Stephen Wirkus


4701 W. Thunderbird Road Glendale, AZ 85306


Stephen Wirkus earned his doctorate in applied mathematics at Cornell University in 1999. After holding academic appointments at Cornell and Cal Poly Pomona, he came to Arizona State University in 2007.
Among Wirkus' scholarly interests are mathematical biology, differential equations, dynamical systems, mathematical methods in physics, mathematical modeling, and numerical methods. His interest in mathematical biology is evidenced by his current work focusing on mathematical models of diffusely interacting populations, the retina, and gene networks. He also has worked recently on the mathematics of neuron firing and mathematical models of bipolar disorder.
Recently Wirkus has coauthored scholarly articles in journals such as the Journal of Theoretical Biology, Mathematical Medicine and Biology, Mathematical Biosciences and Engineering, and Discrete and Continuous Dynamical Systems. He is a manuscript referee for Journal of Vibration and Control and a manuscript reviewer for Chapman & Hall/CRC Press.
Wirkus has published the textbooks "A Course in Ordinary Differential Equations" (1st and 2nd editions) and A Course in Differential Equations with BoundaryValue Problems" with Chapman & Hall/CRC press that incorporates the popular mathematical software MATLAB, Maple and Mathematica.
Along with School of Mathematical and Natural Sciences' colleague Erika Camacho, Wirkus served as codirector of the Applied Mathematical Sciences Summer Institute, a summer undergraduate research program from 20052007.
Within the mathematical and natural sciences, Wirkus serves as chair of the Applied Mathematics Degree Program Committee. He has also served on various hiring and personnel committees. In Fall 2011, he was awarded the AGEP (NSF Alliances for Graduate Education and the Professoriate program) Mentoring Award from the Southern Regional Education Board (SREB). He has taught a variety of courses including Calculus with Analytic Geometry, Mathematical Models in Biology, Introduction to Geometry, Advanced Calculus, and Techniques and Applications of Applied Mathematics.
In May 2013, Wirkus was named ASU's Professor of the Year by the Sun Devil Family Association.
Wirkus has served as Associate Director and Interim Director of SMNS.
 Ph.D. Applied Mathematics, Cornell University 1999
 M.S. Applied Mathematics, Cornell University 1997
 B.S. Mathematics (Honors with Distinction), University of MissouriKansas City 1994
 B.S. Physics (Honors with Distinction), University of MissouriKansas City 1994
Mathematical Biology, Differential Equations, Dynamical Systems, Mathematical Methods in Physics, Mathematical Modeling, Numerical Methods
 Stephen A. Wirkus and Randall J. Swift. A Course in Ordinary Differential Equations. (2014).
 Erika Camacho, Christopher KribsZaleta, Stephen Wirkus. Metering Effects in Population Systems. Mathematical Biosciences and Engineering (2013).
 Erika Camacho, Christopher KribsZaleta, Stephen Wirkus. The Mathematical and Theoretical Biology Institutea Model of Mentorship Through Research. Mathematical Biosciences and Engineering (2013).
 Erika Camacho, Luis Melara, Cristina Villalobos, Stephen Wirkus. Optimal Control in the Treatment of Retinitis Pigmentosa. Bulletin of Mathematical Biology (2013).
 Erika Camacho, Stephen Wirkus. Tracing the Progression of Retinitis Pigmentosa via Photoreceptor Interactions. Journal of Theoretical Biology (2013).
