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  1. A new way of investigating the asymptotic behaviour of a stochastic SIS system with multiplicative noise

    Article • Applied Mathematics Letters, January 2019, Elsevier

    Tonghua Zhang

  2. Global dynamics of a reaction–diffusion waterborne pathogen model with general incidence rate

    Article • Journal of Mathematical Analysis and Applications, October 2018, Elsevier

    Tonghua Zhang

  3. Sensitivity analysis and feedback control of noise-induced extinction for competition chemostat model with mutualism

    Article • Physica A Statistical Mechanics and its Applications, September 2018, Elsevier

    Tonghua Zhang

  4. Average break-even concentration in a simple chemostat model with telegraph noise

    Article • Nonlinear Analysis Hybrid Systems, August 2018, Elsevier

    Tonghua Zhang

  5. Spatio-temporal dynamics near the steady state of a planktonic system

    Article • Computers & Mathematics with Applications, June 2018, Elsevier

    Tonghua Zhang

  6. Persistence and ergodicity of a stochastic single species model with Allee effect under regime switching

    Article • Communications in Nonlinear Science and Numerical Simulation, June 2018, Elsevier

    Tonghua Zhang

  7. Turing–Hopf bifurcations in a predator–prey model with herd behavior, quadratic mortality and prey-taxis

    Article • Physica A Statistical Mechanics and its Applications, April 2018, Elsevier

    Tonghua Zhang

  8. Bistability and delay-induced stability switches in a cancer network with the regulation of microRNA

    Article • Communications in Nonlinear Science and Numerical Simulation, January 2018, Elsevier

    Tonghua Zhang

  9. Exact Torus Knot Periodic Orbits and Homoclinic Orbits in a Class of Three-Dimensional Flows Generated by a Planar Cubic System

    Article • International Journal of Bifurcation and Chaos, December 2017, World Scientific Pub Co Pte Lt

    Tonghua Zhang

  10. Hopf Bifurcation Analysis of a Gene Regulatory Network Mediated by Small Noncoding RNA with Time Delays and Diffusion

    Article • International Journal of Bifurcation and Chaos, December 2017, World Scientific Pub Co Pte Lt

    Tonghua Zhang

  11. The effects of toxin-producing phytoplankton and environmental fluctuations on the planktonic blooms

    Article • Nonlinear Dynamics, December 2017, Springer Science + Business Media

    Tonghua Zhang

  12. Exact solitons, periodic peakons and compactons in an optical soliton model

    Article • Nonlinear Dynamics, November 2017, Springer Science + Business Media

    Tonghua Zhang

  13. Dynamics analysis and numerical simulations of a stochastic non-autonomous predator–prey system with impulsive effects

    Article • Nonlinear Analysis Hybrid Systems, November 2017, Elsevier

    Tonghua Zhang

  14. A Delayed Virus Infection Model with Cell-to-Cell Transmission and CTL Immune Response

    Article • International Journal of Bifurcation and Chaos, September 2017, World Scientific Pub Co Pte Lt

    Tonghua Zhang

  15. Bogdanov–Takens and Triple Zero Bifurcations of Coupled van der Pol–Duffing Oscillators with Multiple Delays

    Article • International Journal of Bifurcation and Chaos, August 2017, World Scientific Pub Co Pte Lt

    Tonghua Zhang

  16. Persistence and ergodicity of plant disease model with markov conversion and impulsive toxicant input

    Article • Communications in Nonlinear Science and Numerical Simulation, July 2017, Elsevier

    Tonghua Zhang

  17. Optimal control strategy for an impulsive stochastic competition system with time delays and jumps

    Article • Physica A Statistical Mechanics and its Applications, July 2017, Elsevier

    Tonghua Zhang

  18. Stability analysis of a chemostat model with maintenance energy

    Article • Applied Mathematics Letters, June 2017, Elsevier

    Tonghua Zhang

  19. Bifurcations and Exact Solutions of the Equation of Barotropic FRW Cosmologies

    Article • International Journal of Bifurcation and Chaos, May 2017, World Scientific Pub Co Pte Lt

