In press or accepted (send me an email if you are interested in
any of these):
Effect of impulsive controls in a model system for age-structured population over a patchy environment (with Z. Yang and C. Huang),
J Math. Biol. accepted
Pattern formation of a predator-prey model with the cost of anti-predator behaviors
(with X. Wang),
Math. Biol. Eng., to appear.
Existence of an extinction wave in the Fisher equation with a shift habitat (with H. Hu), Proc. AMS 145(2017), 4763-4771
Analysis of an age structured HIV infection model with virus-to-cell infection and cell-to-cell transmission (with J. Wang and J. Lang),
Nonlin. Anal. RWA, 34(2017),75-96
Asymptotic profiles of steady states for a diffusive SIS epidemic model with mass action infection mechanism (with Y. Wu),
J. Diff. Eqns., 261(2016), 4424-4447.
Impact of early treatment programs on HIV epidemics: an immunity-based mathematical model (with Ashrafur Rahman and Naveen K Vaidya),
Math. Biosci., 280(2016), 38-49.
Impact of spring bird migration on the range expansion of Ixodes scapularis tick population (with X. Wu and G. Rost),
Bull. Math. Biol. 78(2016), 138-168.
Impact of Tenofovir gel as PrEP on HIV infection: A mathematical model
(with S. M. A. Rahman and N. K. Vaidya),
J. Theor. Biol., 347(2014), 151-159.
On the basins of attraction for a class of delay differential equations with non-monotone bistable nonlinearities (with C.X. Huang, Z.C. Yang and T.S. Yi),
J. Diff. Eqns., 256(2014), 2101-2114.
Transient oscillatory patterns in the diffusive non-local;
blowfly equation with delay under zero-flux boundary condition (with Y. Su),
Nonlineariy, 27(2014), 87-104.
Spatiotemporal dynamics in a diffusive ratio-dependent predator-prey model near a
Hopf-Turing bofurcation point (with Yongli Song),
Comp. Math. Appl., 67(2014), 1978-1997.
Charging and discharging electrochemical supercapacitors in the presence of both parallel leakage process and electrochemical decomposition of solvent
(with S. Ban et al),
Electrochimica Acta, 90(2013), 542-549.
Global threshold dynamics in an HIV virus model with nonlinear infection rate and distributed invasion and production delays (with Z. Yuan),
Math. Biosci. Eng., 10(2013), 483-498.
Threshold dynamics of an infective disease model with a fixed
latent period and non-local infections (with Z.M. Guo and F.-B. Wang),
J. Math. Biol., 65(2012), 1387-1410.
Existence and uniqueness of positive solution to a non-local
differential equation with homogeneous
Dirichlet boundary condition---A non-monotone case (with Z. Guo and Z. Yang), Commun. Pure Appl. Anal., 11(2012), 1825-1838.
Transmission dynamics of the
recently-identified BYD virus causing duck egg-drop syndrome (with Naveen
Vaidya, Feng-bin Wang and Lindi Wahl),
PLoS ONE 7(4)(2012): e35161
A mathematical model for the control and eradication
of a wood boring beetle infestation (with S. Gourley),
SIAM Rev. 53(2011), 321-345. .
This is a republication of
SIAM J. Appl. Math., 68(2008), 1665-1687, selected by SIAM Review as a
"SIGEST" paper. This paper also won
A Nugget from SIAM in 2009.
Global threshold property in an epidemic model for disease with latency spreading in
a heterogeneous host population (with Z. Yuan),
Nonlin. Anal. RWA, 11(2010), 3479-3490. .
Wave fronts in neuronal fields with nonlocal
post-synaptic axonal connections and delayed nonlocal feedback
connections (with F. Magpantay),
Math. Biol. Eng., 7(2010), 421-442.
Dynamics of an epidemic model with non-local infections for
diseases with latency over a patch environment (with J. Li),
J. Math. Biol., 60(2010), 645-686.
Rich dynamics in a non-local population model over three patches
(with P. Weng and C. Xiao), Nonlinear Dynamics,
59(2010), 161-172.
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Existence and global exponential stability of periodic solution to a
class of functional differential equations (with X. Tang),
Nonlinearity, 22(2009), 2423–2442.
