| Abstract: |
| A mathematical model for Zika virus dynamics under randomly varying environment conditions is developed, in which the birth and death rates for mosquitoes, and the transmission rate of Zika virus between humans are modeled as random processes. The resulting system of random ordinary differential equations is studied by the theory of random dynamical systems. In particular, the existence, uniqueness and positiveness of solutions are first discussed. Then the long term dynamics in terms of existence and geometric structures of random attractors are investigated. |
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