We establish the interaction model of two cell populations following the concept of the random-walk, and assume the cell movement is constrained by space limitation primarily. Furthermore, we analyze the model to obtain the behavior of two cell populations as time is closed to initial state and far into the future.
Meng-Rong Li. Yu-Ju Lin. Tzong-Hann Shieh. "The Space-Jump Model of the Movement of Tumor Cells and Healthy Cells." Abstr. Appl. Anal. 2014 (SI01) 1 - 7, 2014. https://doi.org/10.1155/2014/840891