Impact of dispersion on dynamics of a discrete metapopulation
model (with Y. Huang), Open Systems and Information
Dynamics, 14 (2007), 379-396.
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Modeling diseases with latancy and relapse (with P. van den
Driessche and L. Wang), Mathemaical Biosciences and
Engineering, 4(2007), 205-219.
@
Modeling relapse in infectious diseases (with P. van den
Driessche), Mathematical Biosciences, 207(2007),
89-103.
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Asymptotic speed of propagation and traveling wavefronts in a
non-local delayed lattice differential equation (with S. Ma and P. Weng),
Nonl. Anal. TMA., 65 (2006), 1858-1890
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Global attractivity of positive periodic solution to periodic Lotka-Volterra competition systems with pure delay (with X. H. Tang and D. Cao),
J. Differential Equtions, 228(2006), 580-610.
@
Birfurcation analysis of a population model and the resulting SIS epidemic model with delay (with J. Wei), J Comp. Appl. Math.
{\bf 197}(2006), 169-187.
@
On positive periodic solutions of
Lotka-Volterra competition systems with deviating arguments (with X. H. Tang),
Proc. Amer. Math. Soc. 134(2006), 2967-2974.
@
Traveling wave solutions in delayed reaction diffusion systems with partial monotonicity (with J. Huang), Acta Mathematicae
Applicatae Sinica, 22(2006), 243-256.
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On dynamics of generalized competitive and cooperative systems,
(L. Huang and T. Yi), Tohoku Mathematical Journal,
58(2006), 89-100.
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Permanence for a class of nonlinear difference systems (with B. Dai),
Discrete Dynamics In Nature and Society,
2006 (2006), 1-10.
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Co-existence of chaos and stable periodic orbits in a simple discrete
neural network, (with Y. Huang),
J. Nonlinear Sciences. 15(2005), 291--303.
@
Existence, uniqueness and stability of traveling
waves in a discrete reaction-diffusion monostable equation with delay (with S. Ma),
J. Differential Equations, 217(2005), 54-87.
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Bifurcation analysis of bidirectional associate memory
neural network with self-conncention (with L. Wang),
Intern. J. Bifurc. Chaos, 15(2005), 2145-2159.
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Dynamics in numerics: on two different finite
difference schemes for ODEs (with Y. Huang),
J. Compt. Appl. Math., 181 (2005), 388-403.
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Propagation and Its Failure in A Lattice Delayed Differential
Equation with Global Interaction (with S. Ma),
J Differential Equations. 212 (2005), 129-190.
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Periodic solutions of second order self-adjoint difference equations
(with J. Yu and Z. Guo),
J. London Math. Soc. 71 (2005), 146--160.
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Existence of traveling wave fronts of delayed lattice differential
equations (with J.H. Huang and G. Lu), J Math. Anal. Appl. 298 (2004), 538-558.
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Global attractivity for non-autonomous linear delat systems
(with J. So and X.H. Tang), Funkcialaj Ekvacioj, 47(2004), 25-40.
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Exponential stability of delay difference equations with
applications to neural networks (with L. Wang),
Fields Institute Communications, 42 (2004), 335-347.
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Hopf bifurcation in bi-directional associative
memory neural networks with delays: analysis and computation (with
L. Wang),J. Comput. Appl. Math., 167 (2004), 73-90.
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Capacity of stable periodic solutions in discrete-time bidirectional
associate memory neural networks (with L. Wang),
[IEEE Trans. Circ. Syst---II: Express Briefs, 51 (2004), 315-319.
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Multiple periodic patterns via discrete neural nets with delayed feedback
loops (with J. Wu and R. Zhang),
Int. J. Bif. Chaos, 14(2004), 2915-2923.
Global asymptotic stability of a class of non-autonomous
integro-differential systems and applications (with M. Fan),
Nonlin. Anal. TMA, 57(2004), 111-135.
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Stability of linear neutral systems with multiple delays:
boundary criteria (with G-D. Hu and G.-D. Hu), Appl. Math. Comp.148 (2004), 707-715.
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Population dynamic models with nonlocal delay on bounded fields and
their numeric computations (with D. Liang, J. So and F. Zhang),
Diff. Eqns. Dynam. Syst. 11 (2003), 117-139.
