Periodic solutions and chaos strange attractors of nonlinear dynamic system on “forestbamboogiant panda”

In order to study the trinity of habitat protection of “forestbamboogiant panda” theoretically, taking into account the effects of bamboo flowering, the bamboo and forest were divided into two stage structures, and a nonlinear dynamic model was established to describe the system “forestbamboogiant panda”. The existence of periodic solutions of the dynamic model can be proved by the Mawhin coincidence degree. Using numerical simulations, the periodic solutions and phase diagrams of the dynamic system were given. Results show that the impact of the pulse is very complex. Furthermore, a new chaotic strange attractor of this model is found，and the ecological significance of these results means that the system including giant panda, forests and staple food bamboo is stable, which will promote the protection of giant panda habitat and other similar endangered species.