The study by scientists at Imperial College London appears in the US journal Science.
"The current explosive epidemic will burn itself out due to a phenomenon called herd immunity," said Neil Ferguson, a professor at Imperial's School of Public Health.
"Because the virus is unable to infect the same person twice -- thanks to the immune system generating antibodies to kill it -- the epidemic reaches a stage where there are too few people left to infect for transmission to be sustained."
Then, this herd immunity "will likely delay the next large Zika epidemic for more than a decade."
The virus, though first discovered in 1947, largely took public health officials by surprise when it began spreading through the Americas last year and causing birth defects.
The rise in infants born with irreversible malformations has been most acute in Brazil, where some 7,438 suspected microcephaly cases have been reported as of May and 1,326 cases confirmed, the study found.
Typically, Brazil saw fewer than 200 annual cases of microcephaly -- in which the infant is born with an unusually small head and brain.
The United States has seen a rise in travel-associated cases, but so far no local transmission has been observed.
Ferguson also warned that efforts to slow the spread of Zika, by increasing mosquito-control measures, could actually prolong the epidemic.
And efforts underway to design a vaccine -- which officials have said could take several years -- may come to fruition too late, he said.
"If our projections are correct, cases will have dropped substantially by the end of next year, if not sooner," said Ferguson.
Amid concerns about the potential spread of Zika during the upcoming Olympic Games in Rio de Janeiro, a separate report out yesterday by the US Centers for Disease Control and Prevention said that the risk of transmission is low.
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