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| 1 | The spreading frontiers of avian-human influenza described by the free boundary显示文摘In this paper,a reaction-diffusion system is proposed to investigate avian-human influenza.Two free boundaries are introduced to describe the spreading frontiers of the avian influenza.The basic reproduction numbers rF0(t)and RF0(t)are defined for the bird with the avian influenza and for the human with the mutant avian influenza of the free boundary problem,respectively.Properties of these two time-dependent basic reproduction numbers are obtained.Sufficient conditions both for spreading and for vanishing of the avian influenza are given.It is shown that if rF0(0)<1 and the initial number of the infected birds is small,the avian influenza vanishes in the bird world.Furthermore,if rF0(0)<1 and RF0(0)<1,the avian influenza vanishes in the bird and human worlds.In the case that rF0(0)<1 and RF0(0)>1,spreading of the mutant avian influenza in the human world is possible.It is also shown that if rF0(t0)>1 for any t0>0,the avian influenza spreads in the bird world. | LEI ChengXia KIM KwangIk LIN ZhiGui | 2014 | Science China Mathematics2014，57，5： | 5 |
| 2 | Spreading and vanishing in a West Nile virus model with expanding fronts显示文摘We study a simplified version of a West Nile virus(WNv) model discussed by Lewis et al.(2006),which was considered as a first approximation for the spatial spread of WNv. The basic reproduction number R_0 for the non-spatial epidemic model is defined and a threshold parameter R_0~D for the corresponding problem with null Dirichlet boundary condition is introduced. We consider a free boundary problem with a coupled system, which describes the diffusion of birds by a PDE and the movement of mosquitoes by an ODE. The risk index R_0~F(t) associated with the disease in spatial setting is represented. Sufficient conditions for the WNv to eradicate or to spread are given. The asymptotic behavior of the solution to the system when the spreading occurs is considered. It is shown that the initial number of infected populations, the diffusion rate of birds and the length of initial habitat exhibit important impacts on the vanishing or spreading of the virus. Numerical simulations are presented to illustrate the analytical results. | TARBOUSH Abdelrazig K. LIN ZhiGui ZHANG MengYun | 2017 | Science China Mathematics2017，60，5： | 4 |
| 3 | Genome architecture and tetrasomic inheritance of autotetraploid potato显示文摘Potato(Solanum tuberosum)is the most consumed non-cereal food crop.Most commercial potato cultivars are autotetraploids with highly heterozygous genomes,severely hampering genetic analyses and improvement.By leveraging the state-of-the-art sequencing technologies and polyploid graph binning,we achieved a chromosome-scale,haplotype-resolved genome assembly of a cultivated potato,Cooperation-88(C88).lntra-haplotype comparative analyses revealed extensive sequence and expression differences in this tetraploid genome.We identified haplotype-specific pericentromeres on chromosomes,suggesting a distinct evolutionary trajectory of potato homologous centromeres.Furthermore,we detected double reduction events that are unevenly distributed on haplotypes in 1021 of 1034 selfing progeny,a feature of autopolyploid inheritance.By distinguishing maternal and paternal haplotype sets in C88,we simulated the origin of heterosis in cultivated tetraploid with a survey of 3110 tetra-allelic loci with deleterious mutations,which were masked in the heterozygous condition bytwo parents.This study provides insights into the genomic architecture of autopolyploids and will guide their breeding. | Zhigui Bao Canhui Li Guangcun Li Pei Wang Zhen Peng Lin Cheng Hongbo Li Zhiyang Zhang Yuying Li Wu Huang Mingwang Ye Daofeng Dong Zhukuan Cheng Peter VanderZaag Evert Jacobsen Christian W.B.Bachem Suomeng Dong Chunzhi Zhang Sanwen Huang Qian Zhou | 2022 | Molecular Plant2022，15，7： | 4 |