 Beverly Burgett, Marisabel Rodriguez, Samantha Ryan, William Tressel, Oscar Patterson, Stephen Wirkus. WithinHost Dynamics of Antibiotic Resistance in Gonorrhea,. ASU's Mathematical, Computational & Modeling Sciences Center Technical Report (2012).
 E. Camacho, S. Wirkus, P. Marshall,. Mathematical modeling of fungal infection in immune compromised individuals: Implications for drug treatment. Journal of Theoretical Biology (2011).
 F. Berezovskaya, S. Wirkus, B. Song, C. CastilloChavez. Dynamics of population communities with prey migrations and Allee effects: a bifurcation approach. Mathematical Medicine and Biology (2011).
 J. Ames, A. Feiler, G. Mendoza, A. Rumpf, S. Wirkus. Determination of Tucson, Arizona as an Ecological Trap for Cooper's Hawks (Accipiter cooperii). ASU's Mathematical, Computational & Modeling Sciences Center Technical Report (2011).
 Erika Camacho, Miguel Colon, Daniel Hernandez, Ubaldo RodriguezBernier, Jon van Laarhoven, Stephen Wirkus. A Mathematical Model of Photoreceptor Interactions. Journal of Theoretical Biology (2010).
 Nicolas Crisosto, Cristopher KribsZaleta, Stephen Wirkus, Carlos CastilloChavez. Community Resilience in Collaborative Learning. Discrete and Continuous Dynamical Systems B (2010).
 Wirkus, Stephen, Switkes, Jennifer, Swift, Randall. Analysis of the Game "CoverUp" and Its Variations. The Mathematical Spectrum (2010).
 Darryl Daugherty, Tairi RoqueUrrea, John UrreaRoque, Jessica Troyer, Stephen Wirkus, Mason A. Porter. Mathematical models of bipolar disorder. Commun Nonlinear Sci Numer Simulat (2009).
 Stephen Wirkus, Mason A. Porter. Comment on ‘‘Bifurcation analysis of parametrically excited bipolar disorder model". Commun Nonlinear Sci Numer Simulat (2009).
 Faina Berezovskaya, Erika Camacho, Stephen Wirkus, Georgy Karev. "Traveling Wave" Solution of FitzHugh Model with CrossDiffusion. Mathematical Biosciences and Engineering (2008).
 Jeannine Abiva, Erika Camacho, Edna Joseph, Arpy Mikaelian, Charles Rogers, John Shelton, Stephen Wirkus. Alcohol's Effect on Neuron Firing. The Mathematical Scientist (2007).
 Camacho, Erika, Wirkus, Stephen. The Applied Mathematical Sciences Summer Institute. Promoting Undergraduate Research in Mathematics/ American Mathematical Society (2007).
 Wendy Caldwell, Benjamin Freedman, Luke Settles, Michael Thomas, Anarina Murillo, Erika Camacho, Stephen Wirkus. Substance Abuse via Legally Prescribed Drugs: The Case of Vicodin in the United States. ASU Mathematical, Computational & Modeling Sciences Center Technical Report (0).
 CastilloChavez,Carlos*, CastilloChavez,Carlos*, Berger,Roger L, Camacho,Erika T, Kang,Yun, Wirkus,Stephen A.. ASUSloan Program for Exceptional Mentoring (PEM) (ASUF 30006275). ASU FDN(7/1/2014  6/30/2017).
 CastilloChavez,Carlos*, CastilloChavez,Carlos*, Camacho,Erika T, ChowellPuente,Gerardo, Wirkus,Stephen A.. International Research Experience for Students (IRES) Project Proposal: Population Dynamics and Complex Systems: Challenges and Opportunities. NSFOIA(10/1/2013  9/30/2016).
 CastilloChavez,Carlos*, CastilloChavez,Carlos*, Camacho,Erika T, Mubayi,Anuj, Wirkus,Stephen A.. REU Site: The Mathematical and Theoretical Biology Institute. NSFMPSDMS(5/1/2013  4/30/2018).
 CastilloChavez,Carlos*, CastilloChavez,Carlos*, Camacho,Erika T, Wirkus,Stephen A.. Mathematical and Theoretical Biology Institute. NSA(4/1/2013  3/31/2014).
 CastilloChavez,Carlos*, CastilloChavez,Carlos*, Camacho,Erika T, Suslov,Sergei K, Wirkus,Stephen A.. GAANN Fellowships in Applied Mathematics in the Life and Social Sciences. EDPSE(8/16/2012  8/15/2016).
Courses
2023 Fall
Course Number  Course Title 

