A primary goal of NASA’s Living With a Star (LWS) Program is the development of first-principles-based models for the coupled Sun-Earth and Sun-Solar System. Such models can act as tools for science investigations, as prototypes and test beds for prediction and specification capabilities, as frameworks for linking disparate data sets at vantage points throughout the Sun-Solar System, and as strategic planning aids for enabling exploration of outer space and testing new mission concepts. To begin the process of developing and integrating models for all the components of the Sun-Earth and Sun-Solar System chain, the LWS Targeted Research and Technology (TR&T) Science Definition Team (SDT) identified these models and their integration as strategic capabilities that are critical for the TR&T program. The objective of a Strategic Capability (SC) within the LWS Program is development of one or more deliverables that address a significant and specific need for achieving the LWS and National Space Weather Program (NSWP) goals. It is expected that SCs will incorporate the latest scientific results from LWS Focus Science Teams, as well as other research.