Yuan Lou - Publications

Affiliations: 
Mathematics Ohio State University, Columbus, Columbus, OH 
Area:
Applied Mathematics

95 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2023 Lou Y, Salako RB, Song P. Human mobility and disease prevalence. Journal of Mathematical Biology. 87: 20. PMID 37392280 DOI: 10.1007/s00285-023-01953-1  0.331
2022 Gao D, Lou Y. Total biomass of a single population in two-patch environments. Theoretical Population Biology. 146: 1-14. PMID 35654290 DOI: 10.1016/j.tpb.2022.05.003  0.301
2022 Lou Y, Nie H. Global dynamics of a generalist predator-prey model in open advective environments. Journal of Mathematical Biology. 84: 46. PMID 35499718 DOI: 10.1007/s00285-022-01756-w  0.421
2021 Zhang B, Lam KY, Ni WM, Signorelli R, Collins KM, Fu Z, Zhai L, Lou Y, DeAngelis DL, Hastings A. Directed movement changes coexistence outcomes in heterogeneous environments. Ecology Letters. PMID 34818698 DOI: 10.1111/ele.13925  0.758
2021 Jiang H, Lam KY, Lou Y. Three-patch Models for the Evolution of Dispersal in Advective Environments: Varying Drift and Network Topology. Bulletin of Mathematical Biology. 83: 109. PMID 34524555 DOI: 10.1007/s11538-021-00939-8  0.681
2021 Bouin E, Legendre G, Lou Y, Slover N. Evolution of anisotropic diffusion in two-dimensional heterogeneous environments. Journal of Mathematical Biology. 82: 36. PMID 33721124 DOI: 10.1007/s00285-021-01579-1  0.478
2021 Nagahara K, Lou Y, Yanagida E. Maximizing the total population with logistic growth in a patchy environment. Journal of Mathematical Biology. 82: 2. PMID 33475813 DOI: 10.1007/s00285-021-01565-7  0.372
2020 Jiang H, Lam KY, Lou Y. Are Two-Patch Models Sufficient? The Evolution of Dispersal and Topology of River Network Modules. Bulletin of Mathematical Biology. 82: 131. PMID 33025293 DOI: 10.1007/s11538-020-00803-1  0.67
2019 He X, Lam KY, Lou Y, Ni WM. Dynamics of a consumer-resource reaction-diffusion model : Homogeneous versus heterogeneous environments. Journal of Mathematical Biology. PMID 30603993 DOI: 10.1007/S00285-018-1321-Z  0.787
2019 Hao W, Lam K, Lou Y. Concentration phenomena in an integro-PDE model for evolution of conditional dispersal Indiana University Mathematics Journal. 68: 881-923. DOI: 10.1512/Iumj.2019.68.7625  0.623
2019 Jiang D, Lam K, Lou Y, Wang Z. Monotonicity and Global Dynamics of a Nonlocal Two-Species Phytoplankton Model Siam Journal On Applied Mathematics. 79: 716-742. DOI: 10.1137/18M1221588  0.738
2019 Lou Y, Zhao X, Zhou P. Global dynamics of a Lotka–Volterra competition–diffusion–advection system in heterogeneous environments Journal De MathéMatiques Pures Et AppliquéEs. 121: 47-82. DOI: 10.1016/J.Matpur.2018.06.010  0.497
2019 Song P, Lou Y, Xiao Y. A spatial SEIRS reaction-diffusion model in heterogeneous environment Journal of Differential Equations. 267: 5084-5114. DOI: 10.1016/J.Jde.2019.05.022  0.435
2018 Cantrell RS, Cosner C, Lewis MA, Lou Y. Evolution of dispersal in spatial population models with multiple timescales. Journal of Mathematical Biology. PMID 30392106 DOI: 10.1007/S00285-018-1302-2  0.505