APM 792  Research 
APM 799  Dissertation 
2023 Summer
Course Number  Course Title 

APM 792  Research 
MAT 795  Continuing Registration 
MAT 595  Continuing Registration 
LSC 562  Applied Math Tech in Biology 
LSC 562  Applied Math Tech in Biology 
2023 Spring
Course Number  Course Title 

MAT 599  Thesis 
AML 799  Dissertation 
AML 792  Research 
APM 792  Research 
APM 799  Dissertation 
LSC 519  Applied Learning Lab 
MAT 275  Modern Differential Equations 
2022 Fall
Course Number  Course Title 

APM 792  Research 
APM 799  Dissertation 
2022 Summer
Course Number  Course Title 

APM 792  Research 
MAT 795  Continuing Registration 
MAT 595  Continuing Registration 
2022 Spring
Course Number  Course Title 

MAT 599  Thesis 
AML 799  Dissertation 
AML 792  Research 
APM 792  Research 
APM 799  Dissertation 
2021 Fall
Course Number  Course Title 

APM 792  Research 
MAT 499  Individualized Instruction 
MAT 499  Individualized Instruction 
APM 799  Dissertation 
MAT 452  Intro Chaos/Nonlinear Dynamics 
MAT 493  Honors Thesis 
MAT 275  Modern Differential Equations 
MAT 493  Honors Thesis 
2021 Summer
Course Number  Course Title 

APM 792  Research 
MAT 595  Continuing Registration 
LSC 562  Applied Math Tech in Biology 
2021 Spring
Course Number  Course Title 

MAT 599  Thesis 
MAT 275  Modern Differential Equations 
AML 799  Dissertation 
AML 792  Research 
MAT 499  Individualized Instruction 
APM 792  Research 
APM 799  Dissertation 
MAT 421  Applied Computational Methods 
MAT 493  Honors Thesis 
2020 Fall
Course Number  Course Title 

APM 792  Research 
MAT 499  Individualized Instruction 
MAT 499  Individualized Instruction 
MAT 452  Intro Chaos/Nonlinear Dynamics 
MAT 492  Honors Directed Study 
MAT 493  Honors Thesis 
2020 Summer
Course Number  Course Title 

APM 792  Research 
MAT 595  Continuing Registration 
2020 Spring
Course Number  Course Title 

MAT 599  Thesis 
AML 799  Dissertation 
AML 792  Research 
MAT 499  Individualized Instruction 
APM 792  Research 
APM 799  Dissertation 
MAT 421  Applied Computational Methods 
MAT 350  Tech/Apps of Applied Math 
2019 Fall
Course Number  Course Title 

APM 792  Research 
MAT 499  Individualized Instruction 
MAT 499  Individualized Instruction 
APM 799  Dissertation 
MAT 452  Intro Chaos/Nonlinear Dynamics 
MAT 492  Honors Directed Study 
LSC 562  Applied Math Tech in Biology 
MAT 493  Honors Thesis 
2019 Summer
Course Number  Course Title 

