I would like to suggest a new journal. It is not likely to be ranked yet, but you may find it useful - the Journal of Social Inclusion Studies. You can explore it at:
your chosen topic "poverty" is a general, basic and important topic in the field of social research. So, in my opinion, it's difficult to recommend top-ranked journals, because certain journals deal with the topic "poverty", but they use terms like "inequality", "social welfare" or "social indicator". Based on this and using the search term "poverty analysis", I 'd like to recommend the following journals ( without requirement on completeness):
The Journal of Economic Inequality, 2013 Impact Factor: 1.352, see: http://link.springer.com/search?query=poverty+analysis&search-within=Journal&facet-journal-id=10888
Economic Studies in Inequality, Social Exclusion and Well-Being (book series). see: http://www.springer.com/series/7140?detailsPage=titles
Social Choice and Welfare, 2013 Impact Factor: 0.590, see: http://link.springer.com/search?query=%22poverty+analysis%22&search-within=Journal&facet-journal-id=355
Social Indicators Research, 2013 Impact Factor: 1.452, see: http://link.springer.com/search?query=%22poverty+analysis%22&search-within=Journal&facet-journal-id=11205
Journal of Social Policy, Impact Factor: 1.632, see: http://journals.cambridge.org/action/quickSearch?quickSearchType=search_specific&inputField1=%22poverty+analysis%22&journalParam=Journal+of+Social+Policy&journals=All&fieldStartMonth=01&fieldStartYear=1800&fieldEndMonth=12&fieldEndYear=2015&searchType=ADVANCESEARCH&searchTypeFrom=quickSearch&fieldScjrnl=All&fieldSccats=All&selectField1=%23&jnlId=JSP&journalSearchType=journal
Social Policy and Society, see: http://journals.cambridge.org/action/quickSearch?quickSearchType=search_specific&inputField1=%22poverty+analysis%22&journalParam=Social+Policy+and+Society&journals=All&fieldStartMonth=01&fieldStartYear=1800&fieldEndMonth=12&fieldEndYear=2015&searchType=ADVANCESEARCH&searchTypeFrom=quickSearch&fieldScjrnl=All&fieldSccats=All&selectField1=%23&jnlId=SPS&journalSearchType=journal
World Development, 5-Year Impact Factor: 2.319, see: http://www.sciencedirect.com/science?_ob=ArticleListURL&_method=list&_ArticleListID=-723917962&_sort=r&_st=13&view=c&md5=7441bc9035093426f65619a411b30013&searchtype=a
World Bank Research Observer, 5-Yr impact factor: 2.784, see: http://wbro.oxfordjournals.org/search?fulltext=%22poverty+analysis%22&submit=yes&x=0&y=0
In genersal I do not ee many of the international journale on agriculture econics or rural development which should be right in line with your work. Try gooling thsoe subjects and you will find plenty. Start with
please try to get a book entitled "Introduction to the Social States" by D. Kioukias (Kιούκιας) which contains some thoughts on poverty. Its original title is "Εισαγωγή στα Κοινωνικά Κράτη: Συγκριτικές αναλύσεις και πρακτική φιλοσοφία". It' s not a complete account of the subject, but might be helpful. Thank you,
International Journal of Urban and Regional Research has some articles on low-income housing, as does Habitat International. Journal of Peasant Studies has articles on the rural poor of the South. The new paradigm that has taken over is asset vulnerability ananysis. You can go to "google scholar" and put in key words to pull up articles.
Excellent resourse Oliver Mtapuri, though it is lacking some journals on rural poverty, such as Journal of Agrarian Change, Journal of Peasant Studies, Culture and Agriculture, and even the Economic and Political Weekly of India.
Along with resources suggested by Tamar Diana Wilson and Oliver Mtapuri, you may also find "OPHI" quite interesting for recent advances in poverty analysis like Multidimensional Poverty Index created by Sabina Alkire. You can find working papers, Research in Progress and references to special issues of journals like: Social Indicators Research, Econometric Reviews and Oxford Development Studies.
Oxford Poverty & Human Development Initiative (OPHI)