These are some papers, to begin with, especially Lusk and Norwood (2009). It could happen that some of the papers are too technical, in that case omit them or try to understand as much as possible.
de Boer, J., Schösler, H., & Aiking, H. (2014). “Meatless days” or “less but better”? Exploring strategies to adapt Western meat consumption to health and sustainability challenges. Appetite, 76, 120-128.
Dagevos, H., & Voordouw, J. (2013). Sustainability and meat consumption: is reduction realistic?. Sustainability: Science, Practice, & Policy, 9(2), 60-69.
Grabs, J. (2015). The rebound effects of switching to vegetarianism. A microeconomic analysis of Swedish consumption behavior. Ecological Economics, 116, 270-279.
Hallström, E., Röös, E., & Börjesson, P. (2014). Sustainable meat consumption: A quantitative analysis of nutritional intake, greenhouse gas emissions and land use from a Swedish perspective. Food Policy, 47, 81-90.
Lusk, J. L., & Norwood, F. B. (2009). Some economic benefits and costs of vegetarianism. Agricultural and Resource Economics Review, 38(2), 109-124.
Lusk, J. L., & Norwood, F. B. (2011). Animal welfare economics. Applied Economic Perspectives and Policy, 33(4), 463-483.
Lusk, J. L., & Norwood, F. B. (2016). Some vegetarians spend less money on food, others don’t. Ecological Economics, 130, 232-242.
Tucker, C. A. (2014). The significance of sensory appeal for reduced meat consumption. Appetite, 81, 168-179.