Thomas W. Carr

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All published works

Action	Title	Year	Authors
+ PDF Chat	Asymmetric noise-induced large fluctuations in coupled systems	2017	Ira B. Schwartz Klimka Szwaykowska Thomas W. Carr
+	Physics of Mixed Reality	2017	Ira B. Schwartz Klimka Szwaykowska Thomas W. Carr
+	Equivalent probability density moments determine equivalent epidemics in an SIRS model with temporary immunity	2016	Thomas W. Carr
+	An SIRS epidemic model with a rapidly decreasing probability for immunity	2015	Thomas W. Carr
+ PDF Chat	Noise-induced switching and extinction in systems with delay	2015	Ira B. Schwartz Lora Billings Thomas W. Carr M. I. Dykman
+	Noise Induced Switching and Extinction in Systems with Delay	2012	Ira B. Schwartz Lora Billings Thomas W. Carr M. I. Dykman
+	Noise Induced Switching in Delayed Systems	2012	Ira B. Schwartz Thomas W. Carr Lora Billings M. I. Dykman
+	Noise Induced Switching and Extinction in Systems with Delay	2012	Ira B. Schwartz Lora Billings Thomas W. Carr M. I. Dykman
+	Effect of state-dependent delay on a weakly damped nonlinear oscillator	2011	Jonathan L. Mitchell Thomas W. Carr
+	An SIR epidemic model with partial temporary immunity modeled with delay	2009	Michael L. Taylor Thomas W. Carr
+	An SIR epidemic model with partial temporary immunity modeled with delay	2008	Thomas W. Carr
+ PDF Chat	Delayed‐Mutual Coupling Dynamics of Lasers: Scaling Laws and Resonances	2006	Thomas W. Carr Ira B. Schwartz Minyoung Kim Rajarshi Roy
+	Delayed-mutual coupling dynamics of lasers: scaling laws and resonances	2006	Thomas W. Carr Ira B. Schwartz Minyoung Kim Rajarshi Roy
+ PDF Chat	Negative-coupling resonances in pump-coupled lasers	2005	Thomas W. Carr Michael L. Taylor Ira B. Schwartz
+	On a Formula in the Calculus of Finite Differences	1869	Thomas W. Carr

