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中文摘要：
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。
英文摘要：
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 ei- genvalue theory were used. Results The quasisolutions of the steady-state system for two-predatorone-prey model were obtained. Conclusion There is a global attractor of the three-species model systems with an arbitrary nontrivial, nonnegative initial value.
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