With the help of a continuation theorem based on Gaines and Mawhin＇s coincidence degree, several verifiable criteria are established for the global existence of positive periodic solutions of a class of non-autonomou...With the help of a continuation theorem based on Gaines and Mawhin＇s coincidence degree, several verifiable criteria are established for the global existence of positive periodic solutions of a class of non-autonomous single species population model with delays （both state-dependent delays and continuous delays） and feedback control. After that, by constructing a suitable Lyapunov functional, sufficient conditions which guarantee the existence of a unique globally asymptotic stable positive periodic solution of a kind of nonlinear feedback control ecosystem are obtained. Our results extend and improve the existing results, and have further applications in population dynamics.展开更多
A stage-structured single species model with diffusion is constructed and is considered, in which the coefficients are time dependent. It is shown that under some appropriate assumptions, the system is persistent. Cri...A stage-structured single species model with diffusion is constructed and is considered, in which the coefficients are time dependent. It is shown that under some appropriate assumptions, the system is persistent. Criteria for the existence and uniqueness of the periodic and almost periodic positive solutions are also given. Further, the stability of almost periodic solution under the disturbances from the hull are discussed.展开更多
In this paper,a discrete single species system with time delays and feedback control is considered.Sufficient conditions which guarantee the permanence of all positive solutions to this discrete system are obtained.Th...In this paper,a discrete single species system with time delays and feedback control is considered.Sufficient conditions which guarantee the permanence of all positive solutions to this discrete system are obtained.The results show that the feedback control is harmless for the permanence of the species.展开更多
In this paper, we consider a single species non-autonomous system with pure-delay and feedback control. Sufficient conditions of integrable form for the permanence of species are established.
Increasingly serious microbial infections call for the development of new simpler methods for the precise diagnosis and specific inhibition of such pathogens. In this work, a peptide mineralized Au cluster probe was a...Increasingly serious microbial infections call for the development of new simpler methods for the precise diagnosis and specific inhibition of such pathogens. In this work, a peptide mineralized Au cluster probe was applied as a new simplified strategy to both recognize and inhibit a single bacteria species of Staphylococcus aureus(S. aureus) simultaneously. The probes are composed of peptides and Au clusters. Moreover, the peptides specifically target S. aureus cells and the Au clusters provide fluorescent imaging and have an antibacterial effect. These new probes enable the simultaneous specific detection and effective destruction S. aureus cells in situ.展开更多
The rapid development of synthetic biology has conferred almost perfect modification on single cells,and provided methodological support for synthesizing microbial consortia,which have a much wider application potenti...The rapid development of synthetic biology has conferred almost perfect modification on single cells,and provided methodological support for synthesizing microbial consortia,which have a much wider application potential than synthetic single cells.Co-cultivating multiple cell populations with rational strategies based on interacting relationships within natural microbial consortia provides theoretical as well as experimental support for the successful obtaining of synthetic microbial consortia,promoting it into extensive research on both industrial applications in plenty of areas and also better understanding of natural microbial consortia.According to their composition complexity,synthetic microbial consortia are summarized in three aspects in this reviewand are discussed in principles of design and construction,insights and methods for analysis,and applications in energy,healthcare,etc.展开更多
基金supported by the National Natural Science Foundation of China under the Grant(10426010)the Foundation of Science and Technology of Fujian Province for Young Scholars(2004J0002)+3 种基金the Foundation of Fujian Education Bureau(JA04156)the National Natural Science Foundation of China under Grant 60373067the Natural Science Foundation of Jiangsu Province,China under Grants BK2003053Qing-Lan Engineering Project of Jiangsu Province,the Foundation of Southeast University,Nanjing,China under Grant XJ030714
文摘With the help of a continuation theorem based on Gaines and Mawhin＇s coincidence degree, several verifiable criteria are established for the global existence of positive periodic solutions of a class of non-autonomous single species population model with delays （both state-dependent delays and continuous delays） and feedback control. After that, by constructing a suitable Lyapunov functional, sufficient conditions which guarantee the existence of a unique globally asymptotic stable positive periodic solution of a kind of nonlinear feedback control ecosystem are obtained. Our results extend and improve the existing results, and have further applications in population dynamics.
文摘A stage-structured single species model with diffusion is constructed and is considered, in which the coefficients are time dependent. It is shown that under some appropriate assumptions, the system is persistent. Criteria for the existence and uniqueness of the periodic and almost periodic positive solutions are also given. Further, the stability of almost periodic solution under the disturbances from the hull are discussed.
文摘In this paper,a discrete single species system with time delays and feedback control is considered.Sufficient conditions which guarantee the permanence of all positive solutions to this discrete system are obtained.The results show that the feedback control is harmless for the permanence of the species.
基金supported by the National Natural Sciences Foundation of China (11071283)the Sciences Foundation of Shanxi (2009011005-3)the Major Subject Foundation of Shanxi
文摘In this paper, we consider a single species non-autonomous system with pure-delay and feedback control. Sufficient conditions of integrable form for the permanence of species are established.
基金supported by the National Natural Science Foundation of China(21727817,21390414,21425522,51571185)Beijing Science and Technology Commission Special Project for Frontier Technology in Life Sciences(Z171100000417008)
文摘Increasingly serious microbial infections call for the development of new simpler methods for the precise diagnosis and specific inhibition of such pathogens. In this work, a peptide mineralized Au cluster probe was applied as a new simplified strategy to both recognize and inhibit a single bacteria species of Staphylococcus aureus(S. aureus) simultaneously. The probes are composed of peptides and Au clusters. Moreover, the peptides specifically target S. aureus cells and the Au clusters provide fluorescent imaging and have an antibacterial effect. These new probes enable the simultaneous specific detection and effective destruction S. aureus cells in situ.
基金the National Basic Research Program of China(“973”Program:2014CB745100)the National Natural Science Foundation of China(No.21576197)Tianjin Research Program of Application Foundation and Advanced Technology(No.14JCQNJC06700).
文摘The rapid development of synthetic biology has conferred almost perfect modification on single cells,and provided methodological support for synthesizing microbial consortia,which have a much wider application potential than synthetic single cells.Co-cultivating multiple cell populations with rational strategies based on interacting relationships within natural microbial consortia provides theoretical as well as experimental support for the successful obtaining of synthetic microbial consortia,promoting it into extensive research on both industrial applications in plenty of areas and also better understanding of natural microbial consortia.According to their composition complexity,synthetic microbial consortia are summarized in three aspects in this reviewand are discussed in principles of design and construction,insights and methods for analysis,and applications in energy,healthcare,etc.
