Jonathan A. Sherratt, Department of Mathematics, Heriot-Watt University

Papers and Preprints

The following is a complete list of my refereed publications, separated into refereed research papers , and refereed review papers. Non-refereed articles that I have published are not listed here. If you would like to be sent a hard copy of a paper, please send me a request by e-mail.

Refereed Research Papers

    1990:

  1. J.A. Sherratt, J.D. Murray: Models of epidermal wound healing. Proc. R. Soc. Lond. B 241: 29-36 (1990). Click to see the paper

    1991:

  2. J.A. Sherratt, J.D. Murray: Mathematical analysis of a basic model for epidermal wound healing. J. Math. Biol. 29: 389-404 (1991). Click to see the paper

  3. J.A. Sherratt: A perturbation problem arising from a mechanical model for epithelial morphogenesis. IMA J. Appl. Math. 47: 147-162 (1991) Click to see the paper

    1992:

  4. J.A. Sherratt, M.A. Nowak: Oncogenes, anti-oncogenes and the immune response to cancer. Proc. R. Soc. Lond. B 248: 261-271 (1992). Click to see the paper

  5. J.A. Sherratt, J.D. Murray: Epidermal wound healing: the clinical implications of a simple mathematical model. Cell Transplantation 1: 365-371 (1992). Click to see the paper

  6. J.A. Sherratt, P. Martin, J.D. Murray, J. Lewis: Mathematical models of wound healing in embryonic and adult epidermis. IMA J. Math. Appl. Med. Biol. 9: 177-196 (1992). Click to see the paper

  7. P.K. Maini, D.L. Benson, J.A. Sherratt: Pattern formation in reaction-diffusion models with spatially inhomogeneous diffusion coefficients. IMA J. Math. Appl. Med. Biol. 9: 197-213 (1992). Click to see the paper

  8. J.A. Sherratt, J.D. Murray: Epidermal wound healing: a theoretical approach. Comments Theor. Biol. 2: 315-333 (1992). Click to see the paper

    1993:

  9. D.L. Benson, J.A. Sherratt, P.K. Maini: Diffusion driven instability in an inhomogeneous domain. Bull. Math. Biol. 55: 365-384 (1993). Click to see the paper

  10. J.A. Sherratt, J. Lewis: Stress-induced alignment of actin filaments and the mechanics of cytogel. Bull. Math. Biol. 55: 637-654 (1993). Click to see the paper

  11. J.A. Sherratt, E.H. Sage, J.D. Murray: Chemical control of eukaryotic cell movement: a new model. J. Theor. Biol. 162: 23-40 (1993). Click to see the paper

  12. J.A. Sherratt: Actin aggregation and embryonic epidermal wound healing. J. Math. Biol. 31: 703-716 (1993). Click to see the paper

  13. J.A. Sherratt: Cellular growth control and travelling waves of cancer. SIAM J. Appl. Math. 53: 1713-1730 (1993). Click to see the paper

  14. D.L. Benson, P.K. Maini, J.A. Sherratt: Analysis of pattern formation in reaction-diffusion models with spatially inhomogeneous diffusion coefficients. Math. Comp. Modelling 17: 29-34 (1993). Click to see the paper

  15. J.A. Sherratt: The amplitude of periodic plane waves depends on initial conditions in a variety of lambda-omega systems. Nonlinearity 6: 1055-1066 (1993). Click to see the paper

  16. J.A. Sherratt: Transition waves that leave behind regular or irregular spatiotemporal oscillations in a system of three reaction-diffusion equations. Int. J. Bifurc. Chaos 3: 1269-1279 (1993). Click to see the paper

    1994:

  17. J.A. Sherratt: Chemotaxis and chemokinesis in eukaryotic cells: the Keller-Segel equations as an approximation to a detailed model. Bull. Math. Biol. 56: 129-146 (1994). Click to see the paper

