# Items where Author is "Gourley, S"

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**46**.

## Article

Gourley, Stephen, Lai, X, Shi, J, Wang, W, Xiao, Y and Zou, X
(2018)
*Role of white-tailed deer in geographic spread of the black-legged tick Ixodes scapularis : analysis of a spatially nonlocal model*
Mathematical Biosciences and Engineering.

Alsheri, Ahuod and Gourley, Stephen
(2017)
*A mathematical model for the transmission of
Louse-Borne Relapsing Fever*
European Journal of Applied Mathematics.

Brunner, H, Gourley, Stephen, Liu, R and Xiao, Y
(2017)
*Pauses of larval development and its consequences for stage-structured populations*
SIAM Journal on Applied Mathematics, 77 (3).
pp. 977-994.

Farkas, JZ, Gourley, Stephen, Liu, R and Yakubu, A-A
(2017)
*Modelling Wolbachia infection in a sex-structured mosquito population carrying West Nile virus*
Journal of Mathematical Biology, 75 (3).
pp. 621-647.

Gourley, SA, Li, J and Zou, X
(2016)
*A mathematical model for biocontrol of the invasive weed Fallopia japonica*
Bulletin of Mathematical Biology, 78 (8).
pp. 1678-1702.

Liu, R, Roest, G and Gourley, SA
(2016)
*Age-dependent intra-specific competition in pre-adult life stages and its effects on adult population dynamics*
EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 27.
pp. 131-156.

Gourley, SA and Liu, R
(2015)
*Delay equation models for populations that experience competition at immature life stages*
JOURNAL OF DIFFERENTIAL EQUATIONS, 259 (5).
pp. 1757-1777.

DeAngelis, DL, Bryant, JP, Liu, R, Gourley, SA, Krebs, CJ and Reichardt, PB
(2015)
*A plant toxin mediated mechanism for the lag in snowshoe hare population recovery following cyclic declines*
OIKOS, 124 (6).
pp. 796-805.

Gourley, SA, Jennings, R and Liu, R
(2015)
*AN ADVECTION AND AGE-STRUCTURED APPROACH TO MODELING BIRD MIGRATION AND INDIRECT TRANSMISSION OF AVIAN INFLUENZA*
SIAM JOURNAL ON APPLIED MATHEMATICS, 75 (4).
pp. 1620-1647.

Gourley, SA and Liu, R
(2015)
*An Age-structured Model of Bird Migration*
MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 10 (6).
pp. 61-76.

Liu, R and Gourley, SA
(2014)
*A MODEL FOR THE BIOCONTROL OF MOSQUITOES USING PREDATORY FISH*
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 19 (10).
pp. 3283-3298.

O'Farrell, H and Gourley, SA
(2014)
*Modelling the Dynamics of Bluetongue Disease and the Effect of Seasonality*
BULLETIN OF MATHEMATICAL BIOLOGY, 76 (8).
pp. 1981-2009.

Wang, C, Gourley, SA and Liu, R
(2014)
*Delayed action insecticides and their role in mosquito and malaria control*
Journal of Mathematical Biology, 68 (1-2).
pp. 417-451.

Gourley, SA and Lou, Y
(2014)
*A MATHEMATICAL MODEL FOR THE SPATIAL SPREAD AND BIOCONTROL OF THE ASIAN LONGHORNED BEETLE*
SIAM JOURNAL ON APPLIED MATHEMATICS, 74 (3).
pp. 864-884.

Gourley, SA, Roest, G and Thieme, HR
(2014)
*UNIFORM PERSISTENCE IN A MODEL FOR BLUETONGUE DYNAMICS*
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 46 (2).
pp. 1160-1184.

Dyson, J, Gourley, SA and Webb, GF
(2013)
*A non-local evolution equation model of cell-cell adhesion in higher dimensional space*
Journal of Biological Dynamics, 7 (SUPPL.).
pp. 68-87.

Liu, R and Gourley, SA
(2013)
*Resistance to larvicides in mosquito populations and how it could benefit malaria control*
EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 24.
pp. 415-436.

Liu, R, Gourley, SA, Deangelis, DL and Bryant, JP
(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*
SIAM JOURNAL ON APPLIED MATHEMATICS, 73 (1).
pp. 281-304.

Gourley, SA and Ruan, S
(2011)
*A delay equation model for oviposition habitat selection by mosquitoes.*
J Math Biol.

Gourley, SA, Liu, R and Wu, J
(2011)
*Slowing the evolution of insecticide resistance in mosquitoes: a mathematical model*
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 467 (2132).
pp. 2127-2148.

Bourouiba, L, Gourley, SA, Liu, RS and Wu, JH
(2011)
*THE INTERACTION OF MIGRATORY BIRDS AND DOMESTIC POULTRY AND ITS ROLE IN SUSTAINING AVIAN INFLUENZA*
SIAM J APPL MATH, 71 (2).
pp. 487-516.

Liu, R, Gourley, SA, DeAngelis, DL and Bryant, JP
(2011)
*Modeling the dynamics of woody plant-herbivore interactions with age-dependent toxicity*
Journal of Mathematical Biology.

DeAngelis, DL, Ju, S, Liu, R, Bryant, JP and Gourley, SA
(2011)
*Plant allocation of carbon to defense as a function of herbivory, light and nutrient availability*
Theoretical Ecology.

