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Fordyce A. Davidson

  1. Auto-aggregation in zoospores of Phytophthora infestans: the cooperative roles of bioconvection and chemotaxis

    Savory, A. I. M., Grenville-Briggs, L. J., Wawra, S., van West, P. & Davidson, F. A. 6 May 2014 In : Journal of the Royal Society Interface. 11, 94, 8 p.20140017

    Research output: Contribution to journalArticle

  2. Regulation of vectorial supply of vesicles to the hyphal tip determines thigmotropism in Neurospora crassa

    Stephenson, K. S., Gow, N. A. R., Davidson, F. A. & Gadd, G. M. Mar 2014 In : Fungal Biology. 118, 3, p. 287-294 8 p.

    Research output: Contribution to journalArticle

  3. Phosphorylated DegU manipulates cell fate differentiation in the Bacillus subtilis biofilm

    Marlow, V. L., Porter, M., Hobley, L., Kiley, T. B., Swedlow, J. R., Davidson, F. A. & Stanley-Wall, N. R. Jan 2014 In : Journal of Bacteriology. 196, 1, p. 16-27 10 p.

    Research output: Contribution to journalArticle

  4. A synthetic system for expression of components of a bacterial microcompartment

    Sargent, F., Davidson, F. A., Kelly, C. L., Binny, R., Christodoulides, N., Gibson, D., Johansson, E., Kozyrska, K., Licandro Lado, L., MacCallum, J., Montague, R., Ortmann, B., Owen, R., Coulthurst, S. J., Dupuy, L., Prescott, A. R. & Palmer, T. Nov 2013 In : Microbiology-SGM. 159, 11, p. 2427-2436 10 p.

    Research output: Contribution to journalArticle

  5. Basic rules for polarised cell growth

    Jaffar, M. Z. A. M. & Davidson, F. A. Nov 2013 In : Journal of Theoretical Biology. 336, p. 44-51 8 p.

    Research output: Contribution to journalArticle

  6. Reversing invasion in bistable systems

    Alzahrani, E. O., Davidson, F. A. & Dodds, N. Dec 2012 In : Journal of Mathematical Biology. 65, 6-7, p. 1101-1124 24 p.

    Research output: Contribution to journalArticle

  7. Selective Heterogeneity in Exoprotease Production by Bacillus subtilis

    Davidson, F. A., Yi, C-S. & Stanley-Wall, N. R. 20 Jun 2012 In : PLoS ONE. 7, 6, p. - 15 p.e38574

    Research output: Contribution to journalArticle

  8. A 3-species competition model for bio-control

    Alzahrani, E. O., Davidson, F. A. & Dodds, N. 1 Jun 2012 In : Applied Mathematics and Computation. 218, 19, p. 9690-9698 9 p.

    Research output: Contribution to journalArticle

  9. Modelling hyphal networks

    Boswell, G. P. & Davidson, F. A. 1 Apr 2012 In : Fungal Biology Reviews. 26, 1, p. 30-38 9 p.

    Research output: Contribution to journalArticle

  10. Is cell fusion driven by excitation?: Comment on DOI: 10.1002/bies.201100135

    Davidson, F. A. Apr 2012 In : BioEssays. 34, 4, p. 258-258 1 p.

    Research output: Contribution to journalArticle

  11. Special Issue: 2020 visions of applied mathematics

    Champneys, A. & Davidson, F. Jun 2011 In : IMA Journal of Applied Mathematics. 76, 3, p. 351-352 2 p.

    Research output: Contribution to journalEditorial

  12. An integrated pharmacokinetic-pharmacodynamic model for an Aurora kinase inhibitor

    Kamei, H., Jackson, R. C., Zheleva, D. & Davidson, F. A. Aug 2010 In : Journal of Pharmacokinetics and Pharmacodynamics. 37, 4, p. 407-434 28 p.

