Taishan Yi,Professor

E-mail:yitaishan@163.com

Dept. ofMathematics and Statistics, Central South University, Changsha, Hunan 410083, China 

Education

Degree University Year Area

Ph.D. Hunan University 2004 Applied Math. 

B.Sc. Hunan University 1999 Applied Math. 

EmploymentRecord

1.Professorand doctoral advisor, Central South University, 2012-- Present 

2.Professor,Hunan University, 2009—2012 

3.AssociateProfessor, Hunan University, 2006— 2009 

4.AssistantProfessor, Hunan University, 2005— 2006 

ResearchInterests

•Dynamical system 

•Functional differential equation 

•Reaction-diffusion equation 

SelectedPublications

1.Dirichlet Problem of a Delayed Reaction– Diffusion Equationon a Semi-infinite Interval, (with X.Zou),J. Dynam.Differential Equations, 2015.

2.Asymptoticbehavior, spreading speeds and traveling waves of non-monotone dynamicalsystems, (with X.Zou),SIAM J. Math.

Anal.2015:47,3005–3034.

3.On thebasins of attraction for a class of delay differential equations withnon-monotone bistable nonlinearities.(with C.Huang, Z.Yang, X.zou)J. Differential Equations, 2014: 256,2101–2114.

4.On Dirichlet problem for a class of delayed reaction-diffusionequations with spatial non-locality, Journal of Dynamics and DifferentialEquations,(with X.Zou),2013:25,959–979. 

5.Unimodal dynamical systems: comparison principles, spreadingspeeds and travelling waves, (with Y.Chen,J.Wu),J. Differential Equations,2013:254, 3538-3572. 

6.Global dynamics of delayed reaction-diffusion equations inunbounded domains. (with Y.Chen,J.Wu),Z. Angew. Math. Phys. 2012:63, 793-812. 

7.Global dynamics of a delay differential equation with spatial non-localityin an unbounded domain, (with X.Zou), J. Differential Equations,2011: 251,2598-2611. 

8.Map dynamics versus dynamics of associated delay reaction- diffusionequations with a Neumann condition, (with X.Zou),Proc. R. Soc. Lond. Ser. A Math. Phys.Eng. Sci.2010:466,2955–2973

9.Periodic solutions and the global attractor in a system of delaydifferential equations, (with Y.Chen,J.Wu),SIAM J. Math. Anal.2010:42, 24–63.

10.Thresholddynamics of a delayed reaction diffusion equation subject to the Dirichletcondition, (with Y.Chen,J.Wu),J. Biol. Dyn.2009:3,331–341.

11.Unstablesets, heteroclinic orbits and generic quasi-convergence for essentiallystrongly order-preserving semiflows, (with Q.Li),Proc. Edinb. Math. Soc. (2),2009:52,797–807.

12.Genericquasi-convergence for essentially strongly order-preserving semiflows, (withX.Zou),Canad. Math. Bull.2009:52,315–320

13.TaishanYi, Bingwen Liu, Qingguo Li, Convergence for essentially strongly increasingdiscrete time semi-flows, (with B.Liu,Q.Li),Rocky Mountain J. Math.2009:39,1013–1034.

14.Newgeneric quasi-convergence principles with applications, (with X.Zou),J. Math. Anal. Appl.2009:353,178–185.

15.Globalattractivity of the diffusive Nicholson blowflies equation with Neumannboundary condition: a non-monotone case, (with X.Zou),J. Differential Equations,2008:245, 3376–3388.

16.Ageneralization of the Haddock conjecture and its proof,Nonlinear Anal. Real World Appl.,2009:9,1112–1118.

17.Dynamicsof smooth essentially strongly order-preserving semiflows with application todelay differential equations, (L. Huang),J. Math. Anal. Appl.2008:338, 1329–1339.

18.Convergenceof a class of discrete-time semiflows with application to neutral delaydifferential equations, (with G.Gu),Nonlinear Anal.2008:68,1148–1154.

19.Convergence and stability for essentially stronglyorder-preserving semiflows,(with L.Huang) Journal of Differential Equations,2006:221: 36-57. 

20.Convergence for pseudo monotone semiflows on product orderedtopological spaces, (with L.Huang),Journal of Differential Equations, 2005:214: 429-456. 

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