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• W2030628045 abstract "We investigate two cases of a sharp change of incidencec functions on the dynamics of a susceptible-infective-susceptible epidemic model. In the first case, low population levels have mass action incidence, while high population levels have proportional incidence, the switch occurring when the total population reaches a certain threshold. Using a modified Dulac theorem, we prove that this system has a single equilibrium which attracts all solutions for which the disease is present and the population remains bounded. In the second case, an increase of the number of infectives leads to a mass action term being added to a standard incidence term. We show that this allows a Hopf bifurcation to occur, with periodic orbits being generated when a locally asymptotically stable equilibrium loses stability." @default.
• W2030628045 created "2016-06-24" @default.
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• W2030628045 date "2010-09-01" @default.
• W2030628045 modified "2023-09-24" @default.
• W2030628045 title "Effect of a sharp change of the incidence function on the dynamics of a simple disease" @default.
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• W2030628045 doi "https://doi.org/10.1080/17513751003793017" @default.
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