Existence and attractivity of a periodic solution for a ratio-dependent Leslie system with feedback controls |
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| Authors: | Qi Wang Zhijie Wang Minmin Ding Hongyan Zhang |
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| Institution: | School of Mathematical Sciences, Anhui University, Hefei, Anhui 230039, PR China |
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| Abstract: | A ratio-dependent Leslie system with feedback controls is studied. By using the comparison and continuation theorems, and based on the coincidence degree and by constructing a suitable Lyapunov function, some sufficient and necessary conditions for the existence and global attractivity of periodic solutions are obtained. One example shows that the obtained criteria are easily verifiable. |
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