Table 2.

Four notions of equilibria utilized in this paper

Ecological equilibrium	The populations of sensitive and resistant cancer cells are not changing (${\dot{x}}_S=0$ and ${\dot{x}}_R=0$) given the current resistance level $u_R$ and the current treatment dose m.
Eco-evolutionary equilibrium	The cancer cells are at the ecological equilibrium, and the resistance level of the resistant cells is not changing (${\dot{u}}_R=0$).
(static) Nash equilibrium	The cancer cells are at an eco-evolutionary equilibrium while the treatment dose is at the best response to the current resistance level.
Stackelberg equilibrium	Cancer cells are at an eco-evolutionary equilibrium, and the physician maximizes the objective function knowing the evolutionary response of cancer cells.