SANTIAGO, Chile (AP) — President José Jarí of Peru said his government on Friday would declare a state of emergency along the country’s southern border and deploy more armed forces to the area as a large number of Venezuelan migrants venture north from Chile, where anti-immigrant sentiment has surged during a fraught presidential campaign.

Hundreds of thousands of migrants escaping crises in their home countries or seeking better opportunities abroad long have traversed the continent and the Peruvian border to build new lives in Chile, one of Latin America’s most stable and prosperous nations.

But scores of people without legal status in Chile — mostly Venezuelans who fled their country’s economic ruin and authoritarian rule in recent years — are now also headed in the other direction as

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