Permanence and global attractivity of a discrete pollination mutualism in plant-pollinator system with feedback controls
| Autor: | Rongyu Han, Xiangdong Xie, Fengde Chen |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Lyapunov function
Mutualism (biology) Comparison theorem Algebra and Number Theory Partial differential equation Pollination Differential equation Applied Mathematics 010102 general mathematics 01 natural sciences 010101 applied mathematics symbols.namesake Pollinator Control theory Ordinary differential equation symbols Quantitative Biology::Populations and Evolution 0101 mathematics Analysis Mathematics |
| Zdroj: | Advances in Difference Equations. 2016 |
| ISSN: | 1687-1847 |
| DOI: | 10.1186/s13662-016-0889-0 |
| Popis: | In this paper, we propose a discrete pollination mutualism in a plant-pollinator system with the Beddington-DeAngelis functional response and feedback controls. By applying the comparison theorem of a difference equation and constructing some suitable Lyapunov functions, sufficient conditions are obtained for the permanence and the extinction of the system. Moreover, under some suitable conditions, we show that the solution of the system is globally attractive. The paper ends by some numerical simulations and a brief discussion. |
| Databáze: | OpenAIRE |
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