    Tonghua Zhang

  20. Global stability of a discrete multigroup SIR model with nonlinear incidence rate

    Article • Mathematical Methods in the Applied Sciences, April 2017, Wiley

    Tonghua Zhang

  21. GLOBAL STABILITY OF THE POSITIVE EQUILIBRIUM OF A MATHEMATICAL MODEL FOR UNSTIRRED MEMBRANE REACTORS

    Article • Bulletin of the Korean Mathematical Society, March 2017, The Korean Mathematical Society

    Tonghua Zhang

  22. Stochastic periodic solution of a non-autonomous toxic-producing phytoplankton allelopathy model with environmental fluctuation

    Article • Communications in Nonlinear Science and Numerical Simulation, March 2017, Elsevier

    Tonghua Zhang

  23. Dynamics analysis of a pest management prey–predator model by means of interval state monitoring and control

    Article • Nonlinear Analysis Hybrid Systems, February 2017, Elsevier

    Tonghua Zhang

  24. Dynamics analysis and control optimization of a pest management predator–prey model with an integrated control strategy

    Article • Applied Mathematics and Computation, January 2017, Elsevier

    Tonghua Zhang

  25. Global dynamics of a predator–prey model with defense mechanism for prey

    Article • Applied Mathematics Letters, December 2016, Elsevier

    Tonghua Zhang

  26. Hopf Bifurcation and Delay-Induced Turing Instability in a Diffusive lac Operon Model

    Article • International Journal of Bifurcation and Chaos, September 2016, World Scientific Pub Co Pte Lt

    Tonghua Zhang

  27. Stochastic Sensitivity Analysis for a Competitive Turbidostat Model with Inhibitory Nutrients

    Article • International Journal of Bifurcation and Chaos, September 2016, World Scientific Pub Co Pte Lt

    Tonghua Zhang

  28. Theoretical study and control optimization of an integrated pest management predator–prey model with power growth rate

    Article • Mathematical Biosciences, September 2016, Elsevier

    Tonghua Zhang

  29. Nonstandard finite difference scheme for a diffusive within-host virus dynamics model with both virus-to-cell and cell-to-cell transmissions

    Article • Computers & Mathematics with Applications, August 2016, Elsevier

    Tonghua Zhang

  30. The stationary distribution and ergodicity of a stochastic phytoplankton allelopathy model under regime switching

    Article • Communications in Nonlinear Science and Numerical Simulation, August 2016, Elsevier

    Tonghua Zhang

  31. Turing–Hopf bifurcation analysis of a predator–prey model with herd behavior and cross-diffusion

    Article • Nonlinear Dynamics, June 2016, Springer Science + Business Media

    Tonghua Zhang

  32. Turing–Hopf bifurcation in the reaction–diffusion equations and its applications

    Article • Communications in Nonlinear Science and Numerical Simulation, April 2016, Elsevier

    Tonghua Zhang

  33. Turing instability and pattern induced by cross-diffusion in a predator-prey system with Allee effect

    Article • Applied Mathematics and Computation, February 2016, Elsevier

    Tonghua Zhang

  34. DYNAMIC ANALYSIS OF A MODIFIED STOCHASTIC PREDATOR-PREY SYSTEM WITH GENERAL RATIO-DEPENDENT FUNCTIONAL RESPONSE

    Article • Bulletin of the Korean Mathematical Society, January 2016, The Korean Mathematical Society

    Tonghua Zhang

  35. Geometric analysis of a pest management model with Holling’s type III functional response and nonlinear state feedback control

    Article • Nonlinear Dynamics, January 2016, Springer Science + Business Media

    Tonghua Zhang

  36. Dynamics of a novel nonlinear stochastic SIS epidemic model with double epidemic hypothesis

    Article • Journal of Mathematical Analysis and Applications, January 2016, Elsevier

    Tonghua Zhang

  37. Existence of periodic solutions of a continuous flow bioreactor model with impulsive control in microorganisms

    Article • Journal of Applied Mathematics and Computing, December 2015, Springer Science + Business Media