    Research output: Contribution to journalArticle

  13. A blueprint for polarised growth

    Davidson, F. 2010 In : Microbiology Today. 34, p. 34-37 4 p.

    Research output: Contribution to journalArticle

  14. A pharmacodynamic model of Aurora kinase inhibitors in the spindle assembly checkpoint

    Mistry, H. B., MacCallum, D. E., Jackson, R. C., Chaplain, M. A. J. & Davidson, F. A. 2010 In : Frontiers in Bioscience. 15, 1, p. 249-258 10 p.

    Research output: Contribution to journalArticle

  15. Travelling waves in near-degenerate bistable competition models

    Alzahrani, E. O., Davidson, F. A. & Dodds, N. 2010 In : Mathematical Modelling of Natural Phenomena. 5, 5, p. 13-35 23 p.

    Research output: Contribution to journalArticle

  16. Approaches to modelling mineral weathering by fungi

    Rosling, A., Roose, T., Herrmann, A. M., Davidson, F. A., Finlay, R. D. & Gadd, G. M. 2009 In : Fungal Biology Reviews. 23, 4, p. 138-144 7 p.

    Research output: Contribution to journalArticle

  17. Modeling the temporal evolution of the spindle assembly checkpoint and role of Aurora B kinase

    Mistry, H. B., MacCallum, D. E., Jackson, R. C., Chaplain, M. A. J. & Davidson, F. A. 23 Dec 2008 In : Proceedings of the National Academy of Sciences USA. 105, 51, p. 20215-20220 6 p.

    Research output: Contribution to journalArticle

  18. Theoretical and mathematical ecology

    Davidson, F. A. Nov 2008 In : Fungal Ecology. 1, p. 107-107 1 p.

    Research output: Contribution to journalEditorial

  19. Free and forced motion in an asymmetric liquid-column oscillator

    Smith, M. J., Kobine, J. J. & Davidson, F. A. 8 Apr 2008 In : Proceedings of the Royal Society of London A : Mathematical, Physical and Engineering Sciences. 464, 2092, p. 905-922 18 p.

    Research output: Contribution to journalArticle

  20. A pharmacodynamic model of the spindle assembly checkpoint and the action of the aurora kinase inhibitors

    Mistry, H., Davidson, F., Chaplain, M. & Jackson, R. 2008 p. 1642

    Research output: Contribution to conferenceAbstract

  21. Theoretical and mathematical ecology (Editorial)

    Davidson, F. A. 2008 In : Fungal Ecology. 1, 4, p. 107 1 p.

    Research output: Contribution to journalArticle

  22. Berkeley Award Lecture: mathematical modelling of the form and function of fungal mycelia

    Davidson, F. A. 2007 Fungi in the environment. Gadd, G., Watkinson, S. C. & Dyer, P. S. (eds.). Cambridge University Press, p. 58-74 17 p. (British Mycological Society Symposia; no. 25)

    Research output: Chapter in Book/Report/Conference proceedingChapter

  23. Diffusion fronts in enzyme-catalysed reactions

    Boswell, G. P. & Davidson, F. A. 2007 In : Journal of Engineering Mathematics. 59, 2, p. 157-169 13 p.

    Research output: Contribution to journalArticle

  24. Effect of nutrient availability on hyphal maturation and topographical sensing in Aspergillus niger

    Bowen, A. D., Davidson, F. A., Keatch, R. & Gadd, G. M. 2007 In : Mycoscience. 48, 3, p. 145-151 7 p.

    Research output: Contribution to journalArticle

  25. Eigenfunction expansions in L2 spaces for boundary value problems on time-scales

    Davidson, F. A. & Rynne, B. P. 2007 In : Journal of Mathematical Analysis and Applications. 335, 2, p. 1038-1051 14 p.

    Research output: Contribution to journalArticle

  26. Mathematical modelling of mycelia: a question of scale

    Davidson, F. A. 2007 In : Fungal Biology Reviews. 21, 1, p. 30-41 12 p.

