Some new results for a logistic almost periodic system with infinite delay and discrete delay |
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| Authors: | Xinzhu Meng Lansun Chen Xuelei Wang |
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| Institution: | 1. College of Science, Shandong University of Science and Technology, Qingdao 266510, PR China;2. Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, PR China;3. Institute of Mathematics, Academy of Mathematics and System Sciences, Academia Sinica, Beijing, 100080, PR China;4. Information Science and Engineering College, Shandong Agricultural University, Taian 271018, PR China |
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| Abstract: | A nonautonomous logistic almost periodic system with infinite delay and discrete delay is considered. Our result shows that the system is globally asymptotically stable under the condition for the boundedness of the system. By using almost periodic functional Hull theory and new computational techniques, we show that the almost periodic system has a unique globally asymptotically stable strictly positive almost periodic solution under the condition for the boundedness of the system. Some recent results are improved, and an open question is answered. |
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