    Tonghua Zhang

  38. Periodic solution of a prey–predator model with nonlinear state feedback control

    Article • Applied Mathematics and Computation, September 2015, Elsevier

    Tonghua Zhang

  39. Bifurcation analysis of a mathematical model for genetic regulatory network with time delays

    Article • Applied Mathematics and Computation, June 2015, Elsevier

    Tonghua Zhang

  40. Delay-Induced Double Hopf Bifurcations in a System of Two Delay-Coupled van der Pol–Duffing Oscillators

    Article • International Journal of Bifurcation and Chaos, April 2015, World Scientific Pub Co Pte Lt

    Tonghua Zhang

  41. Evolutionary analysis of a predator–prey community under natural and artificial selections

    Article • Applied Mathematical Modelling, January 2015, Elsevier

    Tonghua Zhang

  42. Global Dynamics of a Virus Dynamical Model with Cell-to-Cell Transmission and Cure Rate

    Article • Computational and Mathematical Methods in Medicine, January 2015, Hindawi Publishing Corporation

    Tonghua Zhang

  43. Stability and Bifurcation Analysis of Differential Equations and Its Applications

    Article • Abstract and Applied Analysis, January 2015, Hindawi Publishing Corporation

    Tonghua Zhang

  44. Delay-induced Turing instability in reaction-diffusion equations

    Article • Physical Review E, November 2014, American Physical Society (APS)

    Tonghua Zhang

  45. Stability and Hopf bifurcation in a model of gene expression with distributed time delays

    Article • Applied Mathematics and Computation, September 2014, Elsevier

    Tonghua Zhang

  46. Periodic solution of a pest management Gompertz model with impulsive state feedback control

    Article • Nonlinear Dynamics, June 2014, Springer Science + Business Media

    Tonghua Zhang

  47. Spatio-temporal dynamics of a reaction-diffusion system for a predator–prey model with hyperbolic mortality

    Article • Nonlinear Dynamics, May 2014, Springer Science + Business Media

    Tonghua Zhang

  48. Bifurcation of limit cycles from a heteroclinic loop with two cusps

    Article • Chaos Solitons & Fractals, May 2014, Elsevier

    Tonghua Zhang

  49. Adaptive dynamics for a non-autonomous Lotka–Volterra model with size-selective disturbance

    Article • Nonlinear Analysis Real World Applications, April 2014, Elsevier

    Tonghua Zhang

  50. Dynamical analysis of a stochastic model for cascaded continuous flow bioreactors

    Article • Journal of Mathematical Chemistry, February 2014, Springer Science + Business Media

    Tonghua Zhang

  51. Periodic Solutions and Asymptotic Analysis of Ordinary Differential Equations

    Article • Abstract and Applied Analysis, January 2014, Hindawi Publishing Corporation

    Tonghua Zhang

  52. SVEIRS: A New Epidemic Disease Model with Time Delays and Impulsive Effects

    Article • Abstract and Applied Analysis, January 2014, Hindawi Publishing Corporation

    Tonghua Zhang

  53. Stability and Hopf Bifurcation Analysis of a Gene Expression Model with Diffusion and Time Delay

    Article • Abstract and Applied Analysis, January 2014, Hindawi Publishing Corporation

    Tonghua Zhang

  54. On the number of limit cycles of a class of polynomial systems of Liénard type

    Article • Journal of Mathematical Analysis and Applications, December 2013, Elsevier

    Tonghua Zhang

  55. Stability and bifurcation analysis of delay coupled Van der Pol–Duffing oscillators

    Article • Nonlinear Dynamics, September 2013, Springer Science + Business Media

    Tonghua Zhang

  56. Spatial dynamics in a predator-prey model with herd behavior

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, September 2013, American Institute of Physics

    Tonghua Zhang

  57. A Stage-Structured Predator-Prey SI Model with Disease in the Prey and Impulsive Effects

    Article • Mathematical Modelling and Analysis, September 2013, Vilnius Gediminas Technical University