  18. P.D. Dale, J.A. Sherratt, P.K. Maini: On the speed of corneal epithelial wound healing. Appl. Math. Lett. 7: 11-14 (1994). Click to see the paper

  19. J.A. Sherratt: Irregular wakes in reaction-diffusion waves. Physica D 70: 370-382 (1994). Click to see the paper

  20. J.A. Sherratt: On the speed of amplitude transition waves in reaction diffusion equations of lambda-omega type. IMA J. Appl. Math. 52: 79-92 (1994). Click to see the paper

  21. T. Hofer, P.K. Maini, J.A. Sherratt, M.A.J. Chaplain, P. Chauvet, D. Metevier, P.C. Montes, J.D. Murray: A resolution of the chemotactic wave paradox. Appl. Math. Lett. 7: 1-5 (1994). Click to see the paper

  22. J.A. Sherratt: On the evolution of periodic plane waves in reaction-diffusion equations of lambda-omega type. SIAM J. Appl. Math. 54: 1374-1385 (1994). Click to see the paper

  23. P.D. Dale, P.K. Maini, J.A. Sherratt: Mathematical modelling of corneal epithelial wound healing. Math. Biosci. 124: 127-147 (1994). WINNER OF THE SIXTH BELLMAN PRIZE. Click to see the paper

    1995:

  24. J.A. Sherratt: Turing bifurcations with a temporally varying diffusion coefficient. J. Math. Biol. 33: 295-308 (1995). Click to see the paper

  25. T. Hofer, J.A. Sherratt, P.K. Maini: Dictyostelium discoideum: cellular self-organisation in an excitable biological medium. Proc. R. Soc. Lond. B 259: 249-257 (1995). Click to see the paper

  26. J.A. Sherratt: Unstable wavetrains and chaotic wakes in reaction-diffusion systems of lambda-omega type. Physica D 82: 165-179 (1995). Click to see the paper

  27. J.A. Sherratt, M.A. Lewis, A.C. Fowler: Ecological chaos in the wake of invasion. Proc. Natl. Acad. Sci. USA 92: 2524-2528 (1995). Click to see the paper

  28. J.A. Sherratt: Diffusion driven instability in oscillating environments. Eur. J. Appl. Math. 6: 355-372 (1995). Click to see the paper

  29. T. Hofer, J.A. Sherratt, P.K. Maini: Cellular pattern formation in a model of Dictyostelium aggregation. Physica D 85: 425-444 (1995). Click to see the paper

  30. A.J. Perumpanani, J.A. Sherratt, P.K. Maini: Phase differences in reaction-diffusion-advection systems and applications to morphognesis. IMA J. Appl. Math. 55: 19-33 (1995). Click to see the paper

  31. J.A. Sherratt, P.K. Maini, W. Jager, W.A. Muller: A receptor based model for pattern formation in Hydra. FORMA 10: 77-95 (1995). Click to see the paper

  32. L. Olsen, J.A. Sherratt, P.K. Maini: A mechanochemical model for adult dermal wound contraction: on the permanence of the contracted tissue displacement profile. J. Theor. Biol. 177: 113-128 (1995). Click to see the paper

    1996:

  33. P.D. Dale, J.A. Sherratt, P.K. Maini: A Mathematical model for collagen fibre formation during foetal and adult dermal wound healing. Proc. R. Soc. Lond. B 263: 653-660 (1996). Click to see the paper

  34. J.A. Sherratt: Periodic waves in reaction-diffusion models of oscillatory biological systems. FORMA 11: 61-80 (1996). Click to see the paper

  35. J.A. Sherratt, B.P. Marchant: Algebraic decay and variable speeds in wave front solutions of a scalar reaction-diffusion equation. IMA J. Appl. Math. 56: 289-302 (1996). Click to see the paper

  36. L. Olsen, J.A. Sherratt, P.K. Maini: A mathematical model for fibro-proliferative wound healing disorders. Bull. Math. Biol. 58: 787-808 (1996). Click to see the paper

