Abstract
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.
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Arditi, R., Ginzburg, L.R. Coupling in predator-prey dynamics:ratio-dependence. J. Ther. Biol., 139:311–326 (1989)
Berryman, A.A. The origins and evolution of predator-prey theory. Ecology, 75:1530–1535 (1992)
Fan, 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)
Gaines, R.E., Mawhin, J.L. Coincidence degree and non-linear differential equations. Springer-Verlag, Berlin, 1977
Ma, Z. Mathematical modeling and studying on species ecology. Education Press, Hefei, 1996 (in Chinese)
Zhang, Z., Zeng, X. A periodic stage-structure Model. App. Math. Letters, 16:1053–1061 (2003)
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Supported by the National Natural Science Foundation of China (No.19531070)
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Tian, Ds., Zeng, Xw. Existence of at Least Two Periodic Solutions of a Ratiodependent Predator-prey Model with Exploited Term. Acta Mathematicae Applicatae Sinica, English Series 21, 489–494 (2005). https://doi.org/10.1007/s10255-005-0256-5
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DOI: https://doi.org/10.1007/s10255-005-0256-5