    Tonghua Zhang

  58. BIFURCATIONS OF LIMIT CYCLES FOR A PERTURBED CUBIC SYSTEM WITH DOUBLE FIGURE EIGHT LOOP

    Article • International Journal of Bifurcation and Chaos, April 2013, World Scientific Pub Co Pte Lt

    Tonghua Zhang

  59. Dynamics of a stochastic model for continuous flow bioreactor with Contois growth rate

    Article • Journal of Mathematical Chemistry, January 2013, Springer Science + Business Media

    Tonghua Zhang

  60. Asymptotic Behavior of a Chemostat Model with Stochastic Perturbation on the Dilution Rate

    Article • Abstract and Applied Analysis, January 2013, Hindawi Publishing Corporation

    Tonghua Zhang

  61. The stability and Hopf bifurcation analysis of a gene expression model

    Article • Journal of Mathematical Analysis and Applications, November 2012, Elsevier

    Tonghua Zhang

  62. Dynamics of a plasmid chemostat model with periodic nutrient input and delayed nutrient recycling

    Article • Nonlinear Analysis Real World Applications, October 2012, Elsevier

    Tonghua Zhang

  63. Long time behaviour of a stochastic model for continuous flow bioreactor

    Article • Journal of Mathematical Chemistry, September 2012, Springer Science + Business Media

    Tonghua Zhang

  64. Bifurcation and chaos in a pulsed plankton model with instantaneous nutrient recycling

    Article • Rocky Mountain Journal of Mathematics, August 2012, Rocky Mountain Mathematics Consortium

    Tonghua Zhang

  65. Global dynamics for a new high-dimensional SIR model with distributed delay

    Article • Applied Mathematics and Computation, August 2012, Elsevier

    Tonghua Zhang

  66. Global analysis of continuous flow bioreactor and membrane reactor models with death and maintenance

    Article • Journal of Mathematical Chemistry, May 2012, Springer Science + Business Media

    Tonghua Zhang

  67. Bifurcation, amplitude death and oscillation patterns in a system of three coupled van der Pol oscillators with diffusively delayed velocity coupling

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, April 2011, American Institute of Physics

    Tonghua Zhang

  68. Existence of travelling fronts in a diffusive vector disease model with spatio-temporal delay

    Article • Nonlinear Analysis Real World Applications, August 2010, Elsevier

    Tonghua Zhang

  69. Stabilization and algorithm of integrator plus dead-time process using PID controller

    Article • Journal of Process Control, October 2009, Elsevier

    Tonghua Zhang

  70. Stability Switches, Hopf Bifurcations, and Spatio-temporal Patterns in a Delayed Neural Model with Bidirectional Coupling

    Article • Journal of Nonlinear Science, May 2009, Springer Science + Business Media

    Tonghua Zhang

  71. Bifurcation analysis and spatio-temporal patterns of nonlinear oscillations in a delayed neural network with unidirectional coupling

    Article • Nonlinearity, March 2009, Institute of Physics Publishing

    Tonghua Zhang

  72. Bifurcations of a cubic system perturbed by degree five

    Article • Acta Mathematica Scientia, January 2009, Elsevier

    Tonghua Zhang

  73. Bifurcations and distribution of limit cycles for near-Hamiltonian polynomial systems

    Article • Journal of Mathematical Analysis and Applications, December 2008, Elsevier

    Tonghua Zhang

  74. Stability and multiple bifurcations of a damped harmonic oscillator with delayed feedback near zero eigenvalue singularity

    Article • Chaos An Interdisciplinary Journal of Nonlinear Science, December 2008, American Institute of Physics

    Tonghua Zhang

  75. High-resolution method for numerically solving PDEs in process engineering

    Article • Computers & Chemical Engineering, October 2008, Elsevier

    Tonghua Zhang

  76. Limit Cycles for the Kukles system

    Article • Journal of Dynamical and Control Systems, March 2008, Springer Science + Business Media

