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| OSCILLATION AND GLOBAL ATTRACTIVITY OF IMPULSIVE PERIODIC DELAY RESPIRATORY DYNAMICS MODEL |
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Citation： |
S. H. SAKER.OSCILLATION AND GLOBAL ATTRACTIVITY OF IMPULSIVE PERIODIC DELAY RESPIRATORY DYNAMICS MODEL[J].Chinese Annals of Mathematics B,2005,26(4):511~522 |
| Page view： 1244
Net amount： 812 |
Authors： |
S. H. SAKER; |
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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 CO$_{2}$ 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. |
Keywords： |
Periodic solutions, Oscillation, Global attractivity, Respiratory dynamics model, Impulsive differential equation |
Classification： |
34K13, 34K11, 92D25, 34K45 |
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