Yemen already has to import 83% of their food. The deserts were never meant to house so many people, and consequently they are always very vulnerable to external shocks and global dynamics, compounded by all the self inflicted domestic challenges.
On the other hand the Houthis have the resources to to hit Tel Aviv for the first time last month in show of support for Hamas, so the Israeli forces had to strike back and damage the crucial port of Hodeidah in response. Now their military needs to be feed.
Yemen has a major fresh water crisis, and sanitation is abysmal, but they have the resources to attack ships in the Red Sea. Put your resources in the right place if you want to continue so much international support.