建立了一个考虑森林砍伐和竹子开花影响的"林木、主食竹和大熊猫"三位一体的非线性动力学模型,利用Mawhin重合度定理证明了在一定的条件下模型存在一个周期解,获得了一个大熊猫种群持续生存的阈值.
In this paper, a "forest-bamboo-giant panda" nonlinear dynamic model is established under the consideration of the influence of deforestation and bamboo flowering. Using Mawhin coincidence degree theorem , the existence of a periodic solution of model is proved in some conditions, and a threshold value is thus obtained for a giant panda population persistence.