  37. J.A. Sherratt: Periodic travelling waves in a family of deterministic cellular automata. Physica D 95: 319-335 (1996). Click to see the paper

  38. J.A. Sherratt, B.P. Marchant: Non-sharp travelling wave fronts in the Fisher equation with degenerate nonlinear diffusion. Appl. Math. Lett. 9(5): 33-38 (1996). Click to see the paper

  39. J.A. Sherratt: Oscillatory and chaotic wakes behind moving boundaries in reaction-diffusion systems. Dynam. Stab. Systems 11: 303-325 (1996). Click to see the paper

  40. A.J. Perumpanani, J.A. Sherratt, J. Norbury, H.M. Byrne: Biological inferences from a mathematical model for malignant invasion. Invasion and Metastasis 16: 209-221 (1996). Click to see the paper

    1997:

  41. J. Sneyd, J.A. Sherratt: On the propagation of calcium waves in an inhomogeneous medium. SIAM J. Appl. Math. 57: 73-94 (1997). Click to see the paper

  42. J.A. Sherratt: A comparison of two numerical methods for oscillatory reaction-diffusion equations. Appl. Math. Lett. 10(2): 1-5 (1997). Click to see the paper

  43. J.A. Sherratt, B.T. Eagan, M.A. Lewis: Oscillations and chaos behind predator-prey invasion: mathematical artifact or ecological reality? Phil. Trans. R. Soc. B 352: 21-38 (1997). Click to see the paper

  44. P.D. Dale, J.A. Sherratt, P.K. Maini: The role of fibroblast migration in collagen fibre formation during foetal and adult dermal wound healing. Bull. Math. Biol. 59: 1077-1100 (1997). Click to see the paper

  45. A.J. Perumpanani, J.A. Sherratt, J. Norbury: Mathematical modelling of capsule formation and multinodularity in benign tumour growth. Nonlinearity 10: 1599-1614 (1997). Click to see the paper

  46. M.R. Owen, J.A. Sherratt: Pattern formation and spatiotemporal irregularity in a model for macrophage-tumour interaction. J. Theor. Biol. 189: 63-80 (1997). Click to see the paper

  47. L. Olsen, J.A. Sherratt, P.K. Maini, F. Arnold: A mathematical model for the capillary endothelial cell extracellular matrix interactions in wound healing angiogenesis. IMA J. Math. Appl. Med. Biol. 14: 261-282 (1997). Click to see the paper

    1998:

  48. L. Olsen, P.K. Maini, J.A. Sherratt: Spatially varying equilibria of mechanical models: application to dermal wound contraction. Math. Biosci. 147: 113-129 (1998). Click to see the paper

  49. J. Dallon, J.A. Sherratt: A mathematical model for fibroblast and collagen orientation. Bull. Math. Biol. 60: 101-130 (1998). Click to see the paper

  50. M.R. Owen, J.A. Sherratt: Modelling the macrophage invasion of tumours: effects on growth and composition. IMA J. Math. Appl. Med. Biol. 15: 165-185 (1998). Click to see the paper

  51. J.A. Sherratt: On the transition from initial data to travelling waves in the Fisher-KPP equation. Dyn. Stab. Sys. 13: 167-174 (1998). Click to see the paper

  52. J.A. Sherratt: Invasive wave fronts and their oscillatory wakes are linked by a modulated travelling phase resetting wave. Physica D 117: 145-166 (1998). Click to see the paper

  53. M.R. Owen, J.A. Sherratt: Mathematical modelling of juxtacrine cell signalling. Math. Biosci. 153: 125-150 (1998). Click to see the paper

  54. D.L. Benson, P.K. Maini, J.A. Sherratt: Unravelling the Turing bifurcation using spatially varying diffusion coefficients. J. Math. Biol. 37: 381-417 (1998). Click to see the paper

  55. L. Olsen, P.K. Maini, J.A. Sherratt, B.P. Marchant: Simple modelling of extracellular matrix alignment in dermal wound healing. I. Cell flux induced alignment. J. Theor. Med 1: 172-192 (1998). Click to see the paper

