The immune system is able to protect the host from tumor onset, and immune deficiencies
are accompanied by an increased risk of cancer. Immunology is one of the fields in biology
where the role of computational and mathematical modeling and analysis were recognized the
earliest, beginning from 60s of the last century. We introduce the two most common methods
in simulating the competition among the immune system, cancers and tumor immunology
strategies: differential equations and rule-based models. Several specific implementations
are presented, describing in details how they work and how they advance or contribute the
field of tumor immunology.