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Gourley, Stephen A.

Author ID: gourley.stephen-a Recent zbMATH articles by "Gourley, Stephen A."
Published as: Gourley, S. A.; Gourley, Stephen A.; Gourley, Stephen
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Publications by Year

Citations contained in zbMATH Open

81 Publications have been cited 2,145 times in 1,309 Documents Cited by Year
A stage structured predator-prey model and its dependence on maturation delay and death rate. Zbl 1055.92043
Gourley, Stephen A.; Kuang, Yang
177
2004
Nonlocality of reaction-diffusion equations induced by delay: biological modeling and nonlinear dynamics. Zbl 1128.35360
Gourley, S. A.; So, J. W.-H.; Wu, J. H.
128
2003
Travelling front solutions of a nonlocal Fisher equation. Zbl 0982.92028
Gourley, S. A.
119
2000
Delayed non-local diffusive systems in biological invasion and disease spread. Zbl 1130.35127
Gourley, S. A.; Wu, J.
113
2006
A predator-prey reaction-diffusion system with nonlocal effects. Zbl 0840.92018
Gourley, S. A.; Britton, N. F.
101
1996
Wavefronts and global stability in a time-delayed population model with stage structure. Zbl 1047.92037
Gourley, Stephen A.; Kuang, Yang
96
2003
Convergence and travelling fronts in functional differential equations with nonlocal terms: A competition model. Zbl 1040.92045
Gourley, Stephen A.; Ruan, Shigui
93
2003
Dynamics of a food-limited population model incorporating nonlocal delays on a finite domain. Zbl 0993.92027
Gourley, S. A.; So, J. W.-H.
84
2002
Travelling fronts for the KPP equation with spatio-temporal delay. Zbl 1005.92024
Ashwin, P.; Bartuccelli, M. V.; Bridges, T. J.; Gourley, S. A.
80
2002
Dynamics of a delay differential equation model of hepatitis B virus infection. Zbl 1140.92014
Gourley, Stephen A.; Kuang, Yang; Nagy, John D.
80
2008
Monotone travelling fronts in an age-structured reaction-diffusion model of a single species. Zbl 1013.92032
Al-Omari, J.; Gourley, S. A.
74
2002
Travelling fronts in the diffusive Nicholson’s blowflies equation with distributed delays. Zbl 0969.35133
Gourley, S. A.
63
2000
Dynamics of the diffusive Nicholson’s blowflies equation with distributed delay. Zbl 0973.34064
Gourley, S. A.; Ruan, S.
54
2000
A delay reaction-diffusion model of the spread of bacteriophage infection. Zbl 1068.92042
Gourley, Stephen A.; Kuang, Yang
51
2005
Stability and traveling fronts in Lotka-Volterra competition models with stage structure. Zbl 1058.92037
Al-Omari, J. F. M.; Gourley, S. A.
48
2003
Spatio-temporal pattern formation in a nonlocal reaction-diffusion equation. Zbl 0988.35082
Gourley, S. A.; Chaplain, M. A. J.; Davidson, F. A.
46
2001
A nonlocal reaction-diffusion model for a single species with stage structure and distributed maturation delay. Zbl 1079.35015
Al-Omari, J. F. M.; Gourley, S. A.
36
2005
Travelling fronts in a food-limited population model with time delay. Zbl 1006.35051
Gourley, S. A.; Chaplain, M. A. J.
35
2002
Boundedness of solutions of a non-local reaction-diffusion model for adhesion in cell aggregation and cancer invasion. Zbl 1194.35219
Sherratt, Jonathan A.; Gourley, Stephen A.; Armstrong, Nicola J.; Painter, Kevin J.
33
2009
Monotone wave-fronts in a structured population model with distributed maturation delay. Zbl 1086.92043
Al-Omari, J. F. M.; Gourley, S. A.
26
2005
Extinction and wavefront propagation in a reaction-diffusion model of a structured population with distributed maturation delay. Zbl 1049.35102
Gourley, S. A.; So, J. W.-H.
25
2003
Dynamics of a stage-structured population model incorporating a state-dependent maturation delay. Zbl 1088.34070
Al-Omari, J. F. M.; Gourley, S. A.
25
2005
Wave front solutions of a diffusive delay model for populations of Daphnia magna. Zbl 0998.92029
Gourley, S. A.
24
2001
Spatiotemporal distributions of migratory birds: patchy models with delay. Zbl 1195.34126
Gourley, Stephen A.; Liu, Rongsong; Wu, Jianhong
23
2010
Eradicating vector-borne diseases via age-structured culling. Zbl 1115.92041
Gourley, Stephen A.; Liu, Rongsong; Wu, Jianhong
23
2007
On a modified Volterra population equation with diffusion. Zbl 0805.35062
Gourley, S. A.; Britton, N. F.
