King-Yeung Lam (Adrian)



Peer-Reviewed Publications:

24
W. Hao, K.-Y. Lam and Y. Lou (2017)
Concentration phenomena in an integro-PDE model for evolution of conditional dispersal
Indiana Univ. Math. J., accepted, 32pp.
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23
R. S. Cantrell, C. Cosner and K.-Y. Lam (2017)
On resident-invader dynamics in infinite dimensional dynamical systems
J. Differential Equations, 263 (2017), 4565-4616. (51pp.) (DOI 10.1016/j.jde.2017.05.029).
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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), 1775-1825. (51pp.)
The final publication is available at Springer via (DOI 10.1007/s00285-017-1134-5).
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21
K.-Y. Lam (2017)
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).
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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)
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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), 1051-1069.
(The final publication is available at Springer via DOI 10.1007/s11538-017-0268-3)
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18
R.S. Cantrell, X. Cao, K.-Y. Lam and T. Xiang (2017)
A PDE model of intraguild predation with cross-diffusion
Discrete Contin. Dyn. Syst. Ser. B, 22 (2017), 3653-3661. (DOI 10.3934/dcdsb.2017145)
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17
K.-Y. Lam and Y. Lou (2017)
An integro-PDE model for evolution of random dispersal
J. Funct. Anal., 272 (2017), 1755-1790. (DOI 10.1016/j.jfa.2016.11.017)
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16
I. Averill, K.-Y. Lam and Y. Lou (2017)
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)
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15
K.-Y. Lam, Y. Lou and F. Lutscher (2016)
The emergence of range limits in advective environments
SIAM J. Appl. Math., 76 (2016), 641-662.
Copyright 2016 SIAM. (The final publication is available at http://epubs.siam.org.) (DOI 10.1137/15M1027887)
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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), 29-48. (The final publication is available at www.springerlink.com.) (DOI 10.1007/s10884-015-9504-4)
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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), 1153-1159. (DOI 10.1090/proc12768)
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12
A. Friedman and K.-Y. Lam (2015)
Analysis of a free-boundary tumor model with angiogenesis
J. Differential Equations 259 (2015), 7636-7661. (DOI 10.1016/j.jde.2015.08.032)
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11
K.-Y. Lam, Y. Lou and F. Lutscher (2014)
Evolution of dispersal in closed advective environments
J. Biol. Dyn. 9 Suppl. 1 (2014), 188-212. (DOI 10.1080/17513758.2014.969336)
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10
K.-Y. Lam and W.-M. Ni (2014)
Advection-mediated competition in general environments
J. Differential Equations, 257 (2014), 3466-3500. (DOI 10.1016/j.jde.2014.06.019)
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9
A. Friedman and K.-Y. Lam(2014)
On the stability of steady states in a granuloma model
J. Differential Equations, 256 (2014), 3743-3769. (DOI 10.1016/j.jde.2014.02.019)
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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), 3219-3244. (DOI 10.3934/dcdsb.2014.19.3219)
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7
K.-Y. Lam and Y. Lou (2014)
Evolutionarily stable and convergent stable strategies in reaction-diffusion models for conditional dispersal
Bull. Math. Biol.,76 (2014), 261-291. (DOI 10.1007/s11538-013-9901-y) (Official view-only version via Springer.com)
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6
K.-Y. Lam and Y. Lou (2014)
Evolution of dispersal: ESS in spatial models
J. Math. Biol., 68 (2014), 851-877. (The final publication is available at www.springerlink.com.) (DOI 10.1007/s00285-013-0650-1) (Official view-only version via Springer.com)
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5
K.-Y. Lam (2012)
Limiting Profiles of semilinear elliptic equations with large advection in population dynamics II
SIAM J. Math. Anal., 44 (2012), 1808-1830. (DOI 10.1137/100819758)
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4
K.-Y. Lam and W.-M. Ni (2012)
Uniqueness and complete dynamics of the Lotka-Volterra competition diffusion system
SIAM J. Appl. Math., 72 (2012), no.6, 1695-1712. (DOI 10.1137/120869481)
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3
X. Chen, K.-Y. Lam and Y. Lou (2012)
Dynamics of a reaction-diffusion-advection model for two competing species
Discrete Contin. Dyn. Syst. A, 32 (2012), 3841-3859. (DOI 10.3934/dcds.2012.32.3841)
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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, 1051-1067. (DOI 10.3934/dcds.2010.28.1051)
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1
K.-Y. Lam (2011)
Concentration phenomena of a semilinear elliptic equation with large advection in an ecological model
SIAM J. Appl. Math., 250 (2011), no. 1, 161-181. (DOI 10.1016/j.jde.2010.08.028)
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Submitted Articles:


1. Dirac Concentrations in an Integro-PDE Model from Evolutionary Game Theory

2. (with X. Wang and T. Zhang) Exponential estimate and non-existence of traveling waves for non-cooperative systems.

3. (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.


Work in Progress:


1. (with H. Huang) Coexistence of two species near an evolutionarily singular strategy I: Structure of steady states.

2. (with M. Golubitsky, W. Hao and Y. Lou) Evolution of dispersal for a river species in homogeneous advective environment.

3. (with L. Girardin) Invasion of an empty habitat by two competitors.


Notes:


1. On Cooperative elliptic systems: Principal eigenvalue and characterization of the maximum principle. (PDF)


Publications under NSF Grant