| Abstract: |
| In this talk I will introduce a three-dimensional model to study the impact of limited health resources on transmission dynamics of mosquito-borne diseases by incorporating a nonlinear recovery rate. The model exhibits multi-steady states and backward bifurcation as common features of vector-borne diseases. We show that the cusp type of Bogdanov-Taken bifurcation of codimension 3 is the organizing center. Multiple limit cycles discovered in this model may help to reveal the recurrence mechanism of mosquito-borne diseases. Relaxation oscillations will also be discussed. |
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