23
1993
Instability of travelling wave solutions of a population model with nonlocal effects. Zbl 0832.35068
Gourley, S. A.; Britton, N. F.
21
1993
Existence and asymptotic properties of solutions of a nonlocal evolution equation modeling cell-cell adhesion. Zbl 1222.35030
Dyson, Janet; Gourley, Stephen A.; Villella-Bressan, Rosanna; Webb, Glenn F.
18
2010
The effects of temporal delays in a model for a food-limited, diffusing population. Zbl 0992.35047
Davidson, F. A.; Gourley, S. A.
18
2001
Some vector borne diseases with structured host populations: extinction and spatial spread. Zbl 1123.35083
Gourley, Stephen A.; Liu, Rongsong; Wu, Jianhong
18
2007
Stage-structured models of intra- and inter-specific competition within age classes. Zbl 1382.34089
Fang, Jian; Gourley, Stephen A.; Lou, Yijun
18
2016
Asymptotic properties of a delay differential equation model for the interaction of glucose with plasma and interstitial insulin. Zbl 1043.92007
Bennett, D. L.; Gourley, S. A.
17
2004
Modelling Wolbachia infection in a sex-structured mosquito population carrying West Nile virus. Zbl 1387.92082
Farkas, József Z.; Gourley, Stephen A.; Liu, Rongsong; Yakubu, Abdul-Aziz
17
2017
The interaction of migratory birds and domestic poultry and its role in sustaining avian influenza. Zbl 1231.34146
Bourouiba, Lydia; Gourley, Stephen A.; Liu, Rongsong; Wu, Jianhong
16
2011
Parameter domains for instability of uniform states in systems with many delays. Zbl 0878.92001
Gourley, S. A.; Bartuccelli, M. V.
15
1997
Spatio-temporal delays in a nutrient-plankton model on a finite domain: Linear stability and bifurcations. Zbl 1026.92050
Gourley, Stephen A.; Ruan, Shigui
15
2003
Extinction criteria in stage-structured population models with impulsive culling. Zbl 1120.34064
Simons, R. R. L.; Gourley, S. A.
15
2006
A non-local evolution equation model of cell-cell adhesion in higher dimensional space. Zbl 1448.92068
Dyson, Janet; Gourley, Stephen A.; Webb, Glenn F.
13
2013
Slowing the evolution of insecticide resistance in mosquitoes: a mathematical model. Zbl 1228.35257
Gourley, Stephen A.; Liu, Rongsong; Wu, Jianhong
13
2011
Linear stability of travelling fronts in an age-structured reaction-diffusion population model. Zbl 1069.92018
Gourley, S. A.
13
2005
Perverse consequences of infrequently culling a pest. Zbl 1201.92066
Terry, Alan J.; Gourley, Stephen A.
12
2010
The role of growth factors in avascular tumour growth. Zbl 0898.92018
Byrne, H. M.; Gourley, S. A.
11
1997
Instability in a predator-prey system with delay and spatial averaging. Zbl 0848.92014
Gourley, S. A.
11
1996
Global stability in a model of the glucose-insulin interaction with time delay. Zbl 1059.92023
Bennett, D. L.; Gourley, S. A.
11
2004
Dynamics of a stage-structured population model on an isolated finite lattice. Zbl 1112.34061
Kyrychko, Y.; Gourley, S. A.; Bartuccelli, M. V.
11
2006
A mathematical model for the spatial spread and biocontrol of the Asian longhorned beetle. Zbl 1304.34137
Gourley, Stephen A.; Lou, Yijun
11
2014
A delay equation model for oviposition habitat selection by mosquitoes. Zbl 1253.35187
Gourley, Stephen A.; Ruan, Shigui
10
2012
Stability and persistence in a model for bluetongue dynamics. Zbl 1231.34147
Gourley, Stephen A.; Thieme, Horst R.; van den Driessche, P.
10
2011
Delay equation models for populations that experience competition at immature life stages. Zbl 1327.34128
Gourley, Stephen A.; Liu, Rongsong
10
2015
Positivity and the attractor dimension in a fourth-order reaction-diffusion equation. Zbl 1056.37085
Bartuccelli, M. V.; Gourley, S. A.; Ilyin, A. A.
10
2002
Two-species competition with high dispersal: the winning strategy. Zbl 1070.92038
Gourley, Stephen A.; Kuang, Yang
10
2004
Dynamics of a neutral delay equation for an insect population with long larval and short adult phases. Zbl 1178.34101
Gourley, Stephen A.; Kuang, Yang
8
2009
Mechanisms for stabilisation and destabilisation of systems of reaction-diffusion equations. Zbl 0858.92006
Gourley, S. A.; Britton, N. F.; Chaplain, M. A. J.; Byrne, H. M.
