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Received April 12, 2017; Accepted October 4, 2017; Published November 3, 2017
Abstract. A stage-structured plant-pollinator mutualism model with the Beddington-DeAngelis functional response is introduced and studied. Our results show that the mutual interference concerning pollinator k_2 does not have an impact on the permanence and the extinction of the stage-structured plant-pollinator mutualism. However, when the positive equilibrium is unstable, a sufficient large k_2 can drive the system into a globally stable. Furthermore, some sufficient cases which guarantee the permanence of the system are obtained. The local stability of the system is discussed by the sign of eigenvalue. Finally, we analyze global stability of the system via iterative methods.
How to Cite this Article:
Tingting Li, Fengde Chen, Jinhuang Chen, Qiaoxia Lin, Stability of a stage-structured plant-pollinator mutualism model with the Beddington-DeAngelis functional response, Journal of Nonlinear Functional Analysis, Vol. 2017 (2017), Article ID 50, pp. 1-18.