Spreading Properties for Non-autonomous Fisher–KPP Equations with Non-local Diffusion

[1]  A. Ducrot,et al.  Generalized travelling fronts for non-autonomous Fisher-KPP equations with nonlocal diffusion , 2021, Annali di Matematica Pura ed Applicata (1923 -).

[2]  G. Legendre,et al.  Sharp exponent of acceleration in general nonlocal equations with a weak Allee effect , 2021, 2105.09911.

[3]  Xing Liang,et al.  Spreading speeds of nonlocal KPP equations in almost periodic media , 2020 .

[4]  S. Ruan,et al.  Spatial propagation in nonlocal dispersal Fisher-KPP equations , 2020, 2007.15428.

[5]  S. Ruan,et al.  Spatial propagation in an epidemic model with nonlocal diffusion: The influences of initial data and dispersals , 2020, Science China Mathematics.

[6]  Jong-Shenq Guo,et al.  Asymptotic spreading speeds for a predator–prey system with two predators and one prey , 2020, 2007.02568.

[7]  S. Ruan,et al.  Generalized traveling waves for time-dependent reaction–diffusion systems , 2020, Mathematische Annalen.

[8]  Xiao-Qiang Zhao,et al.  Propagation phenomena for a two-species Lotka–Volterra strong competition system with nonlocal dispersal , 2019, Calculus of Variations and Partial Differential Equations.

[9]  A. Ducrot,et al.  Spreading speeds for multidimensional reaction–diffusion systems of the prey–predator type , 2019, Calculus of Variations and Partial Differential Equations.

[10]  Wan-Tong Li,et al.  Spreading speeds and linear determinacy of time dependent diffusive cooperative/competitive systems , 2018, Journal of Differential Equations.

[11]  S. Ruan,et al.  Fast propagation for reaction–diffusion cooperative systems , 2018, Journal of Differential Equations.

[12]  King-Yeung Lam,et al.  Invasion of open space by two competitors: spreading properties of monostable two‐species competition‐diffusion systems , 2018, Proceedings of the London Mathematical Society.

[13]  D. Finkelshtein,et al.  Accelerated nonlocal nonsymmetric dispersion for monostable equations on the real line , 2017, 1706.09647.

[14]  D. Finkelshtein,et al.  The hair-trigger effect for a class of nonlocal nonlinear equations , 2017, 1702.08076.

[15]  J. Coville,et al.  Propagation phenomena in monostable integro-differential equations: Acceleration or not? , 2016, 1610.05908.

[16]  M. Alfaro Fujita blow up phenomena and hair trigger effect: the role of dispersal tails , 2016, 1605.00891.

[17]  L. Rossi,et al.  Transition waves for Fisher-KPP equations with general time-heterogeneous and space-periodic coefficients , 2015, 1603.00428.

[18]  Zhongwei Shen,et al.  Transition fronts in nonlocal Fisher-KPP equations in time heterogeneous media , 2015, 1507.03710.

[19]  H. Berestycki,et al.  Asymptotic Spreading for General Heterogeneous Fisher-KPP Type Equations , 2015, Memoirs of the American Mathematical Society.

[20]  Xiao-Qiang Zhao,et al.  Traveling waves and spreading speeds for time-space periodic monotone systems , 2015, 1504.03788.

[21]  H. Berestycki,et al.  Persistence criteria for populations with non-local dispersion , 2014, Journal of Mathematical Biology.

[22]  Tau Shean Lim,et al.  Transition fronts for inhomogeneous Fisher-KPP reactions and non-local diffusion , 2014, 1403.0166.

[23]  B. Lou,et al.  Recurrent traveling waves in a two-dimensional saw-toothed cylinder and their average speed , 2013 .

[24]  Wenxian Shen,et al.  Spreading Speeds and Traveling Waves of Nonlocal Monostable Equations in Time and Space Periodic Habitats , 2013, 1307.6576.

[25]  J. Roquejoffre,et al.  The Influence of Fractional Diffusion in Fisher-KPP Equations , 2013, Communications in Mathematical Physics.

[26]  Jerome Coville,et al.  Pulsating fronts for nonlocal dispersion and KPP nonlinearity , 2013, 1302.1053.