8
1996
Linear stability criteria for population models with periodically perturbed delays. Zbl 0961.92026
Schley, D.; Gourley, S. A.
7
2000
Periodic oscillations in a model of the glucose-insulin interaction with delay and periodic forcing. Zbl 1053.92019
Bennett, D. L.; Gourley, S. A.
7
2004
Global attraction to the origin in a parametrically driven nonlinear oscillator. Zbl 1068.34053
Bartuccelli, M. V.; Deane, J. H. B.; Gentile, G.; Gourley, S. A.
7
2004
Selection rules for periodic orbits and scaling laws for a driven damped quartic oscillator. Zbl 1156.34321
Bartuccelli, Michele V.; Berretti, Alberto; Deane, Jonathan H. B.; Gentile, Guido; Gourley, Stephen A.
6
2008
Comparison and convergence to equilibrium in a nonlocal delayed reaction-diffusion model on an infinite domain. Zbl 1091.35107
Kyrychko, Y.; Gourley, S. A.; Bartuccelli, M. V.
6
2005
Modelling the dynamics of bluetongue disease and the effect of seasonality. Zbl 1306.34127
O’Farrell, Hayley; Gourley, Stephen A.
6
2014
Pauses of larval development and their consequences for stage-structured populations. Zbl 1367.92095
Brunner, Hermann; Gourley, Stephen A.; Liu, Rongsong; Xiao, Yanyu
6
2017
Length scales in solutions of a scalar reaction-diffusion equation with delay. Zbl 1020.35504
Gourley, S. A.; Bartuccelli, M. V.
5
1995
A mathematical model for the control and eradication of a wood boring beetle infestation. Zbl 1165.34047
Gourley, Stephen A.; Zou, Xingfu
5
2008
Intra-specific competition and insect larval development: a model with time-dependent delay. Zbl 1367.34099
Gourley, Stephen A.; Liu, Rongsong; Lou, Yijun
5
2017
Existence and construction of travelling wavefront solutions of Fisher equations with fourth-order perturbations. Zbl 0986.34039
Gourley, S. A.; Bartuccelli, M. V.
4
2000
Extinction and periodic oscillations in an age-structured population model in a patchy environment. Zbl 1056.34081
Gourley, Stephen A.; Wu, Jianhong
4
2004
Uniform persistence in a model for bluetongue dynamics. Zbl 1300.34185
Gourley, Stephen A.; Röst, Gergely; Thieme, Horst R.
4
2014
Role of white-tailed deer in geographic spread of the black-legged tick Ixodes scapularis: analysis of a spatially nonlocal model. Zbl 1406.92497
Gourley, Stephen A.; Lai, Xiulan; Shi, Junping; Wang, Wendi; Xiao, Yanyu; Zou, Xingfu
4
2018
Age-dependent intra-specific competition in pre-adult life stages and its effects on adult population dynamics. Zbl 1375.92053
Liu, Rongsong; Röst, Gergely; Gourley, Stephen A.
4
2016
Linear stability criteria in a reaction-diffusion equation with spatially inhomogeneous delay. Zbl 0931.35189
Schley, D.; Gourley, S. A.
3
1999
Conditions for positivity of solutions of a class of dissipative partial differential equations. Zbl 0941.35005
Bartuccelli, M. V.; Gourley, S. A.; Woolcock, C. J.
3
1998
Modeling the dynamics of woody plant-herbivore interactions with age-dependent toxicity. Zbl 1303.92134
Liu, Rongsong; Gourley, Stephen A.; DeAngelis, Donald L.; Bryant, John P.
3
2012
A mathematical model for the control and eradication of a wood boring beetle infestation. Zbl 1254.34116
Gourley, Stephen A.; Zou, Xingfu
3
2011
An advection and age-structured approach to modeling bird migration and indirect transmission of avian influenza. Zbl 1410.34250
Gourley, Stephen A.; Jennings, Rachel; Liu, Rongsong
2
2015
A mathematical model for biocontrol of the invasive weed Fallopia japonica. Zbl 1352.92124
Gourley, Stephen A.; Li, Jing; Zou, Xingfu
2
2016
Delayed action insecticides and their role in mosquito and malaria control. Zbl 1295.92027
Wang, Chuncheng; Gourley, Stephen A.; Liu, Rongsong
2
2014
A model for the biocontrol of mosquitoes using predatory fish. Zbl 1308.34109
Liu, Rongsong; Gourley, Stephen A.
2
2014
Global convergence in a reaction-diffusion equation with piecewise constant argument. Zbl 0988.35079
Byrne, H. M.; Gourley, S. A.
1
2001
A mathematical model of woody plant chemical defenses and snowshoe hare feeding behavior in boreal forests: the effect of age-dependent toxicity of twig segments. Zbl 1402.92426
Liu, Rongsong; Gourley, Stephen A.; Deangelis, Donald L.; Bryant, John P.