    Research output: Contribution to journalArticle

  27. Properties of eigenfunctions of non-local operators

    Davidson, F. A. & Dodds, N. 2007 Proceedings of minisymposia and contributed talks of EQUADIFF-11: International conference on differential equations Czecho-Slovak series. Comenius University Press, p. 57-66

    Research output: Chapter in Book/Report/Conference proceedingChapter

  28. Self-adjoint boundary-value problems on time-scales

    Davidson, F. A. & Rynne, B. P. 2007 In : Electronic Journal of Differential Equations. 2007, 175, p. 1-10 10 p.

    Research output: Contribution to journalArticle

  29. The development of fungal networks in complex environments

    Boswell, G. P., Jacobs, H., Ritz, K., Gadd, G. M. & Davidson, F. A. 2007 In : Bulletin of Mathematical Biology. 69, 2, p. 605-634 30 p.

    Research output: Contribution to journalArticle

  30. Travelling wave and convergence in stage-structured reaction-diffusion competitive models with nonlocal delays

    Xu, R., Chaplain, M. A. J. & Davidson, F. A. Nov 2006 In : Chaos, Solitons & Fractals. 30, 4, p. 974-992 19 p.

    Research output: Contribution to journalArticle

  31. Spectral properties of non-local uniformly-elliptic operators

    Davidson, F. A. & Dodds, N. Oct 2006 In : Electronic Journal of Differential Equations. 2006, 126, p. 1-15 15 p.

    Research output: Contribution to journalArticle

  32. A Lotka-Volterra type food chain model with stage structure and time delays

    Xu, R., Chaplain, M. A. J. & Davidson, F. A. 2006 In : Journal of Mathematical Analysis and Applications. 315, 1, p. 90-105 16 p.

    Research output: Contribution to journalArticle

  33. Global convergence of a reaction-diffusion predator-prey model with stage structure for the predator

    Xu, R., Chaplain, M. A. J. & Davidson, F. A. 2006 In : Applied Mathematics and Computation. 176, 1, p. 388-401 14 p.

    Research output: Contribution to journalArticle

  34. Periodic solutions of a Lotka-Volterra type multi-species population model with time delays

    Xu, R., Chaplain, M. A. J. & Davidson, F. A. 2006 In : Mathematische Nachrichten. 279, 8, p. 911-927 17 p.

    Research output: Contribution to journalArticle

  35. Spectral properties of non-local differential operators

    Davidson, F. A. & Dodds, N. 2006 In : Applicable Analysis. 85, 6-7, p. 717-734 18 p.

    Research output: Contribution to journalArticle

  36. Controlling beat phenomena in coupled systems using asymmetric tuned liquid column dampers

    Smith, M. J., Kobine, J. J. & Davidson, F. A. 2005 Fluid structure interaction and moving boundary problems. Chakrabarti, S. K., Hernandez, S. & Brebbia, C. A. (eds.). SOUTHAMPTON: WIT Press, Vol. 84, p. 457-464 8 p. (WIT TRANSACTIONS ON THE BUILT ENVIRONMENT; vol. 84)

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

  37. Global stability of a stage-structured predator-prey model with prey dispersal

    Xu, R., Chaplain, M. A. J. & Davidson, F. A. 2005 In : Applied Mathematics and Computation. 171, 1, p. 293-314 22 p.

    Research output: Contribution to journalArticle

  38. Modelling and analysis of a competitive model with stage structure

    Xu, R., Chaplain, M. A. J. & Davidson, F. A. 2005 In : Mathematical and Computer Modelling. 41, 2-3, p. 159-175 17 p.

    Research output: Contribution to journalArticle

  39. Periodic solutions for a predator-prey model with Holling-type functional response and time delays

    Xu, R., Chaplain, M. A. J. & Davidson, F. A. 2005 In : Applied Mathematics and Computation. 161, 2, p. 637-654 18 p.

