Yang Kuang

Personal Home Page

http://math.la.asu.edu/~kuang/

Articles in Scholarly Journals [Incomplete List]

  1. A viral load-based cellular automata approach to modeling HIV dynamics and drug treatment
    Journal of Theoretical Biology, 2007
  2. Mathematical modeling and qualitative analysis of insulin therapies?
    Mathematical Biosciences, vol. 210, no. 1, pp. 17–33, 2007
  3. Analysis of a Model of the Glucose-Insulin Regulatory System with Two Delays
    SIAM Journal on Applied Mathematics, vol. 67, no. 3, p. 757, 2007
  4. Heteroclinic Bifurcation in the Michaelis–Menten-Type Ratio-Dependent Predator-Prey System
    SIAM Journal on Applied Mathematics, vol. 67, no. 5, p. 1453, 2007
  5. Dynamics of Stoichiometric Bacteria-Algae Interactions in the Epilimnion
    SIAM Journal on Applied Mathematics, vol. 68, no. 2, p. 503, 2007
  6. A SIMPLE SI MODEL WITH TWO AGE GROUPS AND ITS APPLICATION TO US HIV EPIDEMICS: TO TREAT OR NOT TO TREAT?
    Journal of Biological Systems, vol. 15, no. 02, p. 169, 2007
  7. Modeling the glucose–insulin regulatory system and ultradian insulin secretory oscillations with two explicit time delays
    Journal of Theoretical Biology, vol. 242, no. 3, pp. 722–735, 2006
  8. Rabbits killing birds revisited
    Mathematical Biosciences, vol. 203, no. 1, pp. 100–123, 2006
  9. Mathematical models and software tools for the glucose-insulin regulatory system and diabetes: an overview
    Applied Numerical Mathematics, vol. 56, no. 3-4, pp. 559–573, 2006
  10. Cats protecting birds revisited
    Bulletin of Mathematical Biology, vol. 67, no. 5, pp. 1081–1106, 2005
  11. Dynamics of a stoichiometric discrete producer-grazer model
    The Journal of Difference Equations and Applications, vol. 11, no. 4-5, pp. 347–364, 2005
  12. A Delay Reaction-Diffusion Model of the Spread of Bacteriophage Infection
    SIAM Journal on Applied Mathematics, vol. 65, no. 2, p. 550, 2004
  13. Dynamics of a nonautonomous predator?prey system with the Beddington?DeAngelis functional response
    Journal of Mathematical Analysis and Applications, vol. 295, no. 1, pp. 15–39, 2004
  14. Modeling and analysis of stoichiometric two-patch consumer–resource systems
    Mathematical Biosciences, vol. 189, no. 2, pp. 153–184, 2004
  15. Erratum to ?Modeling and analysis of stoichiometric two-patch consumer?resource systems' by C.R. Miller, Y. Kuang, W.F. Fagan and J.J. Elser 6Mathematical Biosciences 189 (2004) 153?1849
    Mathematical Biosciences, vol. 191, no. 1, p. 109, 2004
  16. Competition and stoichiometry: coexistence of two predators on one prey
    Theoretical Population Biology, vol. 65, no. 1, pp. 1–15, 2004
  17. A stage structured predator-prey model and its dependence on maturation delay and death rate
    Journal of Mathematical Biology, vol. 49, no. 2, 2004
  18. Deterministic extinction effect of parasites on host populations
    Journal of Mathematical Biology, vol. 46, no. 1, pp. 17–30, 2003
  19. Biodiversity, Habitat Area, Resource Growth Rate and Interference Competition
    Bulletin of Mathematical Biology, vol. 65, no. 3, pp. 497–518, 2003
  20. Wavefronts and global stability in a time-delayed population model with stage structure
    Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 459, no. 2034, pp. 1563–1579, 2003
  21. A ratio-dependent food chain model and its applications to biological control
    Mathematical Biosciences, vol. 181, no. 1, pp. 55–83, 2003
  22. Biological Stoichiometry: An Ecological Perspective on Tumor Dynamics
    BioScience, vol. 53, no. 11, p. 1112, 2003
  23. Proceedings of the American Mathematical Society, vol. 130, no. 05, pp. 1345–1354, 2002
  24. Geometric Stability Switch Criteria in Delay Differential Systems with Delay Dependent Parameters
    SIAM Journal on Mathematical Analysis, vol. 33, no. 5, p. 1144, 2002
  25. Modeling and analysis of a marine bacteriophage infection with latency period
    Nonlinear Analysis: Real World Applications, vol. 2, no. 1, pp. 35–74, 2001
  26. Global analysis of the Michaelis-Menten-type ratio-dependent predator-prey system
    Journal of Mathematical Biology, vol. 42, no. 6, pp. 489–506, 2001
  27. Rich dynamics of a ratio-dependent one-prey two-predators model
    Journal of Mathematical Biology, vol. 43, no. 5, pp. 377–396, 2001
  28. Periodic Solutions of Periodic Delay Lotka–Volterra Equations and Systems
    Journal of Mathematical Analysis and Applications, vol. 255, no. 1, pp. 260–280, 2001
  29. Simple Food Chain in a Chemostat with Distinct Removal Rates
    Journal of Mathematical Analysis and Applications, vol. 242, no. 1, pp. 75–92, 2000
  30. Stoichiometry in Producer–Grazer Systems: Linking Energy Flow with Element Cycling
    Bulletin of Mathematical Biology, vol. 62, no. 6, pp. 1137–1162, 2000
