In this paper,we investigate the periodic traveling wave solutions problem for a single population model with advection and distributed delay.By the bifurcation analysis method,we can obtain periodic traveling wave so...In this paper,we investigate the periodic traveling wave solutions problem for a single population model with advection and distributed delay.By the bifurcation analysis method,we can obtain periodic traveling wave solutions for this model under the influence of advection term and distributed delay.The obtained results indicate that weak kernel and strong kernel can both deduce the existence of periodic traveling wave solutions.Finally,we apply the main results in this paper to Logistic model and Nicholson’s blowflies model.展开更多
In this work, we construct a stage-structured single population system with winter hiber- nation and impulsive effect in polluted environment. All solutions of the investigated system are proved to be uniformly ultima...In this work, we construct a stage-structured single population system with winter hiber- nation and impulsive effect in polluted environment. All solutions of the investigated system are proved to be uniformly ultimately bounded. The conditions of the population- extinction solution of the investigated system are obtained. The permanent condition of the investigated system is also obtained. Finally, numerical analysis is inserted to illustrate the results. Our results indicate that the environmental pollution will reduce biological diversity of the natural world. Our results also provide reliable tactic basis for the practical biological resource management.展开更多
Blue stragglers are a common observational fact for the Galactic clusters. Single Stellar Populations (SSPs) are basic to the studies of galaxy structre and evolution. SSPs are mainly based either on the observation o...Blue stragglers are a common observational fact for the Galactic clusters. Single Stellar Populations (SSPs) are basic to the studies of galaxy structre and evolution. SSPs are mainly based either on the observation of the integrated properties of star clusters, or on the theoretical understandings of single star evolution. Both of the two ways of making SSPs suffer from either observational uncertainties concerning field contaminations or lack of good models for close binary systems. Based on the photometry of the classical open cluster M67 and the thorough membership survey, we made a color-magnitude diagram (CMD) of high membership stars for the cluster. We will show that by including the contributions of the bright blue stragglers that is common to open clusters, the integrated properties of the clusters are quite different from tranditional SSP models. We further conclude that these blue light contributors are very important to SSP models, and may cast new lights on its applications in the studies of galaxies.展开更多
Telomeres are protein--DNA complex structure at the ends of chromosomes, which are involved in genomic stability （Blackburn, 2010）. In most human cells, telomere erosion with each round of cell division eventually l...Telomeres are protein--DNA complex structure at the ends of chromosomes, which are involved in genomic stability （Blackburn, 2010）. In most human cells, telomere erosion with each round of cell division eventually limits cell proliferation and tissue renewal, thereby impacting age-dependent pathol- ogies （Lundblad, 2012）. Leukocyte telomere length （LTL） undertakes a slow loss throughout life across human pop- ulations in general （Blackburn, 2010）. Telomerase is a ribo- nucleoprotein that adds telomeric DNA to chromosomal ends and contains two essential components：展开更多
In this paper we investigate the existence and stability of almost periodic solutions of some single population models with almost periodic environment. We obtain some results about the existence and stability of the ...In this paper we investigate the existence and stability of almost periodic solutions of some single population models with almost periodic environment. We obtain some results about the existence and stability of the positive almost periodic solutions.展开更多
基金Supported by the National Natural Science Foundation of China(12261050)Science and Technology Project of Department of Education of Jiangxi Province(GJJ2201612 and GJJ211027)Natural Science Foundation of Jiangxi Province of China(20212BAB202021)。
文摘In this paper,we investigate the periodic traveling wave solutions problem for a single population model with advection and distributed delay.By the bifurcation analysis method,we can obtain periodic traveling wave solutions for this model under the influence of advection term and distributed delay.The obtained results indicate that weak kernel and strong kernel can both deduce the existence of periodic traveling wave solutions.Finally,we apply the main results in this paper to Logistic model and Nicholson’s blowflies model.
基金Acknowledgments The work of the first author was supported by National Natural Science Foundation of China （No. 11361014） and the project of high level creative talents in Guizhou Province （No. 20164035）. This research was supported by National Natural Science Foundation of China （Nos. 11361014, 10961008）, the Science Technology Foundation of Guizhou Education Department （No. 2008038）, and the Science Technology Foundation of Guizhou （No. 2010J2130）.
文摘In this work, we construct a stage-structured single population system with winter hiber- nation and impulsive effect in polluted environment. All solutions of the investigated system are proved to be uniformly ultimately bounded. The conditions of the population- extinction solution of the investigated system are obtained. The permanent condition of the investigated system is also obtained. Finally, numerical analysis is inserted to illustrate the results. Our results indicate that the environmental pollution will reduce biological diversity of the natural world. Our results also provide reliable tactic basis for the practical biological resource management.
文摘Blue stragglers are a common observational fact for the Galactic clusters. Single Stellar Populations (SSPs) are basic to the studies of galaxy structre and evolution. SSPs are mainly based either on the observation of the integrated properties of star clusters, or on the theoretical understandings of single star evolution. Both of the two ways of making SSPs suffer from either observational uncertainties concerning field contaminations or lack of good models for close binary systems. Based on the photometry of the classical open cluster M67 and the thorough membership survey, we made a color-magnitude diagram (CMD) of high membership stars for the cluster. We will show that by including the contributions of the bright blue stragglers that is common to open clusters, the integrated properties of the clusters are quite different from tranditional SSP models. We further conclude that these blue light contributors are very important to SSP models, and may cast new lights on its applications in the studies of galaxies.
基金supported by the grants from the National Basic Research Program of China(No.2011CB504000)the National Key Technology R&D Program(No.2012BAI01B09)+1 种基金the Wu Jieping Medical Foundation(No.320.67001118)the National Natural Science Foundation of China(No.81121001)
文摘Telomeres are protein--DNA complex structure at the ends of chromosomes, which are involved in genomic stability （Blackburn, 2010）. In most human cells, telomere erosion with each round of cell division eventually limits cell proliferation and tissue renewal, thereby impacting age-dependent pathol- ogies （Lundblad, 2012）. Leukocyte telomere length （LTL） undertakes a slow loss throughout life across human pop- ulations in general （Blackburn, 2010）. Telomerase is a ribo- nucleoprotein that adds telomeric DNA to chromosomal ends and contains two essential components：
文摘In this paper we investigate the existence and stability of almost periodic solutions of some single population models with almost periodic environment. We obtain some results about the existence and stability of the positive almost periodic solutions.