2018 Lou Y, Nie H, Wang Y. Coexistence and bistability of a competition model in open advective environments. Mathematical Biosciences. PMID 30336145 DOI: 10.1016/J.Mbs.2018.09.013  0.472
2018 Chen S, Lou Y, Wei J. Hopf bifurcation in a delayed reaction-diffusion-advection population model Journal of Differential Equations. 264: 5333-5359. DOI: 10.1016/J.Jde.2018.01.008  0.423
2017 Golubitsky M, Hao W, Lam KY, Lou Y. Dimorphism by Singularity Theory in a Model for River Ecology. Bulletin of Mathematical Biology. PMID 28357615 DOI: 10.1007/S11538-017-0268-3  0.677
2017 Hao W, Lam K, Lou Y. Ecological and evolutionary dynamics in advective environments: Critical domain size and boundary conditions Discrete and Continuous Dynamical Systems-Series B. 22: 0. DOI: 10.3934/Dcdsb.2020283  0.695
2017 Lam K, Lou Y. An integro-PDE model for evolution of random dispersal Journal of Functional Analysis. 272: 1755-1790. DOI: 10.1016/J.Jfa.2016.11.017  0.699
2017 Cui R, Lam K, Lou Y. Dynamics and asymptotic profiles of steady states of an epidemic model in advective environments Journal of Differential Equations. 263: 2343-2373. DOI: 10.1016/J.Jde.2017.03.045  0.694
2017 Lou Y, Tao Y, Winkler M. Nonexistence of nonconstant steady-state solutions in a triangular cross-diffusion model Journal of Differential Equations. 262: 5160-5178. DOI: 10.1016/J.Jde.2017.01.017  0.453
2017 Lou Y, Wang B. Local dynamics of a diffusive predator–prey model in spatially heterogeneous environment Journal of Fixed Point Theory and Applications. 19: 755-772. DOI: 10.1007/S11784-016-0372-2  0.485
2016 Cantrell RS, Cosner C, Lou Y, Schreiber SJ. Evolution of natal dispersal in spatially heterogenous environments. Mathematical Biosciences. PMID 27840280 DOI: 10.1016/J.Mbs.2016.11.003  0.54
2016 Udiani O, Lou Y, Hamilton I. On the evolutionary stability ofmale harassment: In a coercivemating game Tamkang Journal of Mathematics. 47: 93-107. DOI: 10.5556/J.Tkjm.47.2016.1936  0.308
2016 Nie H, Lou Y, Wu J. Competition between two similar species in the unstirred chemostat Discrete and Continuous Dynamical Systems - Series B. 21: 621-639. DOI: 10.3934/Dcdsb.2016.21.621  0.534
2016 Lou Y, Xiao D, Zhou P. Qualitative analysis for a Lotka-Volterra competition system in advective homogeneous environment Discrete and Continuous Dynamical Systems- Series A. 36: 953-969. DOI: 10.3934/Dcds.2016.36.953  0.626
2016 Lam KY, Lou Y, Lutscher F. The emergence of range limits in advective environments Siam Journal On Applied Mathematics. 76: 641-662. DOI: 10.1137/15M1027887  0.706
2016 Cui R, Lou Y. A spatial SIS model in advective heterogeneous environments Journal of Differential Equations. DOI: 10.1016/J.Jde.2016.05.025  0.47
2015 Lam KY, Lou Y, Lutscher F. Evolution of dispersal in closed advective environments. Journal of Biological Dynamics. 9: 188-212. PMID 25333688 DOI: 10.1080/17513758.2014.969336  0.749
2015 Moberg EA, Shyu E, Herrera GE, Lenhart S, Lou Y, Neubert MG. On the bioeconomics of marine reserves when dispersal evolves Natural Resource Modeling. 28: 456-474. DOI: 10.1111/Nrm.12075  0.436
