This paper uses nonlinear differential equations to define the influence of tourist numbers and tourism resources. Then, the characteristics, application mechanism, forming mechanism and component composition of this coupling relationship are discussed in depth. Then the equilibrium state model is established from the perspective of the nonlinear differential equation. This paper compares each factor to get the degree of cooperation. The degree of collaboration of elements determines the internal development of the system. The interaction between tourists and the carrying capacity of the scenic spot needs to be optimized. This allows you to visualize the mechanics and processes of the model. The sustainable development of the ecosystem requires a more significant proportion of its ecological and human restoration than external pollution. The growth rate of tourists must be maintained at a relatively low level.