    Research output: Contribution to journalArticle

  40. Permanence and periodicity of a delayed ratio-dependent predator-prey model with stage structure

    Xu, R., Chaplain, M. A. J. & Davidson, F. A. 2005 In : Journal of Mathematical Analysis and Applications. 303, 2, p. 602-621 20 p.

    Research output: Contribution to journalArticle

  41. Persistence and global stability of a ratio-dependent predator-prey model with stage structure

    Xu, R., Chaplain, M. A. J. & Davidson, F. A. Nov 2004 In : Applied Mathematics and Computation. 158, 3, p. 729-744 16 p.

    Research output: Contribution to journalArticle

  42. Translocation of carbon by Rhizoctonia solani in nutritionally-heterogeneous microcosms

    Jacobs, H., Boswell, G. P., Scrimgeour, C. M., Davidson, F. A., Gadd, G. M. & Ritz, K. Apr 2004 In : Mycological Research. 108, 4, p. 453-462 10 p.

    Research output: Contribution to journalArticle

  43. Persistence and stability of a stage-structured predator-prey model with time delays

    Xu, R., Chaplain, M. A. J. & Davidson, F. A. Feb 2004 In : Applied Mathematics and Computation. 150, 1, p. 259-277 19 p.

    Research output: Contribution to journalArticle

  44. Global asymptotic stability of periodic solution for a cooperative system with time delays

    Xu, R., Chaplain, M. A. J. & Davidson, F. A. 2004 In : Indian Journal of Pure and Applied Mathematics. 35, 7, p. 915-936 22 p.

    Research output: Contribution to journalArticle

  45. Global stability of a Lotka-Volterra type predator-prey model with stage structure and time delay

    Xu, R., Chaplain, M. A. J. & Davidson, F. A. 2004 In : Applied Mathematics and Computation. 159, 3, p. 863-880 18 p.

    Research output: Contribution to journalArticle

  46. Periodic solution for a three-species Lotka-Volterra food-chain model with time delays

    Xu, R., Chaplain, M. A. J. & Davidson, F. A. 2004 In : Mathematical and Computer Modelling. 40, 7-8, p. 823-837 15 p.

    Research output: Contribution to journalArticle

  47. Periodic solution of a Lotka-Volterra predator-prey model with dispersion and time delays

    Xu, R., Chaplain, M. A. J. & Davidson, F. A. 2004 In : Applied Mathematics and Computation. 148, 2, p. 537-560 24 p.

    Research output: Contribution to journalArticle

  48. Periodic solutions for a delayed predator-prey model of prey dispersal in two-patch environments

    Xu, R., Chaplain, M. A. J. & Davidson, F. A. 2004 In : Nonlinear Analysis: Real World Applications. 5, 1, p. 183-206 24 p.

    Research output: Contribution to journalArticle

  49. Periodic solutions of a discrete nonautonomous Lotka-Volterra predator-prey model with time delays

    Xu, R., Chaplain, M. A. J. & Davidson, F. A. 2004 In : Discrete and Continuous Dynamical Systems: Series B. 4, 3, p. 823-831 9 p.

    Research output: Contribution to journalArticle

  50. Periodic solutions of a discrete time three-species Lotka-Volterra food-chain system

    Xu, R., Davidson, F. & Chaplain, M. A. J. 2004 In : Nonlinear Functional Analysis and Applications. 9, 3, p. 429-440 12 p.

    Research output: Contribution to journalArticle

  51. Periodic solutions of a predator-prey model with stage structure for predator

    Xu, R., Chaplain, M. A. J. & Davidson, F. A. 2004 In : Applied Mathematics and Computation. 154, 3, p. 847-870 24 p.

    Research output: Contribution to journalArticle

  52. Persistence and periodicity of a delayed ratio-dependent predator-prey model with stage structure and prey dispersal

    Chaplain, M. A. J., Xu, R. & Davidson, F. A. 2004 In : Applied Mathematics and Computation. 159, 3, p. 823-846 24 p.