1
2013
Resistance to larvicides in mosquito populations and how it could benefit malaria control. Zbl 1267.35237
Liu, Rongsong; Gourley, Stephen A.
1
2013
A population model with time-dependent delay. Zbl 1185.35125
Bartuccelli, M. V.; Gourley, S. A.
1
1997
An age-structured model of bird migration. Zbl 1358.92104
Gourley, S. A.; Liu, Rongsong
1
2015
Role of white-tailed deer in geographic spread of the black-legged tick Ixodes scapularis: analysis of a spatially nonlocal model. Zbl 1406.92497
Gourley, Stephen A.; Lai, Xiulan; Shi, Junping; Wang, Wendi; Xiao, Yanyu; Zou, Xingfu
4
2018
Modelling Wolbachia infection in a sex-structured mosquito population carrying West Nile virus. Zbl 1387.92082
Farkas, József Z.; Gourley, Stephen A.; Liu, Rongsong; Yakubu, Abdul-Aziz
17
2017
Pauses of larval development and their consequences for stage-structured populations. Zbl 1367.92095
Brunner, Hermann; Gourley, Stephen A.; Liu, Rongsong; Xiao, Yanyu
6
2017
Intra-specific competition and insect larval development: a model with time-dependent delay. Zbl 1367.34099
Gourley, Stephen A.; Liu, Rongsong; Lou, Yijun
5
2017
Stage-structured models of intra- and inter-specific competition within age classes. Zbl 1382.34089
Fang, Jian; Gourley, Stephen A.; Lou, Yijun
18
2016
Age-dependent intra-specific competition in pre-adult life stages and its effects on adult population dynamics. Zbl 1375.92053
Liu, Rongsong; Röst, Gergely; Gourley, Stephen A.
4
2016
A mathematical model for biocontrol of the invasive weed Fallopia japonica. Zbl 1352.92124
Gourley, Stephen A.; Li, Jing; Zou, Xingfu
2
2016
Delay equation models for populations that experience competition at immature life stages. Zbl 1327.34128
Gourley, Stephen A.; Liu, Rongsong
10
2015
An advection and age-structured approach to modeling bird migration and indirect transmission of avian influenza. Zbl 1410.34250
Gourley, Stephen A.; Jennings, Rachel; Liu, Rongsong
2
2015
An age-structured model of bird migration. Zbl 1358.92104
Gourley, S. A.; Liu, Rongsong
1
2015
A mathematical model for the spatial spread and biocontrol of the Asian longhorned beetle. Zbl 1304.34137
Gourley, Stephen A.; Lou, Yijun
11
2014
Modelling the dynamics of bluetongue disease and the effect of seasonality. Zbl 1306.34127
O’Farrell, Hayley; Gourley, Stephen A.
6
2014
Uniform persistence in a model for bluetongue dynamics. Zbl 1300.34185
Gourley, Stephen A.; Röst, Gergely; Thieme, Horst R.
4
2014
Delayed action insecticides and their role in mosquito and malaria control. Zbl 1295.92027
Wang, Chuncheng; Gourley, Stephen A.; Liu, Rongsong
2
2014
A model for the biocontrol of mosquitoes using predatory fish. Zbl 1308.34109
Liu, Rongsong; Gourley, Stephen A.
2
2014
A non-local evolution equation model of cell-cell adhesion in higher dimensional space. Zbl 1448.92068
Dyson, Janet; Gourley, Stephen A.; Webb, Glenn F.
13
2013
A mathematical model of woody plant chemical defenses and snowshoe hare feeding behavior in boreal forests: the effect of age-dependent toxicity of twig segments. Zbl 1402.92426
Liu, Rongsong; Gourley, Stephen A.; Deangelis, Donald L.; Bryant, John P.
1
2013
Resistance to larvicides in mosquito populations and how it could benefit malaria control. Zbl 1267.35237
Liu, Rongsong; Gourley, Stephen A.
1
2013
A delay equation model for oviposition habitat selection by mosquitoes. Zbl 1253.35187
Gourley, Stephen A.; Ruan, Shigui
10
2012
Modeling the dynamics of woody plant-herbivore interactions with age-dependent toxicity. Zbl 1303.92134
Liu, Rongsong; Gourley, Stephen A.; DeAngelis, Donald L.; Bryant, John P.
3
2012
The interaction of migratory birds and domestic poultry and its role in sustaining avian influenza. Zbl 1231.34146
Bourouiba, Lydia; Gourley, Stephen A.; Liu, Rongsong; Wu, Jianhong
16
2011
Slowing the evolution of insecticide resistance in mosquitoes: a mathematical model. Zbl 1228.35257
Gourley, Stephen A.; Liu, Rongsong; Wu, Jianhong
13
2011
Stability and persistence in a model for bluetongue dynamics. Zbl 1231.34147
Gourley, Stephen A.; Thieme, Horst R.; van den Driessche, P.
