| OSCILLATION AND GLOBAL ATTRACTIVITY OF IMPULSIVE PERIODIC DELAY RESPIRATORY DYNAMICS MODEL |
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| 引用本文： | S. H. SAKER. OSCILLATION AND GLOBAL ATTRACTIVITY OF IMPULSIVE PERIODIC DELAY RESPIRATORY DYNAMICS MODEL[J]. 数学年刊B辑(英文版), 2005, 26(4): 511-522 |
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| 作者姓名： | S. H. SAKER |
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| 作者单位： | Department of |
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| 摘 要： | This paper studies the nonlinear delay impulsive respiratory dynamics model. The model describes the sudden changes of the concentration of CO2 in the blood of the mammal. It is proved that the model has a unique positive periodic solution. Some sufficient conditions for oscillation of all positive solutions about the positive periodic solution are established and also some sufficient conditions for the global attractivity of the periodic solution are obtained.
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| 关 键 词： | 振动方程 周期解 正解 脉冲动态模型 微分方程 |
| 收稿时间： | 2020-09-04 |
OSCILLATION AND GLOBAL ATTRACTIVITY OF IMPULSIVE PERIODIC DELAY RESPIRATORY DYNAMICS MODEL |
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| S. H. SAKER. OSCILLATION AND GLOBAL ATTRACTIVITY OF IMPULSIVE PERIODIC DELAY RESPIRATORY DYNAMICS MODEL[J]. Chinese Annals of Mathematics,Series B, 2005, 26(4): 511-522 |
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| Authors: | S. H. SAKER |
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| Affiliation: | Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt. |
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| Abstract: | This paper studies the nonlinear delay impulsive respiratory dynamics model. The model describes the sudden changes of the concentration of CO2 in the blood of the mammal. It is proved that the model has a unique positive periodic solution. Some sufficient conditions for oscillation of all positive solutions about the positive periodic solution are established and also some sufficient conditions for the global attractivity of the periodic solution are obtained. |
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| Keywords: | Periodic solutions Oscillation Global attractivity Respiratory dynamics model Impulsive differential equation |
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