  31. Notes on the stability of dynamic economic systems
    Applied Mathematics and Computation, vol. 108, no. 2-3, pp. 85–89, 2000
  32. Global Asymptotic Behavior of a Chemostat Model with Two Perfectly Complementary Resources and Distributed Delay
    SIAM Journal on Applied Mathematics, vol. 60, no. 6, p. 2058, 2000
  33. Modeling and analysis of a marine bacteriophage infection
    Mathematical Biosciences, vol. 149, no. 1, pp. 57–76, 1998
  34. Global analyses in some delayed ratio-dependent predator-prey systems
    Nonlinear Analysis, vol. 32, no. 3, pp. 381–408, 1998
  35. Global qualitative analysis of a ratio-dependent predator-prey system
    Journal of Mathematical Biology, vol. 36, no. 4, pp. 389–406, 1998
  36. Sharp conditions for oscillations in some nonlinear nonautonomous delay differential equations
    Nonlinear Analysis, vol. 29, no. 11, pp. 1265–1276, 1997
  37. Global existence of periodic solutions in a class of delayed Gause-type predator-prey systems
    Nonlinear Analysis, vol. 28, no. 8, pp. 1373–1394, 1997
  38. Existence, uniqueness and asymptotic stability of periodic solutions of periodic functional-differential systems
    Tohoku Mathematical Journal, vol. 49, no. 2, pp. 217–239, 1997
  39. Global stability in a nonlinear difference-delay equation model of flour beetle population growth
    Journal of Difference Equations and Applications, vol. 2, no. 1, pp. 31–37, 1996
  40. Permanence in Kolmogorov-Type Systems of Nonautonomous Functional Differential Equations
    Journal of Mathematical Analysis and Applications, vol. 197, no. 2, pp. 427–447, 1996
  41. Convergence Results in a Well-Known Delayed Predator-Prey System
    Journal of Mathematical Analysis and Applications, vol. 204, no. 3, pp. 840–853, 1996
  42. Global Stability in Delay Differential Systems without Dominating Instantaneous Negative Feedbacks
    Journal of Differential Equations, vol. 119, no. 2, pp. 503–532, 1995
  43. Analysis of a Delayed Two-Stage Population Model with Space-Limited Recruitment
    SIAM Journal on Applied Mathematics, vol. 55, no. 6, p. 1675, 1995
  44. Predator-prey dynamics in models of prey dispersal in two-patch environments
    Mathematical Biosciences, vol. 120, no. 1, pp. 77–98, 1994
  45. Global Stability for Infinite Delay Lotka-Volterra Type Systems
    Journal of Differential Equations, vol. 103, no. 2, pp. 221–246, 1993
  46. Strictly Nonautonomous Cooperative System with a First Integral
    SIAM Journal on Mathematical Analysis, vol. 24, no. 5, p. 1331, 1993
  47. Qualitative Analysis of One- or Two-Species Neutral Delay Population Models
    SIAM Journal on Mathematical Analysis, vol. 23, no. 1, p. 181, 1992
  48. Asymptotic theory for a class of nonautonomous delay differential equations
    Journal of Mathematical Analysis and Applications, vol. 168, no. 1, pp. 147–162, 1992
  49. Slowly oscillating periodic solutions of autonomous state-dependent delay equations
    Nonlinear Analysis, vol. 19, no. 9, pp. 855–872, 1992
  50. Boundedness of solutions of a nonlinear nonautonomous neutral delay equation
    Journal of Mathematical Analysis and Applications, vol. 156, no. 1, pp. 293–304, 1991
  51. Global stability for a class of nonlinear nonautonomous delay equations
    Nonlinear Analysis, vol. 17, no. 7, pp. 627–634, 1991
  52. Global stability for infinite-delay, dispersive Lotka-Volterra systems: Weakly interacting populations in nearly identical patches
    Journal of Dynamics and Differential Equations, vol. 3, no. 3, pp. 339–360, 1991
  53. Qualitative analysis of a nonautonomous nonlinear delay differential equation
    Tohoku Mathematical Journal, vol. 43, no. 4, pp. 509–528, 1991
  54. Monotonic and Oscillatory Solutions of a Linear Neutral Delay Equation with Infinite Lag
    SIAM Journal on Mathematical Analysis, vol. 21, no. 6, p. 1633, 1990
  55. Global stability of Gause-type predator-prey systems
    Journal of Mathematical Biology, vol. 28, no. 4, 1990
  56. Uniqueness of limit cycles in liénard-type equations
    Nonlinear Analysis, vol. 15, no. 4, pp. 333–338, 1990
  57. On the location and period of limit cycles in Gause-type predator-prey systems
    Journal of Mathematical Analysis and Applications, vol. 142, no. 1, pp. 130–143, 1989
  58. Limit Cycles in a Chemostat-Related Model
    SIAM Journal on Applied Mathematics, vol. 49, no. 6, p. 1759, 1989
  59. Finiteness of limit cycles in planar autonomous systems
    Applicable Analysis, vol. 32, no. 3, pp. 253–264, 1989
  60. Nonuniqueness of limit cycles of gause-type predator-prey systems
    Applicable Analysis, vol. 29, no. 3, pp. 269–287, 1988
  61. Uniqueness of limit cycles in Gause-type models of predator-prey systems
    Mathematical Biosciences, vol. 88, no. 1, pp. 67–84, 1988