2015 Lou Y, Winkler M. Global Existence and Uniform Boundedness of Smooth Solutions to a Cross-Diffusion System with Equal Diffusion Rates Communications in Partial Differential Equations. 40: 1905-1941. DOI: 10.1080/03605302.2015.1052882  0.503
2015 Lou Y, Zhou P. Evolution of dispersal in advective homogeneous environment: The effect of boundary conditions Journal of Differential Equations. 259: 141-171. DOI: 10.1016/J.Jde.2015.02.004  0.555
2015 Du Y, Hsu S, Lou Y. Multiple steady-states in phytoplankton population induced by photoinhibition Journal of Differential Equations. 258: 2408-2434. DOI: 10.1016/J.Jde.2014.12.012  0.435
2015 Lam KY, Lou Y. Asymptotic Behavior of the Principal Eigenvalue for Cooperative Elliptic Systems and Applications Journal of Dynamics and Differential Equations. 1-20. DOI: 10.1007/S10884-015-9504-4  0.673
2014 Lam KY, Lou Y. Evolutionarily stable and convergent stable strategies in reaction-diffusion models for conditional dispersal. Bulletin of Mathematical Biology. 76: 261-91. PMID 24430731 DOI: 10.1007/S11538-013-9901-Y  0.748
2014 Liao KL, Lou Y. The effect of time delay in a two-patch model with random dispersal. Bulletin of Mathematical Biology. 76: 335-76. PMID 24297512 DOI: 10.1007/S11538-013-9921-7  0.399
2014 Lou Y, Lutscher F. Evolution of dispersal in open advective environments. Journal of Mathematical Biology. 69: 1319-42. PMID 24132380 DOI: 10.1007/S00285-013-0730-2  0.52
2014 Lam KY, Lou Y. Evolution of conditional dispersal: evolutionarily stable strategies in spatial models. Journal of Mathematical Biology. 68: 851-77. PMID 23412664 DOI: 10.1007/S00285-013-0650-1  0.755
2014 Lin K, Lou Y, Shih C, Tsai T. Global Dynamics For Two-Species Competition In Patchy Environment Mathematical Biosciences and Engineering. 11: 947-970. DOI: 10.3934/Mbe.2014.11.947  0.584
2014 Lou Y, Ni WM, Yotsutani S. Pattern formation in a cross-diffusion system Discrete and Continuous Dynamical Systems. 35: 1589-1607. DOI: 10.3934/Dcds.2015.35.1589  0.467
2014 Chen X, Lam K, Lou Y. Corrigendum: Dynamics of a reaction-diffusion-advection model for two competing species Discrete and Continuous Dynamical Systems. 34: 4989-4995. DOI: 10.3934/Dcds.2014.34.4989  0.706
2014 Lou Y, Tao Y, Winkler M. Approaching the Ideal Free Distribution in Two-Species Competition Models with Fitness-Dependent Dispersal Siam Journal On Mathematical Analysis. 46: 1228-1262. DOI: 10.1137/130934246  0.573
2014 Li F, Lou Y, Wang Y. Global dynamics of a competition model with non-local dispersal I: The shadow system Journal of Mathematical Analysis and Applications. 412: 485-497. DOI: 10.1016/J.Jmaa.2013.10.071  0.527
2013 Lou Y, Nagylaki T, Ni WM. An introduction to migration-selection pde models Discrete and Continuous Dynamical Systems. 33: 4349-4373. DOI: 10.3934/Dcds.2013.33.4349  0.301
2013 Cantrell RS, Cosner C, Lou Y, Xie C. Random dispersal versus fitness-dependent dispersal Journal of Differential Equations. 254: 2905-2941. DOI: 10.1016/J.Jde.2013.01.012  0.579
2013 Lou Y, Nagylaki T, Su L. An integro-PDE model from population genetics Journal of Differential Equations. 254: 2367-2392. DOI: 10.1016/J.Jde.2012.12.006  0.638
