Positions

Selected Publications

Academic Article

Year Title Altmetric
2020-12-01 On Competition Models Under Allee Effect: Asymptotic Behavior and Traveling Waves.  Communications on Pure and Applied Analysis.  19:5609-5626. 2020-12-01
2019-01-01 Traveling Wave Solutions of Quasilinear Reaction-Diffusion Systems with Mixed Quasi-Monotonicity.  Applicable Analysis.  98:934-968. 2019-01-01
2017-04-01 On traveling wave solutions in general reaction-diffusion systems with time delays.  Journal of Mathematical Analysis and Applications.  448:376-400. 2017-04-01
2016-05-01 On existence of wavefront solutions in mixed monotone reaction-diffusion systems.  DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS SERIES B.  21:815-836. 2016-05-01
2015-08-01 Permanence and Coexistence in a Diffusive Complex Ratio-dependent Food Chain.  International Journal of Dynamics and Control (Springer).  3:262-274. 2015-08-01
2015-04-01 Traveling waves and competitive exclusion in models of resource competition and mating interference.  Journal of Mathematical Analysis and Applications.  424:542-562. 2015-04-01
2014-12-01 Mathematical Analysis on an Extended Rosenzwig-MaCarthur Model of Tri-trophic Food Chain.  Discrete and Continuous Dynamical Systems Series S.  7:1215-1230. 2014-12-01
2014-01-01 Coexistence and Asymptotic Stability in Stage-structured Predator-prey Models”, Mathematical Biosciences and Engineering.  Mathematical Biosciences and Engineering.  11:823-839. 2014-01-01
2010-02-01 Block Monotone Iterative Methods for Numerical Solutions of.  SIAM Journal on Numerical Analysis.  47:4581-4606. 2010-02-01
2009-03-01 A mathematical analysis for a model arising from public goods games.  Nonlinear Analysis: Real World Applications.  10. 2009-03-01

Book

Year Title Altmetric
2009-09-01 "Dynamical Systems and Differential Equations" (2009).  AIMS Conference Proceedings Series. 2009-09-01
2007-08-01 "Dynamical Systems and Differential Equations" (2007).  AIMS Conference Proceedings Series. 2007-08-01
2003-08-01 Dynamical systems and differential equations (2003).  Proceedings of the AIMS' 4th International Conference held at the University of North Carolina at Wilmington. 2003-08-01

Research Overview

  • Partial Differential Equations, Numerical Solutions of Partial Differential Equations, Numerical Analysis

    • Co-principal Investigator On

    Investigator On

    Full Name

  • Xin Lu