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Positive periodic solution for a nonautonomous periodic model of population with time delays and impulses 被引量：1

Positive periodic solution for a nonautonomous periodic model of population with time delays and impulses
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摘要 In this paper, a nonautonomous periodic model of population with time delays and impulses, which arises in order to describe the control of a single population of cells, is studied. By the coincidence degree theory we obtain the conditions for the existence of periodic solution of this system. In this paper, a nonautonomous periodic model of population with time delays and impulses, which arises in order to describe the control of a single population of cells, is studied. By the coincidence degree theory we obtain the conditions for the existence of periodic solution of this system.
作者 ZHOU Gang SHI Bao GAI Ming-jiu ZHANG De-cun Institute of Systems Science and Mathematics, Naval Aeronautical and Astronautical University, Yantai264001, China
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2010年第1期18-24,共7页 高校应用数学学报（英文版）（B辑）
关键词 Positive periodic solution IMPULSE coincidence degree time delay. Positive periodic solution, impulse, coincidence degree, time delay.
分类号 O175 [理学—基础数学]
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参考文献6

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  • 2RE Gaines, J L Mawhin. Coincidence Degree and Nonlinear Differential Equations, Springer, 1977.
  • 3X S Liu, G Li, G L Luo. Positive periodic solution for a two-species ratio-dependent predator-prey system with time delay and impulse, J Math Anal Appl, 2007, 325: 7154723.
  • 4V G Nazarenko. Influence of delay on auto-oscillation in cell populations, Biofisika, 1976, 21: 352-356.
  • 5S H Saker. Oscillation and stability in nonlinear delay differential equations of population dynamics, Appl Anal, 2002, 81: 787-799.
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  • 2刘艳萍.具有垂直传染非自治SIR传染病模型的持久性和灭绝性[J].新疆大学学报（自然科学版）,2005,22(3):263-269. 被引量：3
  • 3H Gerd, R Ray. Non-Autonomous SEIRS and Thron Models for Epidemiology and Cell Biology[ J]. Nonlinear Analysis, 2004, 5 (1):33-44.
  • 4ZHANG Tailei, TENG Zhidong. On a Non-Autonomous SEIRS Model in Epidemiology [ J ]. Bulletin of Mathematical Biology, 2007, 69(8) : 2537 -2559.
  • 5F A B Coutinho, M N Burattini, L F Lopez. Threshold Conditions for a Non-Autonomous Epidemic System Describing the Population Dynamics of Dengue[J]. Bulletin of Mathematical Biology, 2006, 68 (8) : 2263 - 2282.
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  • 7ZHANG Tailei, LIU Junli. Dynamic Behavior for a Non-autono- mous SIRS Epidemic Model with Distributed Delays [ J ]. Applied Mathematics and Computation, 2009, 214( 2 ): 624- 632.
  • 8ZHANG Tailei, LIU Junli, TENG Zhidong. A Non-autonomous Epidemic Model with Time Delay and Vaccination [ J ]. Mathe- matical Methods in the Applied Sciences, 2010, 33 ( 1 ) : 1 - 11.
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  • 10BAI Zhengguo, ZHOU Yicang. Existence of Two Periodic Solu- tions for a Non-Autonomous SIR Epidemic Model [ J ]. Applied Mathematical Modeling, 2011, 35 ( 1 ) : 382 - 391.

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Applied Mathematics(A Journal of Chinese Universities)
2010年 第1期

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