【摘要】 目的研究一类具有齐次Dirichlet边界条件的抛物系统的全局吸引子及其对应的平衡态系统的拟解,该问题产生于生态学中三物种捕食-食饵模型。方法采用上下解的方法、单调迭代法、比较原理、极值原理以及特征值理论进行了研究。结果得到了这类捕食-食饵模型平衡态系统的拟解。结论对任意非平凡非负初值,上述三物种模型具有全局吸引子。更多还原

【Abstract】 Aim Quasisolutions and global attractor of the steady-state system were investigated for a class of semi-linear parabolic system with homogeneous Dirichlet boundary conditions,which arises in an ecological problem of two-predator and one-prey model.Methods The upper-lower solutions,monotone derivative methods,the maximum principle,comparison principle and principal eigenvalue theory were used.Results The quasisolutions of the steady-state system for two-predator-one-prey model were obtained.Conclusion There is a global attractor of the three-species model systems with an arbitrary nontrivial,nonnegative initial value.更多还原