ResearchDirection
My main research interest lies in the qualitative analysis of differential equations and dynamical systems arising in applied areas like spatial ecology and evolution. Some selected papers: 1.Yuan Lou, Xiao-Qiang Zhao, Peng Zhou*, Global dynamics of a Lotka-Volterra competition-diffusion-advection system in heterogeneous environments, J. Math. Pures Appl.,121, 47-82, 2019. 2.Peng Zhou, Dongmei Xiao*, Global dynamics of a classical Lotka-Volterra competition-diffusion-advection system, J. Funct. Anal., 275, 356-380, 2018. 3.Peng Zhou, Xiao-Qiang Zhao*, Evolution of passive movement in advective environments: General boundary conditions, J. Differential Equations, 264, 4176-4198, 2018. 4.Peng Zhou, Xiao-Qiang Zhao*, Global dynamics of a two pecies competition model in open stream environments, J. Dynam. Differential Equations, 30, 613-636, 2018. 5.Peng Zhou, On a Lotka-Volterra competiton system: diffusion vs advection, Calc. Var. Partial Differential Equations, 55, Art. 137, 29pp, 2016. 6.Xiao-Qiang Zhao, Peng Zhou*, On a Lotka-Volterra competition model: the effects of advection and spatial variation, Calc. Var. Partial Differential Equations, 55, Art. 73, 25pp, 2016. 7.Yuan Lou, Dongmei Xiao, Peng Zhou*, Qualitative analysis for a Lotka-Volterra competition system in advective homogeneous environment, Discrete Contin. Dyn. Syst. A, 36, 953-969, 2016. 8.Yuan Lou, Peng Zhou*, Evolution of dispersal in advective homogeneous environments: the effect of boundary conditions, J. Differential Equations, 259, 141-171, 2015. 9.Peng Zhou, Dongmei Xiao*, The diffusive logistic model with a free boundary in heterogeneous environment, J. Differential Equations, 256, 1927-1954, 2014. 10.Peng Zhou, Jiang Yu, Dongmei Xiao*, A nonlinear diffusion problem arising in population genetics, Discrete Contin. Dyn. Syst. A, 34, 821-841, 2014. 11.Peng Zhou, Zhigui Lin*, Global existence and blowup of a nonlocal problem in space with free boundary, J. Funct. Anal., 262, 3409-3429, 2012. |