  56. A.J. Perumpanani, D.L. Simmons, A.J.H. Gearing, K.M. Miller, G. Ward, J. Norbury, M. Schneemann, J.A. Sherratt: Does extracellular matrix mediated chemotaxis promote or impede cell migration? Proc. R. Soc. Lond. B 265: 2347-2352 (1998). Click to see the paper

    1999:

  57. S.D. Webb, J.A. Sherratt, R.G. Fish: Mathematical modelling of tumour acidity: regulation of intracellular pH. J. Theor. Biol. 196: 237-250 (1999). Click to see the paper

  58. M.R. Owen, J.A. Sherratt, S.R. Myers: How far can a juxtacrine signal travel? Proc. R. Soc. Lond. B 266: 579-585 (1999). Click to see the paper

  59. A.J. Perumpanani, J.A. Sherratt, J. Norbury, H. Byrne: A two parameter family of travelling waves with a singular barrier arising from the modelling of matrix mediated malignant invasion. Physica D 126: 145-159 (1999). Click to see the paper

  60. E.A. Gaffney, P.K. Maini, J.A. Sherratt, S. Tuft: The mathematical modelling of cell kinetics in corneal epithelial wound healing. J. Theor. Biol. 197: 15-40 (1999). Click to see the paper

  61. L. Olsen, P.K. Maini, J.A. Sherratt, J. Dallon: Mathematical modelling of anisotropy in fibrous connective tissue. Math. Biosci. 158: 145-170 (1999). Click to see the paper

  62. M.R. Owen, J.A. Sherratt: Mathematical modelling of macrophage dynamics in tumours. Math. Models Meth. Appl. Sci. 9: 513-539 (1999). Click to see the paper

  63. J. Dallon, J.A. Sherratt, P.K. Maini: Mathematical modelling of extracellular matrix dynamics using discrete cells: fibre orientation and tissue regeneration. J. Theor. Biol. 199: 449-471 (1999). Click to see the paper

  64. A.L. Kay, J.A. Sherratt: On the persistence of spatiotemporal oscillations generated by invasion. IMA J. Appl. Math. 63: 199-216 (1999). Click to see the paper

  65. S.D. Webb, J.A. Sherratt, R.G. Fish: Alterations in proteolytic activity at low pH and its association with invasion: a theoretical model. Invasion and metastasis 17: 397-407 (1999). Click to see the paper

    2000:

  66. M.R. Owen, J.A. Sherratt, H.J. Wearing: Lateral induction by juxtacrine signalling is a new mechanism for pattern formation. Dev. Biol. 217: 54-61 (2000). Click to see the paper

  67. H.J. Wearing, M.R. Owen, J.A. Sherratt: Mathematical modelling of juxtacrine patterning. Bull. Math. Biol. 62: 293-320 (2000). Click to see the paper

  68. J.A. Sherratt: Travelling wave solutions of a mathematical model for tumour encapsulation. SIAM J. Appl. Math. 60: 392-407 (2000). Click to see the paper

  69. H.J. Wearing, J.A. Sherratt: Keratinocyte growth factor signalling: a mathematical model of dermal-epidermal interaction in epidermal wound healing. Math. Biosci. 165 41-62 (2000). Click to see the paper

  70. C.A. Cobbold, J.A. Sherratt: Mathematical modelling of nitric oxide activity in wound healing can explain keloid and hypertrophic scarring. J. Theor. Biol. 204 257-288 (2000). Click to see the paper

  71. J.A. Sherratt: Wave front propagation in a competition equation with a new motility term modelling contact inhibition between cell populations. Proc. R. Soc. Lond. A 456 2365-2386 (2000). Click to see the paper

  72. J. Dallon, J.A. Sherratt: A mathematical model for spatially varying extracellular matrix alignment. SIAM J. Appl. Math. 61 506-527 (2000). Click to see the paper