2012 Averill I, Lou Y, Munther D. On several conjectures from evolution of dispersal. Journal of Biological Dynamics. 6: 117-30. PMID 22873583 DOI: 10.1080/17513758.2010.529169  0.73
2012 Cantrell RS, Cosner C, Lou Y. Evolutionary stability of ideal free dispersal strategies in patchy environments Journal of Mathematical Biology. 65: 943-965. PMID 22048260 DOI: 10.1007/S00285-011-0486-5  0.463
2012 Gejji R, Lou Y, Munther D, Peyton J. Evolutionary convergence to ideal free dispersal strategies and coexistence. Bulletin of Mathematical Biology. 74: 257-99. PMID 21557035 DOI: 10.1007/S11538-011-9662-4  0.569
2012 Kao C, Lou Y, Shen W. Evolution of Mixed Dispersal in Periodic Environments Discrete and Continuous Dynamical Systems-Series B. 17: 2047-2072. DOI: 10.3934/Dcdsb.2012.17.2047  0.448
2012 Chen X, Lam K, Lou Y. Dynamics of a reaction-diffusion-advection model for two competing species Discrete and Continuous Dynamical Systems. 32: 3841-3859. DOI: 10.3934/Dcds.2012.32.3841  0.76
2012 Lou Y, Munther D. Dynamics of a Three Species Competition Model Discrete and Continuous Dynamical Systems. 32: 3099-3131. DOI: 10.3934/Dcds.2012.32.3099  0.551
2011 Deangelis DL, Wolkowicz GS, Lou Y, Jiang Y, Novak M, Svanbäck R, Araújo MS, Jo Y, Cleary EA. The effect of travel loss on evolutionarily stable distributions of populations in space. The American Naturalist. 178: 15-29. PMID 21670574 DOI: 10.1086/660280  0.365
2011 Flaxman SM, Lou Y, Meyer FG. Evolutionary ecology of movement by predators and prey Theoretical Ecology. 4: 255-267. DOI: 10.1007/S12080-011-0120-6  0.436
2010 Cantrell RS, Cosner C, Lou Y. Evolution of dispersal and the ideal free distribution Mathematical Biosciences and Engineering. 7: 17-36. PMID 20104946 DOI: 10.3934/Mbe.2010.7.17  0.61
2010 Lou Y, Ni WM, Su L. An indefinite nonlinear diffusion problem in population genetics, II: Stability and multiplicity Discrete and Continuous Dynamical Systems. 27: 643-655. DOI: 10.3934/Dcds.2010.27.643  0.591
2010 Hsu S, Lou Y. Single Phytoplankton Species Growth with Light and Advection in a Water Column Siam Journal On Applied Mathematics. 70: 2942-2974. DOI: 10.1137/100782358  0.477
2010 Bezuglyy A, Lou Y. Reaction–diffusion models with large advection coefficients Applicable Analysis. 89: 983-1004. DOI: 10.1080/00036810903479723  0.559
2010 Ding W, Finotti H, Lenhart S, Lou Y, Ye Q. Optimal control of growth coefficient on a steady-state population model Nonlinear Analysis: Real World Applications. 11: 688-704. DOI: 10.1016/J.Nonrwa.2009.01.015  0.336
2009 Lou Y, Martínez S. Evolution of cross-diffusion and self-diffusion. Journal of Biological Dynamics. 3: 410-29. PMID 22876941 DOI: 10.1080/17513750802491849  0.721
2009 Hambrock R, Lou Y. The evolution of conditional dispersal strategies in spatially heterogeneous habitats. Bulletin of Mathematical Biology. 71: 1793-817. PMID 19475455 DOI: 10.1007/S11538-009-9425-7  0.795
2009 Flaxman SM, Lou Y. Tracking prey or tracking the prey's resource? Mechanisms of movement and optimal habitat selection by predators. Journal of Theoretical Biology. 256: 187-200. PMID 18952108 DOI: 10.1016/J.Jtbi.2008.09.024  0.399
