**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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