S A Gourley

Summary

Affiliation: University of Surrey
Country: UK

Publications

  1. ncbi request reprint A stage structured predator-prey model and its dependence on maturation delay and death rate
    Stephen A Gourley
    Department of Mathematics and Statistics, University of Surrey, Guildford, Surrey GU2 7XH, UK
    J Math Biol 49:188-200. 2004
  2. doi request reprint A non-local evolution equation model of cell-cell adhesion in higher dimensional space
    Janet Dyson
    a Mansfield College, University of Oxford, Oxford OX1 3TF, UK
    J Biol Dyn 7:68-87. 2013
  3. doi request reprint A delay equation model for oviposition habitat selection by mosquitoes
    Stephen A Gourley
    Department of Mathematics, University of Surrey, Guildford, Surrey, GU2 7XH, UK
    J Math Biol 65:1125-48. 2012
  4. ncbi request reprint Dynamics of a food-limited population model incorporating nonlocal delays on a finite domain
    S A Gourley
    Department of Mathematics and Statistics, University of Surrey, Guildford, England
    J Math Biol 44:49-78. 2002
  5. ncbi request reprint Eradicating vector-borne diseases via age-structured culling
    Stephen A Gourley
    Department of Mathematics, University of Surrey, Guildford, Surrey, GU2 7XH, UK
    J Math Biol 54:309-35. 2007
  6. ncbi request reprint Two-species competition with high dispersal: the winning strategy
    Stephen A Gourley
    Department of Mathematics and Statistics, University of Surrey, Guildford, Surrey, GU2 7XH, UK
    Math Biosci Eng 2:345-62. 2005
  7. ncbi request reprint Travelling front solutions of a nonlocal Fisher equation
    S A Gourley
    Department of Mathematics and Statistics, University of Surrey, Guildford, UK
    J Math Biol 41:272-84. 2000
  8. ncbi request reprint Linear stability criteria for population models with periodically perturbed delays
    D Schley
    Department of Mathematics and Statistics, University of Surrey, Guildford, UK
    J Math Biol 40:500-24. 2000

Collaborators

Detail Information

Publications8

  1. ncbi request reprint A stage structured predator-prey model and its dependence on maturation delay and death rate
    Stephen A Gourley
    Department of Mathematics and Statistics, University of Surrey, Guildford, Surrey GU2 7XH, UK
    J Math Biol 49:188-200. 2004
    ..Our linear stability work shows that if the resource is dynamic, as in nature, there is a window in maturation time delay parameter that generates sustainable oscillatory dynamics...
  2. doi request reprint A non-local evolution equation model of cell-cell adhesion in higher dimensional space
    Janet Dyson
    a Mansfield College, University of Oxford, Oxford OX1 3TF, UK
    J Biol Dyn 7:68-87. 2013
    ..Finally, the asymptotic behaviour of solutions about the spatially uniform state is considered. The model is illustrated by simulations that can be applied to in vitro wound closure experiments. ..
  3. doi request reprint A delay equation model for oviposition habitat selection by mosquitoes
    Stephen A Gourley
    Department of Mathematics, University of Surrey, Guildford, Surrey, GU2 7XH, UK
    J Math Biol 65:1125-48. 2012
    ..In some parameter regimes, counterintuitive phenomena are predicted...
  4. ncbi request reprint Dynamics of a food-limited population model incorporating nonlocal delays on a finite domain
    S A Gourley
    Department of Mathematics and Statistics, University of Surrey, Guildford, England
    J Math Biol 44:49-78. 2002
    ..The resulting model is then analysed and results established on linear stability, boundedness, global convergence of solutions and bifurcations...
  5. ncbi request reprint Eradicating vector-borne diseases via age-structured culling
    Stephen A Gourley
    Department of Mathematics, University of Surrey, Guildford, Surrey, GU2 7XH, UK
    J Math Biol 54:309-35. 2007
    ..We show that eradication of vector-borne diseases is possible by culling the vector at either the immature or the mature phase, even though the size of the vector is oscillating and above a certain level...
  6. ncbi request reprint Two-species competition with high dispersal: the winning strategy
    Stephen A Gourley
    Department of Mathematics and Statistics, University of Surrey, Guildford, Surrey, GU2 7XH, UK
    Math Biosci Eng 2:345-62. 2005
    ..We hypothesize that this may be a possible explanation for the evolution of grouping behavior in many species. Our findings are confirmed by extensive numerical simulation work on the models...
  7. ncbi request reprint Travelling front solutions of a nonlocal Fisher equation
    S A Gourley
    Department of Mathematics and Statistics, University of Surrey, Guildford, UK
    J Math Biol 41:272-84. 2000
    ....
  8. ncbi request reprint Linear stability criteria for population models with periodically perturbed delays
    D Schley
    Department of Mathematics and Statistics, University of Surrey, Guildford, UK
    J Math Biol 40:500-24. 2000
    ..The case when the periodic perturbation has large amplitude is studied numerically. If the fluctuation is large enough the effect can be stabilising...