Publications Supported by NSF Grant DMS-1411476

1. K.-Y. Lam and Yuan Lou, Principal eigenvalue of cooperative elliptic systems with applications, J. Dynam. Differential Equations, 28 (2016), 29-48. (The final publication is available at (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 fast dispersal in advective homogeneous environments, J. Differential Equations, accepted.

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., in press, 51pp.
The final publication is available at Springer via (DOI 10.1007/s00285-017-1134-5)(PDF)