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中文摘要：
针对一类具有延迟作用的种群生态模型，首先采用数值模拟方法给出了Lyapunov指数随时间变化的图形，简单直观地验证了该种群生态模型存在混沌现象．其次采取改进的直线稳定化方法控制模型所存在的混沌现象，设计并求得了使得生物种群稳定到不动点轨道的控制器，最终消除了种群中存在的混沌现象，从而保持了种群系统的持续生存．最后通过仿真验证了控制器的有效性．
英文摘要：
To a class of delayed population ecological models, the presence of chaotic phenomena in those models are validated simply and visually by numerical simulation to give the timedependent graphs of Lyapunov exponents. Then, introducing the improved straight-line stabilization method to control the chaotic phenomena in the models, a controller is designed to stabilize the biological population in the oribits where the fixed points lie on, thus eliminating the chaotic phenomena in population to keep the population system in persistent existence. The validity of the controller is confirmed by simulation results.
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