Gourley, SA, Thieme, HR and van den Driessche, P
(2011)
*STABILITY AND PERSISTENCE IN A MODEL FOR BLUETONGUE DYNAMICS*
SIAM J APPL MATH, 71 (4).
pp. 1280-1306.

Dyson, J, Gourley, SA, Villella-Bressan, R and Webb, GF
(2010)
*EXISTENCE AND ASYMPTOTIC PROPERTIES OF SOLUTIONS OF A NONLOCAL EVOLUTION EQUATION MODELING CELL-CELL ADHESION*
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 42 (4).
pp. 1784-1804.

Terry, AJ and Gourley, SA
(2010)
*Perverse Consequences of Infrequently Culling a Pest*
Bulletin of Mathematical Biology, 72 (7).
pp. 1666-1695.

Gourley, SA, Liu, RS and Wu, JH
(2010)
*Spatiotemporal Distributions of Migratory Birds: Patchy Models with Delay*
SIAM J APPL DYN SYST, 9 (2).
pp. 589-610.

Gourley, SA and Kuang, Y
(2009)
*Dynamics of a neutral delay equation for an insect population with long larval and short adult phases*
JOURNAL OF DIFFERENTIAL EQUATIONS, 246 (12).
pp. 4653-4669.

Sherratt, JA, Gourley, SA, Armstrong, NJ and Painter, KJ
(2009)
*Boundedness of solutions of a non-local reaction-diffusion model for adhesion in cell aggregation and cancer invasion*
EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 20.
pp. 123-144.

Bartuccelli, MV, Berretti, A, Deane, JHB, Gentile, G and Gourley, SA
(2008)
*Selection rules for periodic orbits and scaling laws for a driven damped quartic oscillator*
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 9 (5).
pp. 1966-1988.

Gourley, SA, Kuang, Y and Nagy, JD
(2008)
*Dynamics of a delay differential equation model of hepatitis B virus infection.*
J Biol Dyn, 2 (2).
pp. 140-153.

Gourley, SA, Liu, R and Wu, J
(2008)
*Spatiotemporal patterns of disease spread: Interaction of physiological structure, spatial movements, disease progression and human intervention*
LECT NOTES MATH, 1936.
pp. 165-208.

Gourley, SA and Zou, XF
(2008)
*A mathematical model for the control and eradication of a wood boring beetle infestation*
SIAM J APPL MATH, 68 (6).
pp. 1665-1687.

Gourley, SA, Liu, R and Wu, J
(2007)
*Eradicating vector-borne diseases via age-structured culling*
JOURNAL OF MATHEMATICAL BIOLOGY, 54 (3).
pp. 309-335.

Gourley, Stephen A., Liu, R. and Wu, J.
(2007)
*Some vector borne diseases with structured host populations: extinction and spatial spread*
SIAM Journal on Applied Mathematics, 67 (2).
pp. 408-433.

Gourley, Stephen A, Liu, Rongsong and Wu, Jianhong
(2007)
*Some Vector Borne Diseases With Structured Host Populations: Extinction and Spatial Spread*
SIAM Journal on Applied Mathematics, 67 (2).
pp. 408-433.

Kyrychko, Y, Gourley, Stephen and Bartuccelli, Michele
(2006)
*Dynamics of a stage-structured population model on an isolated finite lattice*
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 37 (5).
pp. 1688-1708.

Simons, RRL and Gourley, SA
(2006)
*Extinction criteria in stage-structured population models with impulsive culling*
SIAM JOURNAL ON APPLIED MATHEMATICS, 66 (6).
pp. 1853-1870.

Gourley, S A and Kuang, Y
(2005)
*A Delay Reaction-Diffusion Model of the Spread of Bacteriophage Infection*
SIAM Journal on Applied Mathematics, 65 (2).
pp. 550-566.

Al-Omari, J F and Gourley, S A
(2005)
*A Nonlocal Reaction-Diffusion Model for a Single Species with Stage Structure and Distributed Maturation Delay*
European Journal of Applied Mathematics, 16 (1).

Bartuccelli, Michele V., Deane, Jonathan H. B., Gentile, G. and Gourley, Stephen A.
(2004)
*Global attraction to the origin in a parametrically driven nonlinear oscillator*
Applied Mathematics and Computation, 153.
pp. 1-11.

Bennett, D. L. and Gourley, S. A.
(2004)
*Global stability in a model of the glucose-insulin interaction with time delay*
the <i>European Journal of Applied Mathematics</i>, 15.
pp. 203-221.

Bennett, D L and Gourley, S A
(2004)
*Global Stability in a Model of the Glucose-Insulin Interaction with Time Delay*
European Journal of Applied Mathematics, 15 (2).

Schley, D. and Gourley, S. A.
(2002)
*Linear and nonlinear stability in a diffusional ecotoxicological model with time delays*
Discrete and Continuous Dynamical Systems, 2.
pp. 575-590.

Bartuccelli, M. V., Gourley, S. A. and Ilyin, A. A.
(2002)
*Positivity and the attractor dimension in a fourth-order reaction-diffusion equation*
458.
pp. 1431-1446.

## Conference or Workshop Item

Gourley, SA and Wu, J
(2006)
*Delayed non-local diffusive systems in biological invasion and disease spread*
In: International Conference on Nonlinear Dynamics and Evolution Equations, 2004-07-06 - 2004-07-10, Memorial Univ Newfoundland, St Johns, CANADA.