  73. A.L. Kay, J.A. Sherratt: Spatial noise stabilizes periodic wave patterns in oscillatory systems on finite domains. SIAM J. Appl. Math. 61 1013-1041 (2000). Click to see the paper

  74. J. Dallon, J.A. Sherratt, P.K. Maini, M.W.J. Ferguson: Biological implications of a discrete mathematical model for collagen deposition and alignment in wound repair. IMA J. Math. Appl. Med. Biol. 17 379-393 (2000). Click to see the paper

    2001:

  75. J.A. Sherratt: Periodic travelling waves in cyclic predator-prey systems. Ecol. Lett. 4 30-37 (2001). Click to see the paper

  76. J.A. Sherratt, M.A.J. Chaplain: A new mathematical model for avascular tumour growth. J. Math. Biol. 43, 291-312 (2001). Click to see the paper

  77. J.C. Dallon, J.A. Sherratt, P.K. Maini: Modeling the effects of TGF-beta on extracellular matrix alignment in dermal wound repair. Wound Repair Regen. 9 278-286 (2001). Click to see the paper

  78. A.L. Kay, J.A. Sherratt, J.B.McLeod: Comparison theorems and variable speed waves for a scalar reaction-diffusion equation. Proc. R. Soc. Ed. 131A, 1133-1161 (2001). Click to see the paper

  79. B.P. Marchant, J. Norbury, J.A. Sherratt: Travelling wave solutions to a haptotaxis-dominated model of malignant invasion. Nonlinearity 14, 1653-1671 (2001). Click to see the paper

  80. H.J. Wearing, J.A. Sherratt: Nonlinear analysis of juxtacrine patterns. SIAM J. Appl. Math. 62, 283-309 (2001). Click to see the paper

    2002:

  81. C.A. Cobbold, J.A. Sherratt, S.R.J. Maxwell: Lipoprotein oxidation and its significance for atherosclerosis: a mathematical approach. Bull. Math. Biol. 64, 65-96 (2002). Click to see the paper

  82. J.A. Sherratt, X. Lambin, C.J. Thomas, T.N. Sherratt: Generation of periodic waves by landscape features in cyclic predator-prey systems. Proc. R. Soc. Lond. B 269, 327-334 (2002). Click to see the paper

  83. N.J. Savill, R. Weller, J.A. Sherratt: Mathematical modelling of nitric oxide regulation of rete peg formation in psoriasis. J. Theor. Biol. 214, 1-16 (2002). Click to see the paper

  84. S. Turner, J.A. Sherratt: Intercellular adhesion and cancer invasion: a discrete simulation using the extended Potts model. J. Theor. Biol. 216, 85-100 (2002). Click to see the paper

  85. J.A. Sherratt, R. Weller, N.J. Savill: Modelling blood flow regulation by nitric oxide in psoriatic plaques. Bull. Math. Biol. 64, 623-641 (2002). Click to see the paper

  86. S.D. Webb, J.A. Sherratt, R.G. Fish: Cells behaving badly: a theoretical model for the FAS/FAS-L system in tumour immunology. Math. Biosci. 179, 113-129 (2002). Click to see the paper

  87. S.R. McDougall, A.R.A. Anderson, M.A.J. Chaplain, J.A. Sherratt: Mathematical modelling of flow through vascular networks: implications for tumour-induced angiogenesis and chemotherapy strategies. Bull. Math. Biol. 64, 673-702 (2002). Click to see the paper

    2003:

  88. N. Savill, J.A. Sherratt: The control of epidermal stem cell clusters by Notch mediated lateral induction. Dev. Biol. 258, 141-153 (2003). Click to see the paper

  89. J.A. Sherratt: Periodic travelling wave selection by Dirichlet boundary conditions in oscillatory reaction-diffusion systems. SIAM J. Appl. Math. 63, 1520-1538 (2003). Click to see the paper

