廖新元 - 南华大学

个人简介

廖新元，理学博士，教授，硕士生导师，数理学院副院长，南华大学《高等数学》责任教授。美国数学评论《Math.Reviews》评论员。AppliedMath.E-Note；J.Math.ControlScienceAppl.等学术刊物评审员，省科技进步奖及省自然科学基金等的评审专家。在国内外学术刊物上发表科研论文30余篇，其中在国际学术刊物《JournalofComputationalandAppliedMathematics》、《NonlinearAnalysis:RealWorldApplications》等SCI源刊杂志上已发表学术论文近20篇（第一作者）。已与美国、加拿大、意大利和台湾等多位微分方程知名专家建立了良好的国际学术交流和研究合作关系。在时滞微分、差分方程生态模型和神经网络模型解的稳定性,持久性，周期解的存在、扩散系统的行波解的存在性和吸引性等方面已取得了一些较好的成果。2007年至今主持一项省教育厅科研项目；合作申报国家自然科学基金项目一项；主持省自然科学基金项目一项。主持校大学生数学竞赛、数学建模竞赛的培训与组织工作，获得国际数学建模赛一、二等奖多项，全国数学建模竞赛全国一、二等奖，省一、二、三等奖多项；数学竞赛获湖南赛区一、二、三等奖多项。主编了《高等数学》与《医用高等数学》教材。近几年主讲了《高等数学》、《数学分析》、《数学模型》、《常微分方程》、《线性代数》等本科课程及《微分方程定性与稳定性方法》、《应用数学前沿》、《生物数学》等研究生课程的教学。

研究领域

主要从事微分方程动力系统、生物数学、流行病学，数学建模及其应用等方面的研究工作

近期论文

查看导师最新文章（温馨提示：请注意重名现象，建议点开原文通过作者单位确认）

[1]XinyuanLiao,YumingChen，ShengfanZhou,Travelingwavefrontsofaprey-predatordiffusionsystemwithstage-structureandharvesting,J.Comput.Appl.Math.,235(2011),2560-2568. [2]XinyuanLiao,XianhuaTang,ShengfanZhou,Existenceoftravelingwavefrontsinacooperativesystemswithdiscretedelays,AppliedMathematicsandComputation,215(2009),1806-1812. [3]XinyuanLiao,WantongLiandYoussefN.Raffoul,AsymptoticBehaviorofSolutionsofaClassofNonlinearDifferenceSystems,InternationalJournalofDifferenceEquations,5(2010),Number1,12–19. [4]XinyuanLiao,ZigengOuyang,ShengfanZhou,PermanenceofspeciesinnonautonomousdiscreteLotka–Volterracompetitivesystemwithdelaysandfeedbackcontrols,JournalofComputationalandAppliedMathematics,211(2008),1-10. [5]XinyuanLiao,ShengfanZhou,YoussefN.Raffoul,Onthediscrete-timemulti-speciescompetition–predationsystemwithseveraldelays,AppliedMathematicsLetters,21(2008),15-22. [6]XinyuanLiao,ShengfanZhou,YumingChen,Permanenceandglobalstabilityinadiscreten-speciescompetitionsystemwithfeedbackcontrols,NonlinearAnalysis:RealWorldApplications,9(2008),1661-1671. [7]XinyuanLiao,ShengfanZhou,YumingChen，OnpermanenceandglobalstabilityinageneralGilpin-Ayalacompetitionpredator-preydiscretesystem，AppliedMathematicsandComputation,190(2007),500-509. [8]XinyuanLiaoandYoussefN.Raffoul,AsymptoticbehaviorofPositiveSolutionsofSecondOrderNonlinearDifferenceSystems,J.NonlinearStudies,14(2007),311-318. [9]XinyuanLiao,ShengfanZhou,ZigengOuyang,Onastoichiometrictwopredatorsononepreydiscretemodel,AppliedMathematicsLetters,20(2007)272-278. [10]XinyuanLiao,ZigengOuyang,ShengfanZhou,Permanenceandstabilityofequilibriumforatwo-preyone-predatordiscretemodel,AppliedMathematicsandComputation,Volume186(2007),93-100. [11]XinyuanLiao,ShengfanZhou,YumingChen,PermanenceforadiscretetimeLotka–Volterratypefood-chainmodelwithdelays,AppliedMathematicsandComputation,186(2007),279-285. [12]XinyuanLiao,CaidiZhao,ShengfanZhou,Compactuniformattractorfordissipativenon-autonomouslatticedynamicalsystems,Commu.PureandAppliedAnalysis,6(2007),1087-1111. [13]XinyuanLiao,WantongLiandY.N.Raffoul,BoundednessinNonlinearFunctionalDifferenceEquationsviaNon-negativeDefiniteLyapunovFunctionalswithApplicationstoVolterraDiscreteSystems,J.NonlinearStudies,13(2006),1-14. [14]CaidiZhao,ShengfanZhou,XinyuanLiao,Uniformattractorsfornonautonomousincompressiblenon-Newtonianfluidwithlocallyuniformintegrableexternalforces,J.Math.Phys.,47(2006),1-13. [15]FengdeChen,XinyuanLiao,ZhongkaiHuang,ThedynamicbehaviorofN-speciescooperationsystemwithcontinuoustimedelaysandfeedbackcontrols,AppliedMathematicsandComputation,181(2006),803-815. [16]XinyuanLiao,HuiyanZhu,FengdeChen.Onasymptoticstabilityofdelay-differencesystems,AppliedMathematicsandComputation,176(2006)：759-767. [17]XinyuanLiao,ConvergentandDivergentSolutionsofTwo-DimensionalNonlinearDifferenceSystem,Ann.OfDiff.Eqs.21:4(2005),533-540. [18]XinyuanLiao,SuisunCheng,ConvergentandDivergentSolutionsofaDiscreteNonautonomousLotka-VolterraModel,TamkangJournalofMathematics,36(2005),337-344. [19]HuiyanZhu,LihongHuang,XinyuanLiao,Convergenceandperiodicityofsolutionsforaclassofdelaydifferenceequations,Comp.Math.Appl.,48(2004):1477-1484. [20]XinyuanLiao，Existenceofpositiveperiodicsolutionsforgeneraldelayednonautonomousdifferentialequation，PureandAppliedMathematics,19(2004)751-760.