    Research output: Contribution to journalArticle

  53. Quasi-steady state assumptions for non-isolated enzyme-catalyzed reactions

    Stoleriu, I., Davidson, F. A. & Liu, J. L. 2004 In : Journal of Mathematical Biology. 48, 1, p. 82-104 23 p.

    Research output: Contribution to journalArticle

  54. A positive numerical scheme for a mixed-type partial differential equation model for fungal growth

    Boswell, G. P., Jacobs, H., Davidson, F. A., Gadd, G. M. & Ritz, K. 20 Jun 2003 In : Applied Mathematics and Computation. 138, 2-3, p. 321-340 20 p.

    Research output: Contribution to journalArticle

  55. Growth and function of fungal mycelia in heterogeneous environments

    Boswell, G. P., Jacobs, H., Davidson, F. A., Gadd, G. M. & Ritz, K. May 2003 In : Bulletin of Mathematical Biology. 65, 3, p. 447-477 31 p.

    Research output: Contribution to journalArticle

  56. Solubilization of metal phosphates by Rhizoctonia solani

    Jacobs, H., Boswell, G. P., Harper, F. A., Ritz, K., Davidson, F. A. & Gadd, G. M. Dec 2002 In : Mycological Research. 106, 12, p. 1468-1479 12 p.

    Research output: Contribution to journalArticle

  57. Functional consequences of nutrient translocation in mycelial fungi

    Boswell, G. P., Jacobs, H., Davidson, F. A., Gadd, G. M. & Ritz, K. 21 Aug 2002 In : Journal of Theoretical Biology. 217, 4, p. 459-477 19 p.

    Research output: Contribution to journalArticle

  58. Global stability of the attracting set of an enzyme-catalysed reaction system

    Davidson, F. A. & Liu, J. 10 Aug 2002 In : Mathematical and Computer Modelling. 35, 13, p. 1467-1481 15 p.

    Research output: Contribution to journalArticle

  59. Existence and uniqueness of limit cycles in an enzyme-catalysed reaction system

    Davidson, F. A., Xu, R. & Liu, J. 15 Apr 2002 In : Applied Mathematics and Computation. 127, 2-3, p. 165-179 15 p.

    Research output: Contribution to journalArticle

  60. Solubilization of calcium phosphate as a consequence of carbon translocation by Rhizoctonia solani

    Jacobs, H., Boswell, G. P., Ritz, K., Davidson, F. A. & Gadd, G. M. Apr 2002 In : FEMS Microbiology Ecology. 40, 1, p. 65-71 7 p.

    Research output: Contribution to journalArticle

  61. Global bifurcation on time scales

    Davidson, F. A. & Rynne, B. P. 2002 In : Journal of Mathematical Analysis and Applications. 267, 1, p. 345-360 16 p.

    Research output: Contribution to journalArticle

  62. Persistence and stability for a two species ratio-dependent predator-prey system with distributed time delay

    Xu, R., Davidson, F. A. & Chaplain, M. A. J. 2002 In : Journal of Mathematical Analysis and Applications. 269, 1, p. 256-277 22 p.

    Research output: Contribution to journalArticle

  63. Global asymptotic stability in a nonautonomous n-species Lotka-Volterra predator-prey system with infinite delays

    Rui, X., Chaplain, M. A. J. & Davidson, F. A. 2001 In : Applicable Analysis. 80, 1-2, p. 107-126 20 p.

    Research output: Contribution to journalArticle

  64. Spatio-temporal pattern formation in a nonlocal reaction-diffusion equation

    Gourley, S. A., Chaplain, M. A. J. & Davidson, F. A. 2001 In : Dynamical Systems. 16, 2, p. 173-192 20 p.

    Research output: Contribution to journalArticle

  65. The effects of temporal delays in a model for a food-limited diffusing population

    Davidson, F. A. & Gourley, S. A. 2001 In : Journal of Mathematical Analysis and Applications. 261, 2, p. 633-648 16 p.