  90. S.D. Webb, J.A. Sherratt: A perturbation problem arising from the modelling of soluble Fas ligand in tumour immunology. Math. Comp. Modelling 37, 323-331 (2003). Click to see the paper

  91. K.J. Painter, J.A. Sherratt: Modelling the movement of interacting cell populations. J. Theor. Biol. 225, 327-339 (2003). Click to see the paper

  92. J.A. Sherratt, X. Lambin, T.N. Sherratt: The effects of the size and shape of landscape features on the formation of travelling waves in cyclic populations. Am. Nat. 162, 503-513 (2003). Click to see the paper and in a separate file, the online appendices

    2004:

  93. S.D. Webb, J.A. Sherratt: Oscillatory reaction-diffusion equations with temporally varying parameters. Math. Comp. Modelling 39, 45-60 (2004). Click to see the paper

  94. S. Turner, J.A. Sherratt, K.J. Painter, N.J. Savill: From a discrete to a continuous model of biological cell movement. Phys. Rev. E 69 art. no. 021910 (2004). Click to see the paper

  95. S. Turner, J.A. Sherratt, D. Cameron: Tamoxifen treatment failure in cancer and the nonlinear dynamics of TGF-beta. J. Theor. Biol. 229, 101-111 (2004) Click to see the paper

    2005:

  96. J.A. Sherratt: An analysis of vegetation stripe formation in semi-arid landscapes. J. Math. Biol. 51, 183-197 (2005) Click to see the paper

    2006:

  97. H.V. Waugh, J.A. Sherratt: Macrophage dynamics in diabetic wound healing. Bull. Math. Biol. 68, 197-207 (2006) Click to see the paper

  98. M. Smith, A. White, X. Lambin, J.A. Sherratt, M. Begon: Delayed density dependent season length: a mechanism for multiannual rodent population cycles? Am. Nat. 167, 695-704 (2006) Click to see the paper

  99. S. McDougall, J. Dallon, J.A. Sherratt, P. Maini: Fibroblast migration and collagen deposition during dermal wound healing: mathematical modelling and clinical implications. Phil. Trans. R. Soc. Lond. A 364, 1385-1405 (2006) Click to see the paper

  100. N.J. Armstrong, K. Painter, J.A. Sherratt: A continuum approach to modelling cell-cell adhesion. J. Theor. Biol. 243, 98-113 (2006). Click to see the paper

    2007:

  101. J.A. Sherratt, G.J. Lord: Nonlinear dynamics and pattern bifurcations in a model for vegetation stripes in semi-arid environments. Theor. Pop. Biol 71, 1-11 (2007). Click to see the paper

  102. H.V. Waugh, J.A. Sherratt: Modelling the effects of treating diabetic wounds with engineered skin substitutes. Wound Repair and Regeneration 15, 556-565 (2007). Click to see the paper

  103. M.J. Smith, J.A. Sherratt: The effects of unequal diffusion coefficients on periodic travelling waves in oscillatory reaction-diffusion systems. Physica D 236, 90-103 (2007). Click to see the paper

    2008:

  104. M.J. Smith, J.A. Sherratt, N.J. Armstrong: The effects of obstacle size on periodic travelling waves in oscillatory reaction-diffusion equations. Proc. R. Soc. Lond A 464, 365-390 (2008). Click to see the paper

  105. M.J. Smith, A. White, J.A. Sherratt, S. Telfer, M. Begon, X. Lambin: Disease effects on reproduction can cause population cycles in seasonal environments. J. Animal Ecol. 77, 378-389 (2008). Click to see the paper The supplementary online material can be seen by clicking here.

  106. M.J. Smith, J.A. Sherratt, X. Lambin: The effects of density-dependent dispersal on the spatiotemporal dynamics of cyclic populations. J. Theor. Biol. 254: 264-274 (2008). Click to see the paper The software tool mentioned in the paper is available here.