10
2011
A mathematical model for the control and eradication of a wood boring beetle infestation. Zbl 1254.34116
Gourley, Stephen A.; Zou, Xingfu
3
2011
Spatiotemporal distributions of migratory birds: patchy models with delay. Zbl 1195.34126
Gourley, Stephen A.; Liu, Rongsong; Wu, Jianhong
23
2010
Existence and asymptotic properties of solutions of a nonlocal evolution equation modeling cell-cell adhesion. Zbl 1222.35030
Dyson, Janet; Gourley, Stephen A.; Villella-Bressan, Rosanna; Webb, Glenn F.
18
2010
Perverse consequences of infrequently culling a pest. Zbl 1201.92066
Terry, Alan J.; Gourley, Stephen A.
12
2010
Boundedness of solutions of a non-local reaction-diffusion model for adhesion in cell aggregation and cancer invasion. Zbl 1194.35219
Sherratt, Jonathan A.; Gourley, Stephen A.; Armstrong, Nicola J.; Painter, Kevin J.
33
2009
Dynamics of a neutral delay equation for an insect population with long larval and short adult phases. Zbl 1178.34101
Gourley, Stephen A.; Kuang, Yang
8
2009
Dynamics of a delay differential equation model of hepatitis B virus infection. Zbl 1140.92014
Gourley, Stephen A.; Kuang, Yang; Nagy, John D.
80
2008
Selection rules for periodic orbits and scaling laws for a driven damped quartic oscillator. Zbl 1156.34321
Bartuccelli, Michele V.; Berretti, Alberto; Deane, Jonathan H. B.; Gentile, Guido; Gourley, Stephen A.
6
2008
A mathematical model for the control and eradication of a wood boring beetle infestation. Zbl 1165.34047
Gourley, Stephen A.; Zou, Xingfu
5
2008
Eradicating vector-borne diseases via age-structured culling. Zbl 1115.92041
Gourley, Stephen A.; Liu, Rongsong; Wu, Jianhong
23
2007
Some vector borne diseases with structured host populations: extinction and spatial spread. Zbl 1123.35083
Gourley, Stephen A.; Liu, Rongsong; Wu, Jianhong
18
2007
Delayed non-local diffusive systems in biological invasion and disease spread. Zbl 1130.35127
Gourley, S. A.; Wu, J.
113
2006
Extinction criteria in stage-structured population models with impulsive culling. Zbl 1120.34064
Simons, R. R. L.; Gourley, S. A.
15
2006
Dynamics of a stage-structured population model on an isolated finite lattice. Zbl 1112.34061
Kyrychko, Y.; Gourley, S. A.; Bartuccelli, M. V.
11
2006
A delay reaction-diffusion model of the spread of bacteriophage infection. Zbl 1068.92042
Gourley, Stephen A.; Kuang, Yang
51
2005
A nonlocal reaction-diffusion model for a single species with stage structure and distributed maturation delay. Zbl 1079.35015
Al-Omari, J. F. M.; Gourley, S. A.
36
2005
Monotone wave-fronts in a structured population model with distributed maturation delay. Zbl 1086.92043
Al-Omari, J. F. M.; Gourley, S. A.
26
2005
Dynamics of a stage-structured population model incorporating a state-dependent maturation delay. Zbl 1088.34070
Al-Omari, J. F. M.; Gourley, S. A.
25
2005
Linear stability of travelling fronts in an age-structured reaction-diffusion population model. Zbl 1069.92018
Gourley, S. A.
13
2005
Comparison and convergence to equilibrium in a nonlocal delayed reaction-diffusion model on an infinite domain. Zbl 1091.35107
Kyrychko, Y.; Gourley, S. A.; Bartuccelli, M. V.
6
2005
A stage structured predator-prey model and its dependence on maturation delay and death rate. Zbl 1055.92043
Gourley, Stephen A.; Kuang, Yang
177
2004
Asymptotic properties of a delay differential equation model for the interaction of glucose with plasma and interstitial insulin. Zbl 1043.92007
Bennett, D. L.; Gourley, S. A.
17
2004
Global stability in a model of the glucose-insulin interaction with time delay. Zbl 1059.92023
Bennett, D. L.; Gourley, S. A.
11
2004
Two-species competition with high dispersal: the winning strategy. Zbl 1070.92038
Gourley, Stephen A.; Kuang, Yang
10
2004
Periodic oscillations in a model of the glucose-insulin interaction with delay and periodic forcing. Zbl 1053.92019
Bennett, D. L.; Gourley, S. A.