    Research output: Contribution to journalArticle

  66. Asymptotic oscillations of continua of positive solutions of a semilinear Sturm–Liouville problem

    Davidson, F. A. & Rynne, B. P. 15 Dec 2000 In : Journal of Mathematical Analysis and Applications. 252, 2, p. 617-630 14 p.

    Research output: Contribution to journalArticle

  67. Translocation induced outgrowth of fungi in nutrient-free environments

    Davidson, F. A. & Olsson, S. 7 Jul 2000 In : Journal of Theoretical Biology. 205, 1, p. 73-84 12 p.

    Research output: Contribution to journalArticle

  68. Steady state solutions of a generic model for the formation of capillary networks

    Davidson, F. A., Anderson, A. R. A. & Chaplain, M. A. J. 2000 In : Applied Mathematics Letters. 13, 5, p. 127-132 6 p.

    Research output: Contribution to journalArticle

  69. Global secondary bifurcation in a non-linear boundary value problem

    Davidson, F. A. 1 Dec 1999 In : Journal of Mathematical Analysis and Applications. 240, 1, p. 80-91 12 p.

    Research output: Contribution to journalArticle

  70. Modelling the qualitative response of fungal mycelia to heterogeneous environments

    Davidson, F. A. 7 Dec 1998 In : Journal of Theoretical Biology. 195, 3, p. 281 292 p.12

    Research output: Contribution to journalArticle

  71. A mathematical model for fungal development in heterogeneous environments

    Davidson, F. A. & Park, A. W. Nov 1998 In : Applied Mathematics Letters. 11, 6, p. 51-56 6 p.

    Research output: Contribution to journalArticle

  72. Spatio-temporal dynamics of the immune system response to cancer

    Chaplain, M., Kuznetsov, V. A., James, Z. H., Davidson, F. & Stepanova, L. A. 1998 Mathematical models in medical and health science. Mary Ann, H., Gieri, S. & Glenn F., W. (eds.). Vanderbilt University Press

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

  73. Travelling waves in a reaction-diffusion system modelling fungal mycelia

    Davidson, F. A., Sleeman, B. D. & Crawford, J. W. Jun 1997 In : IMA Journal of Applied Mathematics. 58, 3, p. 237-257 21 p.

    Research output: Contribution to journalArticle

  74. Travelling waves and pattern formation in a model for fungal development

    Davidson, F. A., Sleeman, B. D., Rayner, A. D. M., Crawford, J. W. & Ritz, K. Apr 1997 In : Journal of Mathematical Biology. 35, 5, p. 589-608 20 p.

    Research output: Contribution to journalArticle

  75. Large-scale behavior of fungal mycelia

    Davidson, F. A., Sleeman, B. D., Rayner, A. D. M., Crawford, J. W. & Ritz, K. Nov 1996 In : Mathematical and Computer Modelling. 24, 10, p. 81-87 7 p.

    Research output: Contribution to journalArticle

  76. Context-dependent macroscopic patterns in growing and interacting mycelial networks

    Davidson, F. A., Sleeman, B. D., Rayner, A. D. M., Crawford, J. W. & Ritz, K. 22 Jul 1996 In : Proceedings of the Royal Society B. 263, 1372, p. 873-880 8 p.

    Research output: Contribution to journalArticle

  77. Local and global behaviour of steady-state solutions of the Sel'kov model

    Davidson, F. A. & Rynne, B. P. Apr 1996 In : IMA Journal of Applied Mathematics. 56, 2, p. 145-155 11 p.

    Research output: Contribution to journalArticle

  78. Global bifurcation in the Brusselator system

    Brown, K. J. & Davidson, F. A. Jun 1995 In : Nonlinear Analysis. 24, 12, p. 1713-1725 13 p.

    Research output: Contribution to journalArticle

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