Publications in Math Reviews
(The
following manuscripts can be downloaded from
Researchgate.net)
PREPRINTS:
l (with X. Sheng and Y. Zhang), Birkhoff center and statistical
behavior of competitive dynamical systems, 26p., submitted. (arXiv:2311.07038v1)
l (with L. Niu), Generic behavior of differentially positive
systems on a globally orderable Riemannian manifolds, 28p., submitted. (arXiv:
2405.11434v1).
l (with T. Hou and X.-Q. Zhao), Propagation properties for a
class of cooperative systems in a periodic shifting environment, 36p.,
submitted.
l (with T. Hou and X.-Q. Zhao), Spatio-temporal
dynamics for cooperative reaction-diffusion systems with asymptotic
annihilation, 29p. submitted.
IN PRESS：
l (with L. Niu and X. Xie), The dynamics of three-dimensional Lotka-Volterra competition models with seasonal succession: I. Classification of dynamics, SIAM J. Appl. Math., in press.
l (L. Feng and J. Wu), Pesudo-ordered principle for smooth flows monotone with respect to higher rank cones, Discrete Contin. Dyn. Syst. A, in press.
PUBLICATIONS:l (with J. Yao and Y. Zhang), Prevalent behavior and almost sure Poincare-Bendixson Theorem for smooth flows with invariant k-cones, J. Dyn. Diff. Eqns., 36(2024), 2645–2656.
l (with T. Hou and X.-Q. Zhao) , Propagation dynamics of cooperative reaction-diffusion systems in a periodic shifting environment, J. Differential Equations 379 (2024), 468-496.
l (with J. Yao), Nonexistence of observable chaos and its robustness in strongly monotone dynamical systems, Stoch. & Dyn. 22(2022), no.8, Paper No. 2240040.
l (with L. Feng and J. Wu), Generic convergence to periodic orbits for monotone flows with respect to 2-cones and applications to SEIRS-models, SIAM J. Appl. Math. 82(2022), 1829-1850.
l (with J. Yao), Sharpened dynamics alternative and its C^1-robustness for strongly monotone discrete dynamical systems, J. Funct. Anal. 283 (2022), no. 4, Paper No. 109538.
l (with
W. Shen and D. Zhou),
Almost automorphically forced flows on S1 or R1 in one-dimensional almost periodic semilinear heat equations, Sci. China Math. 65(2022),
1875-1894.
l (with
J. Yao), Almost automorphy of minimal sets for C^1-smooth strongly monotone
skew-product semiflows, J. London Math. Soc. 105(2022), 621-638.
l (with J. Yao and Y. Zhang), Prevalent Behavior of Smooth
Strongly Monotone Discrete-Time Dynamical Systems, Proc. Amer. Math. Soc.
150(2022), 2617-2627.
l (with W. Shen and D.
Zhou), Non-wandering
points for autonomous/periodic parabolic equations on the circle, J. Differential Equations 297 (2021),
110-143.
l (with L. Feng and J. Wu), Generic behavior of flows
strongly monotone with respect to high-rank cones, J. Differential Equations 275 (2021),
858-881.
l (with W. Shen and D. Zhou), Almost
automorphically and almost periodically forced circle flows of almost periodic
parabolic equations on S^1, J. Dyn. Diff. Eqns
32(2020), 1687-1729.
l (with J. Yao), Dynamics Alternatives and generic convergence for
C1-smooth strongly monotone discrete dynamical systems, J. Differential Equations 269(2020), 9804-9818. (Dedicated to Professor Jifa Jiang on the occasion of his 65th birthday)
l (with S.-B. Hsu and H. Zhou), Analysis of a mathematical model
arising from Barnacle-Algae-Mussel interactions, SIAM J. Appl. Math. 79(2019),
2032-2053.
l (with W. Shen and D. Zhou), Long-time
behavior of almost periodically forced parabolic equations on the circle,
J. Differential Equations 266(2019), 1377-1413.
l (with L. Niu), Non-Oscillation Principle for Eventually Competitive and Cooperative Systems, Discrete Contin. Dyn. Syst. -B. 24(2019), 6481-6494.
l (with J. Xiao and D. Zhou), Spatial-homogeneity of stable solutions of almost-periodic parabolic equations with concave nonlinearity, Proc. Amer. Math. Soc. 147(2019), 533–2543.
l (with D. Zhou), Transversality for Cyclic Negative Feedback Systems, J. Dyn. Diff. Eqns. 29(2017), 863-876.
l (with Z. Lian), On Linear random dynamical systems in a Banach space: I. Multiplicative Ergodic Theorem and Krein-Rutmann type Theorems, Adv. Math. 312(2017), 374-424.
