KingYeung Lam (Adrian)
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PeerReviewed Publications:
28 
L. Su, K.Y. Lam and R. Bürger (2019) Twolocus clines maintained by diffusion and recombination in a heterogeneous environment J. Differential Equations, (2019), accepted, 40pp. (DOI 10.1016/j.jde.2018.12.022). 

27 
X. He, K.Y. Lam, Y. Lou and W.M. Ni (2019) Dynamics of a ConsumerResource ReactionDiffusion Model J. Math. Biol., (2019), in press, 32pp. (DOI 10.1007/s002850181321z). 

26 
W. Hao, K.Y. Lam and Y. Lou (2019) Concentration phenomena in an integroPDE model for evolution of conditional dispersal Indiana Univ. Math. J., accepted, 32pp. 

25 
K.Y. Lam, X. Wang and T. Zhang (2018) Traveling waves for a class of diffusive diseasetransmission models with network structures SIAM J. Math. Anal., 50 (2018), 57195748. (DOI 10.1137/17M1144258). 

24 
K.Y. Lam (2018) Dirac Concentrations in an IntegroPDE Model from Evolutionary Game Theory Discrete Cont. Dyn. Syst. Ser. B, 22 (2018), 14721505. (DOI 10.3934/dcdsb.2018205). 

23 
R. S. Cantrell, C. Cosner and K.Y. Lam (2017) On residentinvader dynamics in infinite dimensional dynamical systems J. Differential Equations, 263 (2017), 45654616. (51pp.) (DOI 10.1016/j.jde.2017.05.029). 

22 
H.B. Hsu, K.Y. Lam and F.B. Wang (2017) Single species growth consuming inorganic carbon with internal storage in the unstirred chemostat J. Math. Biol., 75 (2017), 17751825. (51pp.) The final publication is available at Springer via (DOI 10.1007/s0028501711345). 

21 
K.Y. Lam (2017) Stability of Dirac Concentrations in an IntegroPDE Model for Evolution of Dispersal Cal. Var. PDE, (2017) 56: 79. The final publication is available at Springer via (DOI 10.1007/s0052601711571). 

20 
R. Cui, K.Y. Lam and Y. Lou (2017) 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) 

19 
M. Golubitsky, W. Hao, K.Y. Lam and Y. Lou
(2017) Dimorphism by singularity theory in a model for river ecology Bull. Math. Biol., 79 (2017), 10511069. (The viewonly final version is available for openaccess at Springer here) 

18 
R.S. Cantrell, X. Cao, K.Y. Lam and T. Xiang
(2017) A PDE model of intraguild predation with crossdiffusion Discrete Contin. Dyn. Syst. Ser. B, 22 (2017), 36533661. (DOI 10.3934/dcdsb.2017145) 

17 
K.Y. Lam and Y. Lou
(2017) An integroPDE model for evolution of random dispersal J. Funct. Anal., 272 (2017), 17551790. (DOI 10.1016/j.jfa.2016.11.017) 

16 
I. Averill, K.Y. Lam and Y. Lou
(2017) The role of advection in a twospecies competition model: a bifurcation approach Mem. Amer. Math. Soc., Vol. 245 (2017), no. 1161, v+117pp. (DOI 10.1090/memo/1161) 

15 
K.Y. Lam, Y. Lou and F. Lutscher
(2016) The emergence of range limits in advective environments SIAM J. Appl. Math., 76 (2016), 641662. Copyright 2016 SIAM. (The final publication is available at http://epubs.siam.org.) (DOI 10.1137/15M1027887) 

14 
K.Y. Lam and Y. Lou
(2016) Asymptotic behavior of the principal eigenvalue for cooperative elliptic systems and applications J. Dynam. Differential Equations, 28 (2016), 2948. (The final publication is available at www.springerlink.com.) (DOI 10.1007/s1088401595044) 

13 
K.Y. Lam and D. Munther
(2016) A Remark on the Global Dynamics of Competitive Systems on Ordered Banach Spaces Proc. Amer. Math. Soc. 144 (2016), 11531159. (DOI 10.1090/proc12768) 