7
2004
Global attraction to the origin in a parametrically driven nonlinear oscillator. Zbl 1068.34053
Bartuccelli, M. V.; Deane, J. H. B.; Gentile, G.; Gourley, S. A.
7
2004
Extinction and periodic oscillations in an age-structured population model in a patchy environment. Zbl 1056.34081
Gourley, Stephen A.; Wu, Jianhong
4
2004
Nonlocality of reaction-diffusion equations induced by delay: biological modeling and nonlinear dynamics. Zbl 1128.35360
Gourley, S. A.; So, J. W.-H.; Wu, J. H.
128
2003
Wavefronts and global stability in a time-delayed population model with stage structure. Zbl 1047.92037
Gourley, Stephen A.; Kuang, Yang
96
2003
Convergence and travelling fronts in functional differential equations with nonlocal terms: A competition model. Zbl 1040.92045
Gourley, Stephen A.; Ruan, Shigui
93
2003
Stability and traveling fronts in Lotka-Volterra competition models with stage structure. Zbl 1058.92037
Al-Omari, J. F. M.; Gourley, S. A.
48
2003
Extinction and wavefront propagation in a reaction-diffusion model of a structured population with distributed maturation delay. Zbl 1049.35102
Gourley, S. A.; So, J. W.-H.
25
2003
Spatio-temporal delays in a nutrient-plankton model on a finite domain: Linear stability and bifurcations. Zbl 1026.92050
Gourley, Stephen A.; Ruan, Shigui
15
2003
Dynamics of a food-limited population model incorporating nonlocal delays on a finite domain. Zbl 0993.92027
Gourley, S. A.; So, J. W.-H.
84
2002
Travelling fronts for the KPP equation with spatio-temporal delay. Zbl 1005.92024
Ashwin, P.; Bartuccelli, M. V.; Bridges, T. J.; Gourley, S. A.
80
2002
Monotone travelling fronts in an age-structured reaction-diffusion model of a single species. Zbl 1013.92032
Al-Omari, J.; Gourley, S. A.
74
2002
Travelling fronts in a food-limited population model with time delay. Zbl 1006.35051
Gourley, S. A.; Chaplain, M. A. J.
35
2002
Positivity and the attractor dimension in a fourth-order reaction-diffusion equation. Zbl 1056.37085
Bartuccelli, M. V.; Gourley, S. A.; Ilyin, A. A.
10
2002
Spatio-temporal pattern formation in a nonlocal reaction-diffusion equation. Zbl 0988.35082
Gourley, S. A.; Chaplain, M. A. J.; Davidson, F. A.
46
2001
Wave front solutions of a diffusive delay model for populations of Daphnia magna. Zbl 0998.92029
Gourley, S. A.
24
2001
The effects of temporal delays in a model for a food-limited, diffusing population. Zbl 0992.35047
Davidson, F. A.; Gourley, S. A.
18
2001
Global convergence in a reaction-diffusion equation with piecewise constant argument. Zbl 0988.35079
Byrne, H. M.; Gourley, S. A.
1
2001
Travelling front solutions of a nonlocal Fisher equation. Zbl 0982.92028
Gourley, S. A.
119
2000
Travelling fronts in the diffusive Nicholson’s blowflies equation with distributed delays. Zbl 0969.35133
Gourley, S. A.
63
2000
Dynamics of the diffusive Nicholson’s blowflies equation with distributed delay. Zbl 0973.34064
Gourley, S. A.; Ruan, S.
54
2000
Linear stability criteria for population models with periodically perturbed delays. Zbl 0961.92026
Schley, D.; Gourley, S. A.
7
2000
Existence and construction of travelling wavefront solutions of Fisher equations with fourth-order perturbations. Zbl 0986.34039
Gourley, S. A.; Bartuccelli, M. V.
4
2000
Linear stability criteria in a reaction-diffusion equation with spatially inhomogeneous delay. Zbl 0931.35189
Schley, D.; Gourley, S. A.
3
1999
Conditions for positivity of solutions of a class of dissipative partial differential equations. Zbl 0941.35005
Bartuccelli, M. V.; Gourley, S. A.; Woolcock, C. J.
3
1998
Parameter domains for instability of uniform states in systems with many delays. Zbl 0878.92001
Gourley, S. A.; Bartuccelli, M. V.
15
1997
The role of growth factors in avascular tumour growth. Zbl 0898.92018
Byrne, H. M.; Gourley, S. A.
11
1997
A population model with time-dependent delay. Zbl 1185.35125
Bartuccelli, M. V.; Gourley, S. A.
1
1997
A predator-prey reaction-diffusion system with nonlocal effects. Zbl 0840.92018
Gourley, S. A.; Britton, N. F.
101
1996
Instability in a predator-prey system with delay and spatial averaging. Zbl 0848.92014
Gourley, S. A.