  107. J.A. Sherratt: A comparison of periodic travelling wave generation by Robin and Dirichlet boundary conditions in oscillatory reaction-diffusion equations. IMA J. Appl. Math 73: 759-781 (2008). Click to see the paper

    2009:

  108. N.J. Armstrong, K.J. Painter, J.A. Sherratt: Adding adhesion to the cell cycle model for somite formation. Bull. Math. Biol. 71: 1-24 (2009). Click to see the paper

  109. J.A. Sherratt, N.J. Armstrong, S.A. Gourley, K.J. Painter: Boundedness of Solutions of a nonlocal reaction-diffusion model for adhesion in cell aggregation and cancer invasion. Eur. J. Appl. Math. 20: 123-144 (2009). Click to see the paper

  110. S.S. Bell, A. White, J.A. Sherratt, M. Boots: Invading with biological weapons: the role of shared disease in ecological invasion. Theoretical Ecology 2: 53-66 (2009). Click to see the paper

  111. J.A. Sherratt, M.J. Smith, J.D.M. Rademacher: Locating the transition from periodic oscillations to spatiotemporal chaos in the wake of invasion. Proc. Natl. Acad. Sci. USA 106: 10890-10895 (2009). Click to see the paper

  112. M.J. Smith, J.D.M. Rademacher, J.A. Sherratt: Absolute stability of wavetrains can explain spatiotemporal dynamics in reaction-diffusion systems of lambda-omega type. SIAM J. Appl. Dyn. Systems 8: 1136-1159 (2009). Click to see the paper

  113. M.J. Smith, J.A. Sherratt: Propagating fronts in the complex Ginzburg-Landau equation generate fixed-width bands of plane waves. Phys. Rev. E 80 art. no. 046209 (2009). Click to see the paper

    2010:

  114. K.J. Painter, N.J. Armstrong, J.A. Sherratt: The impact of adhesion on cellular invasion processes in cancer and development. J. Theor. Biol. 264: 1057-1067 (2010). Click to see the paper

  115. J.A. Sherratt, M.J. Smith, J.D.M. Rademacher: Patterns of sources and sinks in the complex Ginzburg-Landau equation with zero linear dispersion. SIAM J. Appl. Dyn. Systems 9: 883-918 (2010). Click to see the paper

  116. J.A. Sherratt: On the form of smooth-front travelling waves in a reaction-diffusion equation with degenerate nonlinear diffusion. Math. Model. Nat. Phenom. 5: 63-78 (2010). Click to see the paper

  117. J.A. Sherratt: Pattern solutions of the Klausmeier model for banded vegetation in semi-arid environments I. Nonlinearity 23: 2657-2675 (2010). Click to see the paper

  118. J.M. Bloomfield, J.A. Sherratt, K.J. Painter, G. Landini: Cellular automata and integrodifferential equation models for cell renewal in mosaic tissues. J. R. Soc. Interface 7: 1525-1535 (2010). Click to see the paper

    2011:

  119. J.M. Bloomfield, K.J. Painter, J.A. Sherratt: How does cellular contact affect differentiation mediated pattern formation? Bull. Math. Biol. 73: 1529-1558 (2011). Click to see the paper

  120. J.J.H. Reynolds, A. White, J.A. Sherratt, M. Boots: The population dynamical consequences of density-dependent prophylaxis. J. Theor. Biol. 288: 1-8 (2011). Click to see the paper

  121. J.A. Sherratt: Pattern solutions of the Klausmeier model for banded vegetation in semi-arid environments II: patterns with the largest possible propagation speeds. Proc. R. Soc. Lond. A 467: 3272-3294 (2011). Click to see the paper

    2012:

  122. J.A. Sherratt: Numerical continuation methods for studying periodic travelling wave (wavetrain) solutions of partial differential equations. Appl. Math. Comp. 218: 4684-4694 (2012). Click to see the paper

    In Press:

  123. J.A. Sherratt, A.D. Synodinos: Vegetation patterns and desertification waves in semi-arid environments: mathematical models based on local facilitation in plants. Discrete Cont. Dyn. Syst. B in press.