2009 Allen LJ, Lou Y, Nevai AL. Spatial patterns in a discrete-time SIS patch model. Journal of Mathematical Biology. 58: 339-75. PMID 18548251 DOI: 10.1007/S00285-008-0194-Y  0.336
2009 Kao C, Lou Y, Shen W. Random dispersal vs. non-local dispersal Discrete and Continuous Dynamical Systems. 26: 551-596. DOI: 10.3934/Dcds.2010.26.551  0.568
2008 Chen X, Hambrock R, Lou Y. Evolution of conditional dispersal: a reaction-diffusion-advection model. Journal of Mathematical Biology. 57: 361-86. PMID 18317765 DOI: 10.1007/S00285-008-0166-2  0.792
2008 Allen LJS, Bolker BM, Lou Y, Nevai AL. Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model Discrete and Continuous Dynamical Systems. 21: 1-20. DOI: 10.3934/Dcds.2008.21.1  0.399
2008 Chen X, Lou Y. Principal eigenvalue and eigenfunctions of an elliptic operator with large advection and its application to a competition model Indiana University Mathematics Journal. 57: 627-658. DOI: 10.1512/Iumj.2008.57.3204  0.597
2008 Cantrell RS, Cosner C, Lou Y. Approximating the ideal free distribution via reaction-diffusion-advection equations Journal of Differential Equations. 245: 3687-3703. DOI: 10.1016/J.Jde.2008.07.024  0.449
2007 Nagylaki T, Lou Y. Evolution under multiallelic migration-selection models. Theoretical Population Biology. 72: 21-40. PMID 17470373 DOI: 10.1016/J.Tpb.2007.02.005  0.374
2007 Nagylaki T, Lou Y. Evolution at a multiallelic locus under migration and uniform selection. Journal of Mathematical Biology. 54: 787-96. PMID 17323065 DOI: 10.1007/S00285-007-0077-7  0.397
2007 Cantrell RS, Cosner C, Lou Y. Advection-mediated coexistence of competing species Proceedings of the Royal Society of Edinburgh Section a: Mathematics. 137: 497-518. DOI: 10.1017/S0308210506000047  0.613
2006 Cantrell RS, Cosner C, Lou Y. Movement toward better environments and the evolution of rapid diffusion Mathematical Biosciences. 204: 199-214. PMID 17070869 DOI: 10.1016/J.Mbs.2006.09.003  0.529
2006 Nagylaki T, Lou Y. Evolution under the multiallelic Levene model. Theoretical Population Biology. 70: 401-11. PMID 16697023 DOI: 10.1016/J.Tpb.2006.03.002  0.327
2006 Nagylaki T, Lou Y. Multiallelic selection polymorphism. Theoretical Population Biology. 69: 217-29. PMID 16343574 DOI: 10.1016/J.Tpb.2005.09.003  0.335
2006 Lou Y, Martínez S, Poláčik P. Loops and branches of coexistence states in a Lotka-Volterra competition model Journal of Differential Equations. 230: 720-742. DOI: 10.1016/J.Jde.2006.04.005  0.662
2006 Lou Y, Nagylaki T. Evolution of a semilinear parabolic system for migration and selection without dominance Journal of Differential Equations. 225: 624-665. DOI: 10.1016/J.Jde.2006.01.012  0.41
2006 Lou Y. On the effects of migration and spatial heterogeneity on single and multiple species Journal of Differential Equations. 223: 400-426. DOI: 10.1016/J.Jde.2005.05.010  0.534
2005 Lou Y, Nie Q, Wan FY. EFFECTS OF SOG ON DPP-RECEPTOR BINDING. Siam Journal On Applied Mathematics. 65: 1748-1771. PMID 17377624 DOI: 10.1137/S0036139903433219  0.319
2005 Hutson V, Lou Y, Mischaikow K. Convergence in competition models with small diffusion coefficients Journal of Differential Equations. 211: 135-161. DOI: 10.1016/J.Jde.2004.06.003  0.452
