(CNN) Haitian President Jovenel Moise has rejected calls for his resignation and promised unspecified economic measures after more than a week of deadly anti-government protests.

His administration rocked by soaring inflation and accusations of corruption, Moise said he will not allow the country to fall into the hands of criminals and urged dialogue to end a recent wave of violent demonstrations in the capital of Port-au-Prince.

Moise's stance came as the United States issued a "Do not travel" advisory to the island and Canada made plans to evacuate more than 100 of its citizens from a resort in Haiti.

For more than a week, protesters have set cars ablaze and clashed with police amid gasoline shortages, reports of widespread looting, and demands that Moise and Prime Minister Jean-Henry Céant step down.

Several people have been killed, according to local media reports. CNN hasn't been able to independently confirm the number of protest-related fatalities.

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