It is very common to use dynamic methods to detect deadlocks in MPI programs for the reason that static methods have some restrictions. To guarantee high reliability of some important MPI-based application software, a model of MPI synchronization communication is abstracted and a type of static method is devised to examine deadlocks in such modes. The model has three forms with different complexity: sequential model, single-loop model and nested-loop model. Sequential model is a base for all models. Single-loop model must be treated with a special type of equation group and nested-loop model extends the methods for the other two models. A standard Java-based software framework originated from these methods is constructed for determining whether MPI programs are free from synchronization communication deadlocks. Our practice shows the software framework is better than those tools using dynamic methods because it can dig out all synchronization communication deadlocks before an MPI-based program goes into running.