Note that I am not asking which to choose (MVC or MVP), but rather if one of the two should be used for a web application.
I realize that it might be too much work to convert an older application from its current design to a MVC or MVP pattern. However, what about for a new app? It appears these are the most popular architecture patterns, so should one of these be chosen? If not, what other patterns are there?
If you are not familiar with MVC and/or MVP, a good question to check out is ‘What are MVP and MVC and what is the difference?’. It has many good answers, including links to various websites that break down each one.
MVP / MVC works well in web applications because the HTTP verb + URL combination is a very good way to determine which action to take. There are reasons not to use it, such as if your team has a lot of experience with another framework, but I would generally recommend an MVP / MVC framework. Your application will be finished quicker with higher quality.