| EXISTENCE AND GLOBAL ATTRACTIVITY OF POSITIVE PERIODIC SOLUTION OF A LOGISTIC GROWTH SYSTEM WITH FEEDBACK CONTROL AND DEVIATING ARGUMENTS |
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| 作者姓名： | 杨帆 蒋达清 |
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| 作者单位： | Yang Fan (Dept. of Math.，Tonghua Teachers' College，Tonghua 134002) Jiang Daqing (Dept. of Math.，Northeast Normal University，Changchun 130024) |
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| 摘 要： | 1 IntroductionIn recent years5 the application of theories of functional differential equationsin mathematical ecology has been developed rapidIy. Various mathematicalmodels have been proposed in the study of population dynarnics, ecology andepidemic. Some of them are described as non-autonomous delay differentialequations. Many authors studied the dynamics of population with deIays whichis usefuI for the control of the population of the mankind, animals and theenvironment. One of the famous…
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EXISTENCE AND GLOBAL ATTRACTIVITY OF POSITIVE PERIODIC SOLUTION OF A LOGISTIC GROWTH SYSTEM WITH FEEDBACK CONTROL AND DEVIATING ARGUMENTS |
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| Yang Fan.EXISTENCE AND GLOBAL ATTRACTIVITY OF POSITIVE PERIODIC SOLUTION OF A LOGISTIC GROWTH SYSTEM WITH FEEDBACK CONTROL AND DEVIATING ARGUMENTS[J].微分方程年刊(英文版),2001(4). |
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| Authors: | Yang Fan |
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| Abstract: | In this paper, we study the existence and global attractivity of positive peri- odic solutions of a Logistic growth system with feedback control and deviating arguments. A sufficient condition is derived for the existence of a unique peri- odic solution with strictly positive components which is globally asymptotically stable by using the method of coincidence degree and Liapunov functional. Some new results are obtained. The known results are improved and generalized. |
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| Keywords: | positive periodic solution Logistic growth system feedback con-trol global attractivity coincidence degree |
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