11
1996
Mechanisms for stabilisation and destabilisation of systems of reaction-diffusion equations. Zbl 0858.92006
Gourley, S. A.; Britton, N. F.; Chaplain, M. A. J.; Byrne, H. M.
8
1996
Length scales in solutions of a scalar reaction-diffusion equation with delay. Zbl 1020.35504
Gourley, S. A.; Bartuccelli, M. V.
5
1995
On a modified Volterra population equation with diffusion. Zbl 0805.35062
Gourley, S. A.; Britton, N. F.
23
1993
Instability of travelling wave solutions of a population model with nonlocal effects. Zbl 0832.35068
Gourley, S. A.; Britton, N. F.
21
1993
all top 5

Cited by 1,650 Authors

32 Gourley, Stephen A.
28 Li, Wan-Tong
27 Wu, Jianhong
27 Wu, Shiliang
26 Wang, Zhi Cheng
25 Ruan, Shigui
24 Zhao, Xiao-Qiang
23 Bartuccelli, Michele V.
23 Shi, Junping
22 Wei, Junjie
21 Trofimchuk, Sergei I.
20 Kuang, Yang
19 Guo, Shangjiang
19 Song, Yongli
19 Volpert, Vitaly A.
19 Yuan, Rong
17 Kashchenko, Sergeĭ Aleksandrovich
17 Weng, Peixuan
17 Zou, Xingfu
15 Lou, Yijun
15 Wang, Hao
15 Xu, Rui
14 Chen, Shanshan
13 Chaplain, Mark A. J.
13 Gentile, Guido
13 Han, Bang-Sheng
12 Liu, Shengqiang
12 Lv, Yunfei
11 Du, Zengji
11 Feng, Zhaosheng
11 Kyrychko, Yuliya N.
11 Lin, Guo
11 Liu, Rongsong
11 Mei, Ming
10 Blyuss, Konstantin B.
10 Pei, Yongzhen
10 Sherratt, Jonathan A.
10 Takeuchi, Yasuhiro
10 Wang, Wendi
10 Wu, YiXiang
9 Banerjee, Malay
9 Chattopadhyay, Joydev
9 Deane, Jonathan H. B.
9 Hsu, Cheng-Hsiung
9 Magal, Pierre
9 Terry, Alan J.
9 Yi, Taishan
8 Jin, Zhen
8 Ou, Chunhua
8 Shi, Qingyan
8 Tian, Yanling
8 Wang, Mingxin
7 Byrne, Helen Mary
7 Davidson, Fordyce A.
7 Ducrot, Arnaud
7 Jiang, Weihua
7 Liu, Sanyang
7 Lv, Guangying
7 Manna, Kalyan
7 Painter, Kevin J.
7 Rezunenko, Oleksandr V”yacheslavovych
7 Song, Xinyu
7 Tian, Canrong
7 Wu, Chufen
7 Xu, Zhiting
7 Yan, Xiangping
7 Yuan, Yueding
7 Zhang, Qingling
7 Zhao, Haiqin
7 Zhu, Huaiping
6 Aguerrea, Maitere
6 Bai, Zhenguo
6 Dai, Binxiang
6 Fang, Jian
6 Ge, Zhihao
6 Guo, Zhiming
6 Huo, Hai-Feng
6 Kuniya, Toshikazu
6 Li, Jiaxu
6 Meng, Xinzhu
6 Peng, Yahong
6 Sun, Guiquan
6 Wang, Jinliang
6 Wang, Kaifa
6 Wang, Yifu
6 Webb, Glenn Francis
6 Yan, Shuling
6 Yin, Jingxue
6 Zhang, Guobao
6 Zhang, Xue
5 Al-Omari, Jafar Fawzi M.
5 Angelova, Maia N.
5 Cheke, Robert A.
5 Chen, Lansun
5 Chen, Yuming
5 Faria, Teresa
5 Hasík, Karel
5 Hattaf, Khalid
5 He, Yinnian
5 Huang, Jianhua
...and 1,550 more Authors
all top 5

Cited in 197 Serials

79 Journal of Differential Equations
61 Nonlinear Analysis. Real World Applications
54 Applied Mathematics and Computation
51 Discrete and Continuous Dynamical Systems. Series B
47 Journal of Mathematical Analysis and Applications
46 Journal of Mathematical Biology
34 Journal of Theoretical Biology
33 Bulletin of Mathematical Biology
31 Mathematical Biosciences and Engineering
30 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
29 Communications in Nonlinear Science and Numerical Simulation
28 ZAMP. Zeitschrift für angewandte Mathematik und Physik
27 Journal of Dynamics and Differential Equations
26 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
25 Mathematical Biosciences
23 Mathematics and Computers in Simulation
22 Applied Mathematics Letters
20 Journal of Computational and Applied Mathematics
20 Applied Mathematical Modelling
20 International Journal of Biomathematics
19 Mathematical Methods in the Applied Sciences
19 SIAM Journal on Applied Mathematics
19 Advances in Difference Equations
18 Chaos, Solitons and Fractals
17 Computers & Mathematics with Applications
16 Mathematical and Computer Modelling
14 Applicable Analysis
14 Abstract and Applied Analysis
13 Nonlinear Dynamics
12 Nonlinearity
12 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
12 Chaos
11 European Journal of Applied Mathematics
11 Discrete and Continuous Dynamical Systems
11 Communications on Pure and Applied Analysis
10 Discrete Dynamics in Nature and Society
10 Journal of Biological Dynamics
9 Physica D
9 Journal of Nonlinear Science
9 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
