basic reproduction number Disease-free equilibrium Endemic equilibrium Stability |
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