The two countries have pretty good relations right now, as both are affiliated with ALBA (Ecuador as a core member, and Haiti as an observer state).  Much of the bilateral relation concerns immigration policy, as Haitian immigration to Ecuador has increased dramatically.  There is an IOM report on Haitian immigration to Brazil that discusses the role of Ecuador that might be useful: http://publications.iom.int/bookstore/index.php?main_page=product_info&cPath=1&products_id=1422

Ecuador has also contributed to development and stabilization projects in Haiti.  I don't know right off of published scholarly work, but you can check out http://www.cancilleria.gob.ec/ecuador-and-haiti-a-relationship-built-on-cooperation-between-two-brotherly-countries/?lang=en for a statement from the Ecuadorian government about the relations between the countries.  It might be worth contacting Yves-Renée Jennings, a George Mason Ph.D and scholar/practitioner who has worked extensively in/on both Haiti and Ecuador, if you want deeper analysis, especially on issues related to peace and conflict.