9 Journal of Applied Mathematics and Computing
9 Mathematical Modelling of Natural Phenomena
8 Computational and Applied Mathematics
8 Qualitative Theory of Dynamical Systems
7 Journal of Applied Mathematics
7 International Journal of Applied and Computational Mathematics
6 Proceedings of the American Mathematical Society
6 Differential Equations and Dynamical Systems
6 Journal of Biological Systems
6 Journal of Applied Analysis and Computation
5 Physica A
5 SIAM Journal on Mathematical Analysis
5 Electronic Journal of Differential Equations (EJDE)
5 Journal of Dynamical and Control Systems
5 Dynamical Systems
4 Journal of Mathematical Physics
4 Physics Letters. A
4 Rocky Mountain Journal of Mathematics
4 Theoretical Population Biology
4 Transactions of the American Mathematical Society
4 Japan Journal of Industrial and Applied Mathematics
4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
4 Acta Mathematica Sinica. English Series
4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
4 SIAM Journal on Applied Dynamical Systems
4 Boundary Value Problems
4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 Journal of the Franklin Institute
3 Mathematical Notes
3 Numerical Functional Analysis and Optimization
3 Applied Numerical Mathematics
3 Acta Mathematicae Applicatae Sinica. English Series
3 International Journal of Computer Mathematics
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Russian Mathematics
3 Calculus of Variations and Partial Differential Equations
3 Complexity
3 Journal of Difference Equations and Applications
3 Doklady Mathematics
3 Journal of Inequalities and Applications
3 Computational & Mathematical Methods in Medicine
3 Discrete and Continuous Dynamical Systems. Series S
3 Science China. Mathematics
2 Journal of Functional Analysis
2 Mathematische Annalen
2 Transactions of the Moscow Mathematical Society
2 Zeitschrift für Analysis und ihre Anwendungen
2 Acta Applicandae Mathematicae
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Dynamics and Stability of Systems
2 Journal of Scientific Computing
2 Computational Mathematics and Mathematical Physics
2 Applied Mathematics. Series B (English Edition)
2 Journal of Mathematical Sciences (New York)
2 Journal of the Egyptian Mathematical Society
2 Turkish Journal of Mathematics
2 Mathematical Problems in Engineering
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 The ANZIAM Journal
2 Mathematical Modelling and Analysis
...and 97 more Serials
all top 5

Cited in 37 Fields

967 Biology and other natural sciences (92-XX)
759 Partial differential equations (35-XX)
461 Ordinary differential equations (34-XX)
165 Dynamical systems and ergodic theory (37-XX)
84 Numerical analysis (65-XX)
51 Integral equations (45-XX)
37 Systems theory; control (93-XX)
34 Operator theory (47-XX)
19 Calculus of variations and optimal control; optimization (49-XX)
14 Difference and functional equations (39-XX)
14 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
12 Probability theory and stochastic processes (60-XX)
9 Mechanics of particles and systems (70-XX)
8 Fluid mechanics (76-XX)
8 Statistical mechanics, structure of matter (82-XX)
6 Mechanics of deformable solids (74-XX)
5 Real functions (26-XX)
5 Functional analysis (46-XX)
5 Global analysis, analysis on manifolds (58-XX)
5 Computer science (68-XX)
3 Integral transforms, operational calculus (44-XX)
3 Operations research, mathematical programming (90-XX)
3 Information and communication theory, circuits (94-XX)
2 Classical thermodynamics, heat transfer (80-XX)
1 History and biography (01-XX)
1 Topological groups, Lie groups (22-XX)
1 Functions of a complex variable (30-XX)
1 Potential theory (31-XX)
1 Approximations and expansions (41-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Differential geometry (53-XX)
1 Manifolds and cell complexes (57-XX)
1 Statistics (62-XX)
1 Optics, electromagnetic theory (78-XX)
1 Quantum theory (81-XX)
1 Relativity and gravitational theory (83-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year