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 plantpollinator 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 in [1] and [2].
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references
HAN R,XIE X,CHEN F.Permanence and global attractivity of a discrete pollination mutualism in plant-pollinator system with feedback controls[J].Advances in Difference Equations,2016,199:1-17.
WANG Y,WU H,SUN S.Persistence of pollination mutualisms in plant-pollination-robber systems[J].Theor Popul Biol,2012,81:243-250.
WANG Y,DEANGELIS L D,HOLLAND N J.Dynamics of an ant-plant-pollinator model[J].Commun Nonlinear Sci Numer Simulat,2015,20:950-964.
FISHMAN M A,HADANY L.Plant-pollinator population dynamics[J].Theor popul Biol,2010,78:270-277.
艾合麦提.麦麦提阿吉.含时滞和比例依赖的Lotka-Volterra合作系统的动力学行为研究[J].数学的实践与认识,2019,49(22):316-320.MUHAMMADHAJI A.Dynamics of a ratio-dependent Lotka-Volterra cooperative system with delays[J].Journal of Mathematics in Practice and Theory,2019,49(22):316-320.(in Chinese)
艾合麦提.麦麦提阿吉.具有离散时滞和反馈控制的L otka-Volterra合作系统的动力学行为研究[J].数学的实践与认识,2018,48(5):276-285.MUHAMMADHAJI A.Dynamics of a periodic Lotka-Volterra cooperative system with delays and feedback controls[J].Journal of Mathematics in Practice and Theory,2018,48(5):276-285.(in Chinese)
艾合麦提.麦麦提阿吉.含时滞非线性扩散合作系统的正周期解存在性与全局吸引性[J].新疆大学学报(自然科学版),2019,36(1):1-10.MUHAMMADHAJI A.On the existence and global attractivity of positive perioic solution for a cooperative system with nonlinear diffusion and delays[J].J Xinjiang Univ(Natural Sci Ed),2019,36(1):1-10.(in Chinese)