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Stability of scalar delay differential equations with dominant
delayed terms (with X. H. Tang), Proc. Roy. Soc. Edinb. A, 133 (2003), 951-968.
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Global attractivity of non-autonomous Lotka-Volterra competition
system without instantaneous negative feedbacks (with X. H. Tang),
J. Differential Equaitons, 192 (2003), 502-535.
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Stable periodic solutions in a discrete periodic
logistic equation (with Z. Zhou),
Appl.Math. Lett. 16 (2003), 165-171.@
Dynamics of a non-autonomous ratio-dependent predator-prey
system (with M. Fan and Q. Wang),
Proc. Royal Soc. Edinb. A, 133 (2003), 97-118.
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3/2 type criteria for global attractivity of Lotka-Volterra
discrete
system with delays (with X. H. Tang and L Wang),
Fields Institute Communications, 36 (2003),
229-245.@
Existence of traveling wavefronts of delayed reaction diffusion
systems without monotonicity (with J. H. Huang),
Disc. Conti.Dynam Syst. A, 9 (2003), 925-936.
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A 3/2 stability result for the Logistics equation
with two delays (with X. Li and Z. Wang), Commun. Appl.
Anal., 7 (2003), 193-202.
Periodic traveling waves in reaction diffusion systems with
delays, (with Z.C. Wang and Z.Q. Zhang),
Dynam. Conti. Disc. Impuls. Syst. Ser. A, 10(2003), 59-74.
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3/2-type criteria for global attractivity of Lotka-Volterra competition
system without instantaneous negative feedbacks (with X.-H. Tang),
J. Differential Equations, 186(2002), 420-439.
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Harmless delay in Cohn-Grossburg neural network
(with L. Wang), Physica D, 170 (2002), 162-173.
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Delay induced traveling wave fronts in reaction diffusion
equations of KPP-Fisher type,
J. Comput. Appl. Math., 146 (2002), 309-321.
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Periodic solutions of neutral functional
differential equations
(with L. Wang and Z. Wang),
J. London Math. Soc., 65 (2002), 439-452.
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Exponential stability of Cohn-Grossburg neural network
(with L. Wang),
Neural Networks, 15 (2002), 415-422.@
Traveling Wavefronts in Diffusive and Cooperative
Lotka-Volterra System with Delays (with J. Huang),
J. Math. Anal. Appl., 271 (2002), 455-466.
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A 3/2 stability result for a regulated logistic growth
(with X. H. Tang),
Disc. Conti. Dynam. Syst. Ser. B, 2 (2002), 265-278.
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Asymptotic stability of a neutral differential equation
(with X. Tang), Proc. Edinb. Math. Soc., 45 (2002), 333-347.
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Stability in linear delay systems without instantaneous
negative feedbacks (with J. So and X. H. Tang),
SIAM J Math. Anal.,33 (2002), 1297-1340.@
A reaction diffusion model for a single species with
age structure ---I. Traveling wave fronts on unbounded domains
(with J. So and J. Wu),
Proc. Royal Soc. London. A, 457(2001), 1841-1854.
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Threshold dynamics in a delayed SIS epidemic model
(with X.-Q. Zhao),
J. Math. Anal. Appl., 257(2001), 282-291.
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Stabilization role of inhibitory self-connections in a delayed
neural network (with P. van den Driessche and J. Wu),
Physica D., 150(2001), 84-90.
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Traveling wave front solutions in reaction-diffusion
systems with delay (with J. Wu),
J. Dynamics and Differential Equations, 13(2001), 651-687.
@ Erratum: J. Dynamics and Differential Equations, 20(2008), 531-533.
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Structured population on two patches: modeling dispersal
and delay (with J. So and J. Wu),
J. Math. Biol., 43(2001), 37-51.@
Oscillation of delay difference equations: near
a critical case (with Z.C. Wang and R. Y. Zhang),
Dynam. Conti. Disc. Impuls. Syst. Ser. A., 9 (2001), 89-104.
Stabilization role of self-inhibitory connections in
Cohn-Grossberg neural
networks with general activation functions (with L. Wang),
Diff. Eqns. Dynam. Syst., 9 (2001), 341-352.
