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A NONLINEAR POPULATION EVOLUTION SYSTEM 被引量:1

A NONLINEAR POPULATION EVOLUTION SYSTEM
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摘要 A nonlinear age-dependent population model,which allows for consideration of theeffects of crowding and resource limitation,is presented.The basic properties of solution,such asexistence,positivity,uniqueness,and ultimate behavior,are discussed.Also,the condition of stabilityand controll-ability of the nonlinear population system is obtained. A nonlinear age-dependent population model,which allows for consideration of theeffects of crowding and resource limitation,is presented.The basic properties of solution,such asexistence,positivity,uniqueness,and ultimate behavior,are discussed.Also,the condition of stabilityand controll-ability of the nonlinear population system is obtained.
出处 《Systems Science and Mathematical Sciences》 SCIE EI CSCD 1990年第3期200-230,共31页
关键词 SEMIGROUP EXISTENCE of SOLUTION STABILITY semigroup existence of solution stability
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  • 1祁传达,俞迎达,武津刚,朱广田.具有年龄结构的种群模型平衡解的稳定性[J].生物数学学报,1997,12(S1):403-410. 被引量:3
  • 2黄厚本,林有浩,冯德兴.非线性种群增长方程的半群解[J].数学物理学报(A辑),1989,9(1):59-65. 被引量:2
  • 3[3]Webb, G. F. A Semigroup Proof of the Sharpe- Lotka Theorem[ A]. The International Conference on Operator Semigroup and Applications[C]. Austria, 1983. 254~268.
  • 4[5]Chen Renzhao, Gao Hang. Lyapunov's Stability of Time - varying Population Systems[J].Science in China (Series A),1990,33(8) :909~919.
  • 5[7]Webb, G. F. Theory of Nonlinear Age- dependent Population Dynamics [ M]. New YorK: Marcel Dekker, 1985.
  • 6[12]Yosida, K. Functional Analysis (6th Edition)[M]. Springer-Verlag. Beijing: World Publishing Corporation, 1993.
  • 7[13]Harbin, G. The Tragedy of the Commons[J ]. Science 162. 1968,1243~1247.
  • 8高海音 王克.Gompertz系统的捕获问题[J].生物数学学报,1998,13(5):791-793.

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