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Existence of at Least Two Periodic Solutions of a Ratio-dependent Predator-prey Model with Exploited Term 被引量:23

Existence of at Least Two Periodic Solutions of a Ratio-dependent Predator-prey Model with Exploited Term
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摘要 In this paper, we study a non-autonomous ratio-dependent predator-prey model with exploited term. By means of the coincidence degree theory, we establish a sufficient condition for the existence of at least two positive periodic solutions of this model. In this paper, we study a non-autonomous ratio-dependent predator-prey model with exploited term. By means of the coincidence degree theory, we establish a sufficient condition for the existence of at least two positive periodic solutions of this model.
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2005年第3期489-494,共6页 应用数学学报(英文版)
基金 Supported by the National Natural Science Foundation of China (No.19531070)
关键词 Predator-prey model RATIO-DEPENDENT exploited term periodic solution coincidence degree Predator-prey model, ratio-dependent, exploited term, periodic solution, coincidence degree
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  • 1Arditi, R., Ginzburg, L.R. Coupling in predator-prey dynamics: ratio-dependence. J. Ther. Biol., 139:311-326 (1989).
  • 2Berryman, A.A. The origins and evolution of predator-prey theory. Ecology, 75:1530-1535 (1992).
  • 3Fan,M., Wang, Q., Zou,X. Dynamics of a non-autonomous ratio-dependent predator-prey system. Proceedings of the Royal Society of Edinburgh, 133A: 97-118 (2003).
  • 4Gaines, R.E., Mawhin, J.L. Coincidence degree and non-linear differential equations. Springer-Verlag,Berlin, 1977.
  • 5Ma, Z. Mathematical modeling and studying on species ecology. Education Press, Hefei, 1996 (in Chinese).
  • 6Zhang, Z,, Zeng, X. A periodic stage-structure Model. App. Math. Letters, 16:1053-1061 (2003).

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