【摘要】 为从理论上研究"森林—竹子—大熊猫"三位一体的保护栖息地理念,考虑了竹子开花的影响,把竹子和森林分成两个阶段,建立了一个描述"森林—竹子—大熊猫"的非线性动力系统。利用Mawhin重合度理论可以证明此系统存在一个周期解,利用计算机数值模拟画出了此动力系统的周期解随时间的变化规律和相图。数值模拟显示脉冲的影响非常复杂,进一步研究还发现此模型存在一种新的混沌奇怪吸引子。讨论了得到的周期解和混沌奇怪吸引子的这些理论成果的生态意义。通过严谨的数学论证过程,证明了大熊猫栖息地的大熊猫、森林、主食竹是一个稳定的平衡系统这一结论,对大熊猫栖息地及其他类似濒危物种栖息地保护具有一定的指导意义。更多还原

【Abstract】 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.更多还原