2004 Hutson V, Lou Y, Mischaikow K, Poláčik P. Competing species near a degenerate limit Siam Journal On Mathematical Analysis. 35: 453-491. DOI: 10.1137/S0036141002402189  0.527
2004 Lou Y, Nie Q, Wan FYM. Nonlinear Eigenvalue Problems in the Stability Analysis of Morphogen Gradients Studies in Applied Mathematics. 113: 183-215. DOI: 10.1111/J.1467-9590.2004.01530.X  0.334
2004 Lou Y, Nagylaki T. Evolution of a semilinear parabolic system for migration and selection in population genetics Journal of Differential Equations. 204: 292-322. DOI: 10.1016/J.Jde.2004.01.009  0.444
2004 Cantrell RS, Cosner C, Lou Y. Multiple Reversals of Competitive Dominance in Ecological Reserves via External Habitat Degradation Journal of Dynamics and Differential Equations. 16: 973-1010. DOI: 10.1007/S10884-004-7831-Y  0.523
2003 Lou Y, Ni WM, Yotsutani S. On a limiting system in the Lotka--Volterra competition with cross-diffusion Discrete and Continuous Dynamical Systems. 10: 435-458. DOI: 10.3934/Dcds.2004.10.435  0.405
2003 Cosner C, Lou Y. Does movement toward better environments always benefit a population? Journal of Mathematical Analysis and Applications. 277: 489-503. DOI: 10.1016/S0022-247X(02)00575-9  0.412
2002 Hutson V, Lou Y, Mischaikow K. Spatial heterogeneity of resources versus lotka-volterra dynamics Journal of Differential Equations. 185: 97-136. DOI: 10.1006/Jdeq.2001.4157  0.535
2002 Lou Y, Nagylaki T. A semilinear parabolic system for migration and selection in population genetics Journal of Differential Equations. 181: 388-418. DOI: 10.1006/Jdeq.2001.4086  0.417
2001 Nagylaki T, Lou Y. Patterns of multiallelic polymorphism maintained by migration and selection Theoretical Population Biology. 59: 297-313. PMID 11560450 DOI: 10.1006/Tpbi.2001.1526  0.357
2001 Du Y, Lou Y. Qualitative behaviour of positive solutions of a predator-prey model: Effects of saturation Royal Society of Edinburgh - Proceedings A. 131: 321-349. DOI: 10.1017/S0308210500000895  0.331
2001 Lou Y, Nagylaki T, Ni W. On diffusion-induced blowups in a mutualistic model Nonlinear Analysis: Theory, Methods & Applications. 45: 329-342. DOI: 10.1016/S0362-546X(99)00346-6  0.598
1999 Lou Y, Martínez S, Ni WM. On $3\times 3$ Lotka-Volterra competition systems with cross-diffusion Discrete and Continuous Dynamical Systems. 6: 175-190. DOI: 10.3934/Dcds.2000.6.175  0.378
1999 Lou Y, Ni WM. Diffusion vs cross-diffusion: An elliptic approach Journal of Differential Equations. 154: 157-190. DOI: 10.1006/Jdeq.1998.3559  0.497
1998 Lou Y, Ni WM, Wu Y. On the global existence of a cross-diffusion system Discrete and Continuous Dynamical Systems. 4: 193-203. DOI: 10.3934/Dcds.1998.4.193  0.401
1997 Yihong DU, Lou Y. Some uniqueness and exact multiplicity results for a predator-prey model Transactions of the American Mathematical Society. 349: 2443-2475. DOI: 10.1090/S0002-9947-97-01842-4  0.373
1996 Lou Y, Ni WM. Diffusion, self-diffusion and cross-diffusion Journal of Differential Equations. 131: 79-131. DOI: 10.1006/Jdeq.1996.0157  0.622
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