l (with L. Feng and J. Wu), Monotone semiflows with respect to high-rank cones on a Banach Space, SIAM J. Math. Anal., 49(2017), 142-161.
l (With F. Cao and M. Gyllenberg), Group actions on monotone skew-product semiflows with applications, J. Eur. Math. Soc. (JEMS) 18(2016), 195-223.
l (with W. Shen and D. Zhou), Structure of Omega-limit Sets for Almost-periodic Parabolic Equations on S^1 with Reflection Symmetry, J. Differential Equations 261 (2016), 6633-6667.
l (with J. Jiang and L. Niu), On the Heteroclinic Cycles of the Competitive Maps via Carrying Simplex, J. Math. Biol. 72(2016), 939-972.
l (with Z. Lian), k-dimensional
invariant cones of random dynamical systems in $R^n$
with applications, J. Differential
Equations 259 (2015), 2807-2832.
l (with C. Fang and M. Gyllenberg),
Non-hyperbolic minimal sets for tridiagonal competitive-cooperative systems,
Proc. Amer. Math. Soc., 143(2015), 3063-3074.
l (With C. Fang and M. Gyllenberg), Floquet bundles for tridiagonal competitive-cooperative
systems and the dynamics of time-recurrent systems, SIAM J. Math. Anal.,
45(2013), 2477-2498.
l (With Q. Liu), Phase-translation group actions on strongly
monotone skew-product semiflows, Trans. Amer. Math.
Soc., 364(2012),
3781-3804.
l (With F. Cao and M. Gyllenberg),
Asymptotic behavior of Comparable
Skew-Product Semiflows with Applications, Proc.
l (with J. Jiang and J. Mierczynski)
Smoothness of the Carrying Simplex for Discrete-time Competitive
Dynamical Systems: A Characterization of Neat Embedding, J. Differential
Equations, 246(2009),
1623-1672.
l Asymptotic Symmetry in strongly monotone skew-product semiflows with applications, Nonlinearity, 22(2009), 765-782.
l (with C. Zheng) Normal and slow growth states of microbial populations in essential resource-based chemostat, Discrete Contin. Dyn. Syst. B., 12(2009), 227-250.
l (with W.-X. Shen) Carrying Simplices in nonautonomous and random Competitive Kolmogorov Systems, J. Differential Equations, 245(2008), 1-29.
l (with O. Diekmann and P. Yan) Carrying Simplices in discrete competitive systems and age-structured semelparous populations, Discrete Contin. Dyn. Syst. A, 20 (2008), 37-52.
l Dynamics of nonautonomous tridiagonal competitive-cooperative systems of differential equations, Nonlinearity, 20 (2007), 831-843.
l (with M. Gyllenberg and P. Yan) Limit cycles for the competititor-competitior-mutualist Lotka-Volterra systems, Physica D, 221 (2006), 135-145.
l (with M. Gyllenberg and P. Yan) A 3D competitive Lotka–Volterra system with three limit cycles: A falsification of a conjecture by Hofbauer and So , Applied Mathematics Letters, 19 (2006), 1-7.
l (with M. Gyllenberg) Periodic tridiagonal systems modeling competitive-cooperative ecological interactions, Discrete Contin. Dyn. Syst. B (2005), 289-298.
l (with M. Gyllenberg) Dynamics of the periodic type-K competitive Kolmogorov systems J. Differential Equations, 205 (2004), 50-76.
l (with M. Gyllenberg and J. Jiang) The asymptotic spatial homogeneity in a class of periodic quasimonotone reaction-diffusion systems, Nonlinear Analysis, 59(2004), 235-244.
l ( with J. Jiang) On the $\omega$-limit set dichotomy of cooperating Kolmogorov systems, Positivity 7 (2003), 185--194.
l ( with X.-Q. Zhao) Convergence in monotone and subhomogeneous discrete
dynamical systems on product Banach spaces, Bull.
London Math. Soc. 35 (2003), 681--688.
l ( with J. Jiang) Uniqueness and attractivity of the carrying simplex for
discrete-time competitive dynamical systems, J.
Differential Equations 186 (2002), 611--632.
l Convergence to periodic solutions in periodic quasimonotone
reaction-diffusion systems. J. Math. Anal.
Appl. 268 (2002),25--40.
l ( with
J. Jiang) The long-run behavior of periodic competitive
Kolmogorov systems, Nonlinear Anal. Real
World Appl. 3 (2002), 471--485.
l ( with J.Jiang ) The general properties
of discrete-time competitive dynamical systems, J. Differential Equations 176 (2001),
470--493.
l ( with J. Jiang) The convergence of a class of quasimonotone
reaction-diffusion systems, J. London Math. Soc. (2)
64 (2001),395--408.
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