[27]  M. Lewis,et al.  Seasonal influences on population spread and persistence in streams: spreading speeds , 2012, Journal of mathematical biology.

[28]  J. Roquejoffre,et al.  The Influence of Fractional Diffusion in Fisher-KPP Equations , 2012, 1202.6072.

[29]  H. Matano,et al.  Large time behavior of disturbed planar fronts in the Allen–Cahn equation☆ , 2011 .

[30]  J. Garnier,et al.  Maximal and Minimal Spreading Speeds for Reaction Diffusion Equations in Nonperiodic Slowly Varying Media , 2011, 1111.3860.

[31]  L. Rossi,et al.  Propagation phenomena for time heterogeneous KPP reaction–diffusion equations , 2011, 1104.3686.

[32]  S. Ruan,et al.  Spreading speeds and traveling waves in competitive recursion systems , 2011, Journal of mathematical biology.

[33]  Wenxian Shen,et al.  Variational principle for spreading speeds and generalized propagating speeds in time almost periodic and space periodic KPP models , 2010 .

[34]  Jimmy Garnier,et al.  Accelerating Solutions in Integro-Differential Equations , 2010, SIAM J. Math. Anal..

[35]  Wenxian Shen,et al.  Spreading speeds for monostable equations with nonlocal dispersal in space periodic habitats , 2010 .

[36]  Wan-Tong Li,et al.  Entire solutions in the Fisher-KPP equation with nonlocal dispersal , 2010 .

[37]  Yuan Lou,et al.  Random dispersal vs. non-local dispersal , 2009 .

[38]  Xiao-Qiang Zhao,et al.  Spatial dynamics of a periodic population model with dispersal , 2009 .

[39]  Henri Berestycki,et al.  Asymptotic spreading in heterogeneous diffusive excitable media , 2008 .

[40]  J. Coville,et al.  On a non-local equation arising in population dynamics , 2007, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

[41]  Xiao-Qiang Zhao,et al.  Asymptotic speeds of spread and traveling waves for monotone semiflows with applications , 2007 .

[42]  Xiao-Qiang Zhao,et al.  Spreading speeds and traveling waves for periodic evolution systems , 2006 .

[43]  François Hamel,et al.  The speed of propagation for KPP type problems. I: Periodic framework , 2005 .

[44]  Mark A. Lewis,et al.  The Effect of Dispersal Patterns on Stream Populations , 2005, SIAM Rev..

[45]  Jérôme Coville,et al.  Propagation speed of travelling fronts in non local reaction–diffusion equations , 2005 .

[46]  Hans F. Weinberger,et al.  On spreading speeds and traveling waves for growth and migration models in a periodic habitat , 2002, Journal of mathematical biology.

[47]  Jack K. Hale,et al.  Persistence in infinite-dimensional systems , 1989 .

[48]  Hans F. Weinberger,et al.  Long-Time Behavior of a Class of Biological Models , 1982 .

[49]  Odo Diekmann,et al.  Run for your life; a note on the asymptotic speed of propagation of an epidemic : (preprint) , 1979 .

[50]  D. Aronson,et al.  Multidimensional nonlinear di u-sion arising in population genetics , 1978 .

[51]  R. Fisher THE WAVE OF ADVANCE OF ADVANTAGEOUS GENES , 1937 .

[52]  Arnaud Ducrot,et al.  Asymptotic speed of spread for a nonlocal evolutionary-epidemic system , 2021, Discrete & Continuous Dynamical Systems.

[53]  Horst R. Thieme,et al.  Dynamical Systems And Population Persistence , 2016 .

[54]  Henri Berestycki,et al.  The speed of propagation for KPP type problems. II , 2010 .

[55]  Xiao-Qiang Zhao,et al.  Global Attractors and Steady States for Uniformly Persistent Dynamical Systems , 2005, SIAM J. Math. Anal..

[56]  H. Weinberger On spreading speeds and traveling waves for growth and migration models in a periodic habitat , 2003 .

[57]  Xiao-Qiang Zhao,et al.  Dynamical systems in population biology , 2003 .

[58]  K. Schumacher Travelling-front solutions for integro-differential equations. I. , 1980 .

[59]  M. Ledwidge,et al.  Run for your life. , 1979, Geriatrics.