| 4 | The Blow-up Rate for a System of Heat Equations with Neumann Boundary Conditions | Zhigui Lin Department of Mathematics,Yangzhou University,Yangzhou 225002,P.R.China E-mail:zglin68@hotmail.comChunhong Xie Department of Mathematics,Nanjing University,Nanjing 210093,P.R. China E-mail:algebra@nju.edu.cn | 1999 | Acta Mathematica Sinica,English Series1999，15，4： | 3 |
| 5 | Blowup behaviors for diffusion system coupled through nonlinear boundary conditions in a half space显示文摘This paper deals with the blowup estimates near the blowup time for the system of heat equations in a half space coupled through nonlinear boundary conditions. The upper and lower bounds of blowup rate are established. The uniqueness and nonuniqueness results for the system with vanishing initial value are given. | LIN Zhigui | 2004 | Science China Mathematics2004，47，1： | 3 |
| 6 | Global fast and slow solutions of a localized problem with free boundary显示文摘In this paper,we consider a localized problem with free boundary for the heat equation in higher space dimensions and heterogeneous environment.For simplicity,we assume that the environment and solution are radially symmetric.First,by using the contraction mapping theorem,we prove that the local solution exists and is unique.Then,some sufficient conditions are given under which the solution will blow up in finite time.Our results indicate that the blowup occurs if the initial data are sufficiently large.Finally,the long time behavior of the global solution is discussed.It is shown that the global fast solution does exist if the initial data are sufficiently small,while the global slow solution is possible if the initial data are suitably large. | ZHOU Peng LIN ZhiGui | 2012 | Science China Mathematics2012，55，9： | 3 |
| 7 | Coexistence in a mutualistic model with cross-diffusion in a heterogeneous environment显示文摘 | Badradeen Adam Zhigui Lin Abdelrazig K. Tarboush | 2018 | International Journal of Biomathematics2018，11，6： | 2 |
| 8 | Stability in a diffusive food-chain model with Michaelis–Menten functional response显示文摘 | Zhigui Lin Michael Pedersen | 2004 | Nonlinear Analysis2004，，3： | 2 |
| 9 | Strategy in a diffusive food-chain model with Michaelis-Menten functional response显示文摘 | Pedersen M | 2004 | Chaos Solitans and Fractals2004，，57： | 1 |
| 10 | Coupled diffusion systems with localized nonlinear reactions显示文摘 | Pedersen M LIN Zhigui | 2001 | Computers and Mathematics with Applications2001，42，： | 1 |
| 11 | Asymptotic periodicity in a diffusive West Nile virus model in a heterogeneous environment显示文摘 | Abdelrazig K. Tarboush Jing Ge Zhigui Lin | 2017 | International Journal of Biomathematics2017，10，8： | 1 |
| 12 | Blowup in a three-species cooperating model显示文摘 | Kim Kwang Ik Lin Zhigui | 2004 | Appl Math Lett2004，17，1： | 1 |
| 13 | Coexsistence of three species in a strongly coupled elliptic system显示文摘 | Kim K I Lin Zhigui | 2003 | Nonlinear Anal2003，55，3： | 1 |
| 14 | Energyefficient Routing Protocol on Mobile Sink in Wireless Sensor Network显示文摘 | Lin Zhigui Zhang Huiqi Wang Xuyang | 2013 | Advanced Materials Research2013，787，： | 1 |
| 15 | Stable in-circuit programming of flash memory in freescale's MC9S12 MCU family显示文摘 | WANG Yihuai LIN Zhigui | 2010 | Measuring Technology and Mechatronics Automation2010，，3： | 1 |
| 16 | Spreading vanishing dichotomy in the diffusive logistic model with a free boundary 显示文摘 | DU Yihong LIN Zhigui | 2010 | SIAM J Math Anal2010，42，1： | 1 |
| 17 | Coupled diffusion systems with localized nonlinear reactions显示文摘 | M.PEDERSEN Zhigui LIN | | 0，，6： | 1 |
| 18 | The free boundary problem describing information diffusion in on line social networks 显示文摘 | LEI Chengxia LIN Zhigui WANG Haiyan | 2013 | J Diff Eqs2013，254，13： | 1 |
| 19 | Stability in a diffusive food-chain model with Michaelis-Menten functional response显示文摘 | Zhigui Lin Michael Pedersen | 2004 | Nonlinear Analysis2004，57，： | 1 |
| 20 | Avian-human influenza epidemic model with diffusion 显示文摘 | KIM K I LIN Zhigui ZHANG Lai | 2010 | Nonlinear Anal: Real World Appl2010，11，1： | 1 |
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