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时滞非自治的捕食者一食饵系统的持续性和全局稳定性

Keywords: 捕食者-食饵,李雅普诺夫方法,数学模型,时滞,负反馈

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Abstract:

为了研究一类没有即时负反馈控制的3种群捕食者-食饵系统的持续性和全局稳定性;在给定的条件下,利用不等式知识,证明了系统的一致持续性.并通过构造lyapunov函数,导出了该系统全局稳定性的充分条件.在Lotka-Volterra模型中,考虑了3个种群——y_1,y_2,y_3;在这里y_2,y_3是捕食者;y_1,y_2是食饵;其中y_2在捕食y_1的同时又被y_3捕食;y_3既捕食y_1,又捕食y_2.

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