12 
A. Friedman and K.Y. Lam (2015) Analysis of a freeboundary tumor model with angiogenesis J. Differential Equations 259 (2015), 76367661. (DOI 10.1016/j.jde.2015.08.032) 

11 
K.Y. Lam, Y. Lou and F. Lutscher (2014) Evolution of dispersal in closed advective environments J. Biol. Dyn. 9 Suppl. 1 (2014), 188212. (DOI 10.1080/17513758.2014.969336) 

10 
K.Y. Lam and W.M. Ni (2014) Advectionmediated competition in general environments J. Differential Equations, 257 (2014), 34663500. (DOI 10.1016/j.jde.2014.06.019) 

9 
A. Friedman and K.Y. Lam(2014) On the stability of steady states in a granuloma model J. Differential Equations, 256 (2014), 37433769. (DOI 10.1016/j.jde.2014.02.019) 

8 
K.Y. Lam and D. Munther (2014) Invading the ideal free distribution, Special Issue in Honor of Chris Cosner's 60th Birthday Discrete Contin. Dyn. Syst. Ser. B, 19 (2014), 32193244. (DOI 10.3934/dcdsb.2014.19.3219) 

7 
K.Y. Lam and Y. Lou (2014) Evolutionarily stable and convergent stable strategies in reactiondiffusion models for conditional dispersal Bull. Math. Biol.,76 (2014), 261291. (DOI 10.1007/s115380139901y) (Official viewonly version via Springer.com) 

6 
K.Y. Lam and Y. Lou (2014) Evolution of dispersal: ESS in spatial models J. Math. Biol., 68 (2014), 851877. (The final publication is available at www.springerlink.com.) (DOI 10.1007/s0028501306501) (Official viewonly version via Springer.com) 

5 
K.Y. Lam (2012) Limiting Profiles of semilinear elliptic equations with large advection in population dynamics II SIAM J. Math. Anal., 44 (2012), 18081830. (DOI 10.1137/100819758) 

4 
K.Y. Lam and W.M. Ni (2012) Uniqueness and complete dynamics of the LotkaVolterra competition diffusion system SIAM J. Appl. Math., 72 (2012), no.6, 16951712. (DOI 10.1137/120869481) 

3 
X. Chen, K.Y. Lam and Y. Lou (2012) Dynamics of a reactiondiffusionadvection model for two competing species Discrete Contin. Dyn. Syst. A, 32 (2012), 38413859. (DOI 10.3934/dcds.2012.32.3841) 
Corrigendum 
2 
K.Y. Lam and W.M. Ni (2010) Limiting profiles of semilinear elliptic equations with large advection in population dynamics, Special Volume in Honor of Louis Nirenberg's 85th Birthday Discrete Contin. Dyn. Syst. A 28 (2010), no. 3, 10511067. (DOI 10.3934/dcds.2010.28.1051) 

1 
K.Y. Lam (2011) Concentration phenomena of a semilinear elliptic equation with large advection in an ecological model J. Differential Equations, 250 (2011), no. 1, 161181. (DOI 10.1016/j.jde.2010.08.028) 
Submitted Articles:
1. (with Y. Lou) Persistence, Competition and Evolution, book chapter, The Dynamics of Biological Systems, A. Bianchi, T. Hillen, M. Lewis, Y. Yi eds., Springer Verlag.
2. (with L. Girardin) Invasion of an empty habitat by two competitors: spreading properties of monostable twospecies competitiondiffusion systems. (PDF)
3. (with V. Calvez) Uniqueness of the viscosity solution of a constrained HamiltonJacobi equation. (PDF)
4. (with D. Jiang, Y. Lou and Z. Wang) Monotonicity and global dynamics of a nonlocal twospecies phytoplankton model.
Work in Progress:
1. (with M. Golubitsky, W. Hao and Y. Lou) Evolution of dispersal for a river species in homogeneous advective environment.
2. (with R. Salako and Q. Wu) On the entire solutions of the diffusive LotkaVolterra competition model.
3. (with Q. Liu and S. Liu) Invasion of an empty habitat by two competitors and related questions.
4. 5. (with A. Friedman) Analysis of a mathematical model of rheumatoid arthritis.
Notes:
1. On Cooperative elliptic systems: Principal eigenvalue and characterization of the maximum principle. (PDF)