Common Coauthors

Coauthor	Papers Together
Ira B. Schwartz	9
Lora Billings	4
M. I. Dykman	4
Michael L. Taylor	2
Klimka Szwaykowska	2
Rajarshi Roy	2
Minyoung Kim	2
Jonathan L. Mitchell	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Infinite subharmonic bifurcation in an SEIR epidemic model	1983	Ira B. Schwartz Hal L. Smith	4
+	An SIR epidemic model with partial temporary immunity modeled with delay	2009	Michael L. Taylor Thomas W. Carr	4
+	Multiple Scale and Singular Perturbation Methods	1996	J. Kevorkian J. D. Cole	4
+	Nonlinear Oscillations in Epidemic Models	1981	Herbert W. Hethcote Harlan W. Stech P. van den Driessche	3
+	Ordinary and Delay Differential Equations	1977	R. D. Driver	3
+	Prelude to hopf bifurcation in an epidemic model: Analysis of a characteristic equation associated with a nonlinear Volterra integral equation	1982	Odo Diekmann R. Montijn	3
+	The Equation<i>x′</i>(<i>t</i>) =<i>ax</i>(<i>t</i>) +<i>bx</i>(<i>t</i>− τ) With “Small” Delay	1973	R. D. Driver D.W. Sasser M Slater	3
+ PDF Chat	Mathematical Models in Population Biology and Epidemiology	2001	Fred Brauer Carlos Castillo‐Chávez	3
+	Introduction to the Theory and Application of Differential Equations with Deviating Arguments	1973		3
+ PDF Chat	Delayed‐Mutual Coupling Dynamics of Lasers: Scaling Laws and Resonances	2006	Thomas W. Carr Ira B. Schwartz Minyoung Kim Rajarshi Roy	3
+ PDF Chat	Stability, multiplicity and global continuation of symmetric periodic solutions of a nonlinear Volterra integral equation	1985	S.-N. Chow Odo Diekmann John Mallet‐Paret	3
+	A friendly Fortran DDE solver	2005	S. Thompson L. F. Shampine	3
+ PDF Chat	Stability and Bifurcations in an Epidemic Model with Varying Immunity Period	2009	Konstantin B. Blyuss Yuliya N. Kyrychko	3
+	The effect of integral conditions in certain equations modelling epidemics and population growth	1980	Stavros Busenberg Kenneth L. Cooke	2
+	Models for the spread of universally fatal diseases	1990	Fred Brauer	2
+	Global stability in cyclic epidemic models with disease fatalities	1998	Horst R. Thieme P. van den Driessche	2
+	The numerical solution of Volterra equations	1986	Hermann Brunner P. J. van der Houwen	2
+	The Mathematics of Infectious Diseases	2000	Herbert W. Hethcote	2
+ PDF Chat	Destabilization of epidemic models with the inclusion of realistic distributions of infectious periods	2001	Alun L. Lloyd	2
+	AUTO-07p: Continuation and bifurcation software for ordinary differential equations	2007	Eusebius J. Doedel Alan R. Champneys Fabio Dercole Thomas F. Fairgrieve Yuri A. Kuznetsov Bart E. Oldeman Randy Paffenroth Björn Sandstede X. J. Wang C. H. Zhang	2
+	Realistic Distributions of Infectious Periods in Epidemic Models: Changing Patterns of Persistence and Dynamics	2001	Alun L. Lloyd	2
+	Interaction of maturation delay and nonlinear birth in population and epidemic models	1999	K. L. Cooke P. van den Driessche Xingfu Zou	2
+ PDF Chat	Disease Extinction in the Presence of Random Vaccination	2008	M. I. Dykman Ira B. Schwartz Alexandra S. Landsman	2
+	Time Delay Induced Death in Coupled Limit Cycle Oscillators	1998	D. V. Ramana Reddy Abhijit Sen George L. Johnston	2
+ PDF Chat	DIFFERENTIAL-DIFFERENCE EQUATIONS	1987	Kenneth L. Cooke	2
+ PDF Chat	Large rare fluctuations in systems with delayed dissipation	2012	M. I. Dykman Ira B. Schwartz	2
+ PDF Chat	Driven response of time delay coupled limit cycle oscillators	2003	Ramana Dodla Abhijit Sen George L. Johnston	2
+	Effect of variability in infection period on the persistence and spatial spread of infectious diseases	1998	Matt J. Keeling Bryan T. Grenfell	2
+	Disease Extinction and Community Size: Modeling the Persistence of Measles	1997	Matt J. Keeling Bryan T. Grenfell	2
+ PDF Chat	An iterative action minimizing method for computing optimal paths in stochastic dynamical systems	2013	Brandon Lindley Ira B. Schwartz	2
+ PDF Chat	Epidemiological Models with Non-Exponentially Distributed Disease Stages and Applications to Disease Control	2007	Zhilan Feng Dashun Xu Haiyun Zhao	2
+	Stability in a class of cyclic epidemic models with delay	1981	Harlan W. Stech Michael D. Williams	2
+ PDF Chat	The Effect of Time Distribution Shape on a Complex Epidemic Model	2009	Martin Camitz Åke Svensson	2
+	Analysis of an SEIRS epidemic model with two delays	1996	K. L. Cooke P. van den Driessche	2
+	On the formulation of epidemic models (an appraisal of Kermack and McKendrick)	2012	Dimitri Breda Odo Diekmann Wieke Freudenburg-de Graaf Andrea Pugliese Rossana Vermiglio	2
+	Modeling diseases with latency and relapse	2007	P. van den Driessche Lin Wang Xingfu Zou	2
+	Some equations modelling growth processes and gonorrhea epidemics	1973	Kenneth L. Cooke James A. Yorke	2
+	Numerical solution of Volterra integral and integro-differential equations with rapidly vanishing convolution kernels	2007	Frank C. Hoppensteadt Z. Jackiewicz B. Zubik‐Kowal	2
+ PDF Chat	Time delay effects on coupled limit cycle oscillators at Hopf bifurcation	1999	D. V. Ramana Reddy Abhijit Sen George L. Johnston	2
+	Endemic Models with Arbitrarily Distributed Periods of Infection II: Fast Disease Dynamics and Permanent Recovery	2000	Zhilan Feng Horst R. Thieme	2
+ PDF Chat	Modelling diseases with relapse and nonlinear incidence of infection: a multi-group epidemic model	2014	Jinliang Wang Jingmei Pang Xianning Liu	2
+	Integral equation models for endemic infectious diseases	1980	Herbert W. Hethcote David Tudor	2
+ PDF Chat	Negative-coupling resonances in pump-coupled lasers	2005	Thomas W. Carr Michael L. Taylor Ira B. Schwartz	2
+	Modeling relapse in infectious diseases	2006	P. van den Driessche Xingfu Zou	2
+	Endemic Models with Arbitrarily Distributed Periods of Infection I: Fundamental Properties of the Model	2000	Zhilan Feng Horst R. Thieme	2
+ PDF Chat	Hopf bifurcations in time-delay systems with band-limited feedback	2005	Lucas Illing Daniel J. Gauthier	2
+	Theory of Functional Differential Equations	1977	Jack K. Hale	2
+	Threshold dynamics in an SEIRS model with latency and temporary immunity	2013	Yuan Yuan Jacques Bélair	2
+	A contribution to the mathematical theory of epidemics	1927	W. O. Kermack A. G. McKendrick	2
+	The Equation x � (t) = ax (t) + bx (t - τ) with "Small" Delay	1973	R. D. Driver D. W. Sasser M. L. Slater	2