期刊文献+

Global Stability of a Predator-Prey System with Stage Structure for the Predator 被引量:25

Global Stability of a Predator-Prey System with Stage Structure for the Predator
原文传递
导出
摘要 In this paper, some feasibly suffcient conditions are obtained for the global asymptotic stability of a positive steady state of a predator-prey system with stage structure for the predator by using the theory of competitive systems, compound matrices and stability of periodic orbits, and then the work of Wang [4] is improved. In this paper, some feasibly suffcient conditions are obtained for the global asymptotic stability of a positive steady state of a predator-prey system with stage structure for the predator by using the theory of competitive systems, compound matrices and stability of periodic orbits, and then the work of Wang [4] is improved.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2004年第1期63-70,共8页 数学学报(英文版)
基金 supported by National Natural Science Foundation of China
关键词 Global stability Predator-prey system Competitive systems Stage structure Global stability Predator-prey system Competitive systems Stage structure
  • 相关文献

参考文献11

  • 1Bence, J. R., Nisbet, R. M.: Space limited recruitment in open systems: The importance of time delays,Ecology, 70, 1434 1441 (1989).
  • 2Aiello, W. G., Freedman, H. I.: A time delay model of single species growth with stage structure. Math.Biosci, 101, 139-156 (1990).
  • 3Wang, W., Chen, L.: A predator-prey system with stage-structure for predator. Computers Math. Applic.,33(8), 83-91 (1997).
  • 4Wang, W.: Global'dynamics of a population model with stage structure for predator, in: L. Chen et al (Eds), Advanced topics in Biomathematics, Proceeding of tile international conference on mathematical biology, World Scientific Publishing Co. Pte. Ltd., 253 257 (1997).
  • 5Magnusson, K. G.: Destabilizing effect of cannibalism on a structured predator-prey system. Math. Biosci,155, 61-75 (1999).
  • 6Smith, H. L.: Systems of ordinary differential equations which generate an order preserving flow. SIAM Rev., 30, 87-98 (1988).
  • 7Hirsh, M. W.: Systems of differential equations which are competitive or cooperative,Ⅳ: structural stabilities in three dimensional systems, SIAM J. Math. Anal., 21, 1225-1234 (1990).
  • 8Verhulst, F.: Nonlinear differential equations and dynamical systems, Springer. Berlin (1990).
  • 9Hale, J. K.: Ordinary differential equations, Wiley, New York (1969).
  • 10Li, Y., Muldowney, J. S.: Global stability for the SEIR model in epidemiology. Math. Biosci, 125, 155-164(1995).

同被引文献41

引证文献25

二级引证文献44

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部