    Tonghua Zhang

  77. Wavelet-based collocation method for stiff systems in process engineering

    Article • Journal of Mathematical Chemistry, December 2007, Springer Science + Business Media

    Tonghua Zhang

  78. An investigation into the propagation characteristics of AE signals in PE/PE composite laminates

    Article • Insight - Non-Destructive Testing and Condition Monitoring, November 2007, British Institute of Non-Destructive Testing (BINDT)

    Tonghua Zhang

  79. ON THE NUMBER OF ZEROS OF THE ABELIAN INTEGRALS FOR A CLASS OF PERTURBED LIÉNARD SYSTEMS

    Article • International Journal of Bifurcation and Chaos, September 2007, World Scientific Pub Co Pte Lt

    Tonghua Zhang

  80. Wavelet approach incorporated with optimization for solving stiff systems

    Article • Journal of Mathematical Chemistry, August 2007, Springer Science + Business Media

    Tonghua Zhang

  81. Bifurcation of limit cycles near equivariant compound cycles

    Article • Science in China Series A Mathematics, April 2007, Springer Science + Business Media

    Tonghua Zhang

  82. Linear estimate of the number of limit cycles for a class of non-linear systems

    Article • Chaos Solitons & Fractals, February 2007, Elsevier

    Tonghua Zhang

  83. A new proof to Bautin’s theorem

    Article • Chaos Solitons & Fractals, January 2007, Elsevier

    Tonghua Zhang

  84. Comments on ‘The computation of wavelet-Galerkin approximation on a bounded interval’

    Article • International Journal for Numerical Methods in Engineering, January 2007, Wiley

    Tonghua Zhang

  85. The Number and Distributions of Limit Cycles for a Class of Quintic Near-Hamiltonian Systems

    Article • Computers & Mathematics with Applications, November 2006, Elsevier

    Tonghua Zhang

  86. On the zeros of the Abelian integrals for a class of Liénard systems

    Article • Physics Letters A, October 2006, Elsevier

    Tonghua Zhang

  87. Bifurcations of limit cycles in a cubic system with cubic perturbations

    Article • Applied Mathematics and Computation, May 2006, Elsevier

    Tonghua Zhang

  88. The number and distributions of limit cycles for a class of cubic near-Hamiltonian systems

    Article • Journal of Mathematical Analysis and Applications, April 2006, Elsevier

    Tonghua Zhang

  89. Bifurcations of limit cycles from quintic Hamiltonian systems with a double figure eight loop☆☆The work was supported in part by Australia Research Counsil under the Discovery Projects scheme (grant ID: DP0559111).

    Article • Bulletin des Sciences Mathématiques, January 2006, Elsevier

    Tonghua Zhang

  90. The number of limit cycles for a family of polynomial systems

    Article • Computers & Mathematics with Applications, June 2005, Elsevier

    Tonghua Zhang

  91. Perturbation from an asymmetric cubic Hamiltonian

    Article • Journal of Mathematical Analysis and Applications, May 2005, Elsevier

    Tonghua Zhang

  92. Bifurcations of limit cycles for a cubic Hamiltonian system under quartic perturbations

    Article • Chaos Solitons & Fractals, December 2004, Elsevier

    Tonghua Zhang

  93. ON THE NUMBER AND DISTRIBUTION OF LIMIT CYCLES IN A CUBIC SYSTEM

    Article • International Journal of Bifurcation and Chaos, December 2004, World Scientific Pub Co Pte Lt

    Tonghua Zhang

  94. Bifurcations of limit cycles in a cubic system

    Article • Chaos Solitons & Fractals, May 2004, Elsevier

    Tonghua Zhang

  95. THE ABELIAN INTEGRALS OF A ONE-PARAMETER HAMILTONIAN SYSTEM UNDER CUBIC PERTURBATIONS

    Article • International Journal of Bifurcation and Chaos, May 2004, World Scientific Pub Co Pte Lt

    Tonghua Zhang

  96. Overview of Applications and Developments in the Harmony Search Algorithm

    Article • Springer Science + Business Media

    Tonghua Zhang