Traveling waves for the diffusive Nicholson's
blowflies equation (with J. H.-W., So)
Appl. Math. Comput. 122 (2001), 385--392.
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Interaction of maturation delay and nonlinear birth in population
and epidemic models (with K. Cooke and P. van den Driessche),
J.Math. Biol., 39(1999), 332-352.
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Global attractivity in delayed Hopfield neural network models
(with P. van den Driessche), SIAM J.
Appl.Math., 58:6(1998), 1978-1890.
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Local existence and stability of periodic traveling waves of
lattice functional differential equations (with J. Wu),
Canad. Appl. Math. Quart., 6:4(1998), 397-416.
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Dynamics of single species populations over a patchy
environment (with X. He and J. Wu), in Advanced Topics in
Biomathematics, L. Chen et al eds., pp. 63-77, World Scientific,
Singapore, 1998.
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Existence of traveling wave fronts in
delayed reaction-diffusion systems
via monotone iteration method (with J. Wu),
Proc. Amer. Math. Soc., 125(1997), 2589-2598.
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Asymptotic and periodic boundary value problems of mixed FDEs and
wave solutions of lattice functional differential equations
(with J. Wu),
J. Differential Equations, 135(1997), 315-357.
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Traveling wave fronts in spatially discrete reaction-diffusion
equations on higher dimensional lattices , in Differential
Equations and Computational Simulations III,
J. Graef et al eds,
Electronic Journal of Differential Equations,
Conference 01 (1997), pp.211-222.@
Local-nonlocal interaction and spatio-temporal patterns in
single-species population over a patch environment (with N.
Madras and J. Wu), Canad. Appl. Math. Quart., 4:1(1996), 109-134.
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On a hyperlogistical delay
equation (with J. Yu and J. Wu), J. Glasgow Math., 38(1996),
255-261.
Phase-locked oscillations in predator-prey communities over
heterogeneous spaces (with J. Wu and J. Wei),
Acta Mathematica Sinica, 39:4(1996), 566-573.
Allee effect and Hopf Bifurcations in single-species
populations over a patch environment (with J. Wu),
J. Dynamical System and Applications, Vol. 2 (Atlanta, GA, 1995), 577-
584, Dynamic, Atlanta, GA, 1996.
Direction and stability of delay bifurcating periodic solutions
in predator-prey systems with discrete delay (with Q. Huang, J. Wei
and J. Wu),
Lecture Notes in Pure and Applied Mathematics,
Vol.176, pp 107-119, Marcel-Dekker, 1996.
Patterns of sustained oscillations in
neural networks with delayed interactions (with J. Wu),
Appl. Math. Comput., 73(1995), 55-75.
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On the boundedness of the generalized
Lienard systems without the signum condition (with L. Huang),
Math. Japonica, 42:2(1995), 283-292.
Comparison theorems concerning the oscillation of
higher order functional differential equations with middle terms,
Funkcialaj Ekvacioj, 37:1(1994), 45-57.
@
Comments on `Euclidean null-controlability of linear
systems with distributed delays in control', IEEE Trans. Automat.
Control, 38:3(1993), p510.
A mathematical model for Allee effect
in single-species dynamics of animals and behavior of solutions
to the model, J. Biomath., 7:1(1992) 95-98.
Asymptotics behavior of first
order linear neutral differential equations (with Z. Wang and
J. Yu), Ann. Diff. Eqns., 8:2(1992), 200-203.
Determination of the smallest constraints for the
control of the linear controled systems ,
Hunan Ann. Math., 8:1(1991), 128-136.
Oscillation and asymptotic behavior of solutions of
Nth-order functional differential equations with middle terms,
Ann. Diff. Eqns., 7:4(1991), 494-510.
Necessary and sufficient conditions for the oscillation of all
unbounded solutions (with K.Farrel, G.Ladas and Z.Wang),
J. Math. Phy. Sci.,24:6(1990), 351-361.
Necessary and sufficient conditions for oscillation
of solutions of first order linear difference-differential
equations, J. Hunan University, 17:3(1990), 113-120.
Oscillatory behavior of solutions of biological
models with delays,
J. Central-South Forestry University, 10:2(1990), 143-147.