×

Permanence of a non-autonomous periodic plant-pollinator system with pollination mutualism. (Chinese. English summary) Zbl 1463.34198

Summary: This paper studies a class of non-autonomous periodic plant-pollinator system with pollination mutualism. By means of the comparison method and employing useful inequality techniques, some sufficient conditions on the permanence and periodic solution of the system are established. Compared with previous related research results, hitherto, research on the pollination mutualism of non-autonomous periodic plant-pollinator system, there is no theoretical result published. Therefore, in this paper, we first propose the non-autonomous periodic plant- pollinator system with pollination mutualism, and study the permanence and existence of positive periodic solution of the system. Thus, the model and the obtained results in this paper can be seen as the extension and supplement of the previously known works.

MSC:

34C60 Qualitative investigation and simulation of ordinary differential equation models
34C25 Periodic solutions to ordinary differential equations
34D20 Stability of solutions to ordinary differential equations
92C80 Plant biology
37C60 Nonautonomous smooth dynamical systems
34D05 Asymptotic properties of solutions to ordinary differential equations
PDFBibTeX XMLCite
Full Text: DOI