Publications Supported by NSF Grant DMS-1411476

1. K.-Y. Lam and Yuan Lou, Asymptotic Behavior of the Principal Eigenvalue for Cooperative Elliptic Systems and Applications, J. Dynam. Differential Equations, 28 (2016), 29-48. (The final publication is available at www.springerlink.com.) (PDF)

2. King-Yeung Lam and Wei-Ming Ni, Advection-mediated competition in general environments, J. Differential Equations, 257 (2014), 3466-3500. (PDF) (DOI 10.1016/j.jde.2014.06.019)

3. I. Averill, K.-Y. Lam and Y. Lou, The role of advection in a two-species competition model: a bifurcation approach, Mem. Amer. Math. Soc., Vol. 245 (2017), no. 1161, v+117pp. (DOI 10.1090/memo/1161) (PDF)

4. K.-Y. Lam, Yuan Lou and Frithjof Lutscher, Evolution of dispersal in closed advective environments, J. Biol. Dyn., 9 Suppl. 1 (2014), 188-212. (PDF) (DOI 10.1080/17513758.2014.969336)

5. Y. Lou, W.-M. Ni and S. Yotsutani, Pattern formation in a cross-diffusion system, Discrete Continuous Dynamical Systems, Series A, Discrete and Continuous Dynamical System - A, Vol. 35(4) (2015), 1589-1607. (PDF)

6. S.B. Hsu, Y.H. Du and Y. Lou, Multiple steady-states in phytoplankton population induced by photoinhibition, Journal of Differential Equations, in press. (PDF)

7. Y. Lou and P. Zhou, Evolution of dispersal in advective homogeneous environment: the effect of boundary conditions, J. Differential Equations, 259 (2015), no. 1, 141–171. (PDF)

8. K.-Y. Lam and D. Munther, A Remark on the Global Dynamics of Competitive Systems on Ordered Banach Spaces, Proc. Amer. Math. Soc., accepted. (PDF)

9. K.-Y. Lam, Yuan Lou, and Frithjof Lutscher, The emergence of range limits in advective environments, SIAM J. Appl. Math., accepted. (PDF)

10. K.-Y. Lam and Y. Lou, An integro-PDE model for evolution of random dispersal, J. Funct. Anal., 272 (2017), 1755-1790. (DOI 10.1016/j.jfa.2016.11.017) (PDF)

11. R.S. Cantrell, X. Cao, K.-Y. Lam and T. Xiang, A PDE model of intraguild predation with cross-diffusion, Discrete Contin. Dyn. Syst. Ser. B, in press. (DOI 10.3934/dcdsb.2017145) (PDF)

12. M. Golubitsky, W. Hao, K.-Y. Lam and Y. Lou, Dimorphism by singularity theory in a model for river ecology, Bull. Math. Biol., 79 (2017), 1051-1069.
(The final publication is available at Springer via DOI 10.1007/s11538-017-0268-3) (PDF)

13. R. Cui, K.-Y. Lam and Y. Lou, Dynamics and Asymptotic Profiles of Steady States of an Epidemic Model in Advective Environments, J. Differential Equations, 263 (2017), 2343–2373. (DOI 10.1016/j.jde.2017.03.045) (PDF)

14. K.-Y. Lam, Stability of Dirac Concentrations in an Integro-PDE Model for Evolution of Dispersal, Cal. Var. PDE, (2017) 56: 79.
The final publication is available at Springer via (DOI 10.1007/s00526-017-1157-1)(PDF)

15. H.-B. Hsu, K.-Y. Lam and F.-B. Wang, Single species growth consuming inorganic carbon with internal storage in the unstirred chemostat, J. Math. Biol., 75 (2017), no. 6-7, 1775–1825.
The final publication is available at Springer via (DOI 10.1007/s00285-017-1134-5) (PDF)

16. Y. Lou, D. Xiao and P. Zhou, Qualitative analysis for a Lotka-Volterra competition system in advective homogeneous environment, Discrete Contin. Dyn. Syst., 36 (2016), no. 2, 953–969. (PDF)

17. Y. Lou, X. Zhao and P. Zhou, Global dynamics of a Lotka–Volterra competition–diffusion–advection system in heterogeneous environments, Journal de Mathématiques Pures et Appliquées, accepted. (PDF)

18. E. Moberg, E. Shyu, G. Herrera, S. Lenhart, Y. Lou and M. G. Neubert, On the bioeconomics of marine reserves when dispersal evolves, Natural Resource Modeling, 28 (2015), no. 4, 456-474. (PDF)

19. Y. Lou, Y. Tao and M. Winkler, Nonexistence of nonconstant steady-state solutions in a triangular cross-diffusion model J. Differential Equations, 262 (2017), no. 10, 5160–5178. (PDF)

20. Y. Lou, D. Xiao and P. Zhou, Qualitative analysis for a Lotka-Volterra competition system in advective homogeneous environment, Discrete Contin. Dyn. Syst., 36 (2016), no. 2, 953–969. (PDF)

21. H. Nie, Y. Lou and J. Wu, Competition between two similar species in the unstirred chemostat, Discrete Contin. Dyn. Syst. Ser. B, 21 (2016), no. 2, 621–639. (PDF)

22. S.S. Chen, Y. Lou, J.J. Wei, Hopf bifurcation in a delayed reaction-diffusion-advection population model, J. Differential Equations, 264 (2018), no. 8, 5333–5359. (PDF)

23. Y. Lou and B. Wang, Local dynamics of a diffusive predator-prey model in spatially heterogeneous environment, J. Fixed Point Theory Appl., 19 (2017), no. 1, 755–772. (PDF)

24. R. Cui and Y. Lou, A spatial SIS model in advective heterogeneous environments, J. Differential Equations, 261 (2016), no. 6, 3305–3343. (PDF)

25. R.S. Cantrell, C. Cosner, Y. Lou and S. Schreiber, Evolution of natal dispersal in spatially heterogenous environments, Math. Biosci., 283 (2017), 136–144. (PDF)

26. Y. Lou and M. Winkler, Global existence and uniform boundedness of smooth solutions to a cross-diffusion system with equal diffusion rates, Comm. PDE,40 (2015), no. 10, 1905–1941. (PDF)

27. W. Hao, K.-Y. Lam and Y. Lou Concentration phenomena in an integro-PDE model for evolution of conditional dispersal Indiana Univ. Math. J., (2018) accepted, 32pp. (PDF)

28. K.-Y. Lam Dirac Concentrations in an Integro-PDE Model from Evolutionary Game Theory Discrete Cont. Dyn. Syst. Ser. B, 22 (2018), 1472-1505. (DOI 10.3934/dcdsb.2018205). (PDF)