APM 792  Research 
2019 Spring
Course Number  Course Title 

AML 799  Dissertation 
AML 792  Research 
MAT 499  Individualized Instruction 
APM 792  Research 
APM 799  Dissertation 
MAT 371  Advanced Calculus I 
MAT 492  Honors Directed Study 
 Erika Camacho, Stephen Wirkus. A Model of Photoreceptor Degeneration in Zebrafish via a Cone Mutation. Mathematical Association of America MathFest (Aug 2014).
 Raegan Higgins, Susan Minkoff, Cristina Villalobos, Stephen Wirkus. MS32: Mathematical Modeling of Health Problems. Society for Industrial and Applied Mathematics Annual Conference (Jul 2014).
 Kimberly Kendricks, Susan Minkoff, Cristina Villalobos, Stephen Wirkus. MS48: Applications in Human Performance, Counterterrorism, and Risk Analysis. Society for Industrial and Applied Mathematics Annual Conference (Jul 2014).
 Stephen Wirkus. MS 63: Dynamical Models in Applied Mathematics. Society for Industrial and Applied Mathematics Annual Conference (Jul 2014).
 Susan Minkoff, Cristina Villalobos, Stephen Wirkus. MS79: Theoretical and Numerical Results in Dynamical Systems. Society for Industrial and Applied Mathematics Annual Conference (Jul 2014).
 Cristina Villalobos, Susan Minkoff, Stephen Wirkus. MS95: Analysis and Applications of Optimization. Society for Industrial and Applied Mathematics Annual Conference (Jul 2014).
 Susan Minkoff, Cristina Villalobos, Stephen Wirkus. MS109: Modeling and Algorithm Development for Mathematical Geosciences. Society for Industrial and Applied Mathematics Annual Conference (Jul 2014).
 Erika Camacho, Pamela Marshall, Stephen Wirkus. Qualitative Inverse Problems using Bifurcation Analysis in the Recurrent Neural Network Model. Society for Mathematical Biology Annual Conference (Jul 2014).
 Erika Camacho, Pamela Marshall, Stephen Wirkus. Qualitative Inverse Problems using Bifurcation Analysis in the Recurrent Neural Network Model. Society for Industrial and Applied Mathematics Annual Conference (Jul 2014).
 Erika Camacho, Pamela Marshall, Stephen Wirkus. Qualitative Inverse Problems using Bifurcation Analysis in the Recurrent Neural Network Model. MIT MLK Scholar Talks (Feb 2014).
 Erika Camacho, Stephen Wirkus. A Model of Photoreceptor Degeneration in Zebrafish via a Cone Mutation. Society for Industrial and Applied Math (SIAM) Annual Conference (Jul 2013).
 Josef Sifuentes, Cristina Villalobos, Illya Hicks, Stephen Wirkus. MS34: Computational Science. SIAM Annual Conference (AN14) (Jul 2013).
 Cristina Villalobos, Illya Hicks, Stephen Wirkus. MS47: Combinatorial Optimization. SIAM Annual Conference (AN14) (Jul 2013).
 Paul Hurtado, Cristina Villalobos, Illya Hicks, Stephen Wirkus. MS60: Mathematical and Theoretical Ecology. SIAM Annual Conference (AN14) (Jul 2013).
 Kamuela Yong, Anuj Mubayi, Cristina Villalobos, Illya Hicks, Stephen Wirkus. MS68: Mathematical Modeling of Public Health Problems. SIAM Annual Conference (AN14) (Jul 2013).
 Anael Verdugo, Cristina Villalobos, Illya Hicks, Stephen Wirkus. MS86: Computational Approaches to Mathematical Modeling and Analysis of Biological Systems. SIAM Annual Conference (AN14) (Jul 2013).
 Cristina Villalobos, Illya Hicks, Stephen Wirkus. MS102: Numerical Models in Applied Problems. SIAM Annual Conference (AN14) (Jul 2013).
 Erika Camacho, Stephen Wirkus. Tracing the Progression of Retinitis Pigmentosa via Photoreceptor Interactions. ARVO  The Association for Research in Vision and Ophthalmology, 2012 Annual Conference (May 2012).
 S. Wirkus. Numerical Solutions of Delay Differential Equations. MCMSC MiniWorkshop, ASU, Tempe, AZ (Jun 2011).
 Stephen Wirkus. Mathematical Modeling of Fungal Infection in Immune Compromised Individuals: Implications for Treatment with Fungicidal Drugs. Los Arizona Days, University of Arizona, Tucson, AZ (Apr 2011).
 Stephen Wirkus. Mathematical Modeling of Fungal Infection in Immune Compromised Individuals: Implications for Treatment with Fungicidal Drugs. Society for Mathematical Biology Annual Conference MS14 (Jul 2010).
 Stephen Wirkus. Dynamics of a bilocal (twopatch) population community. Summer Math Institute Colloquium at Cornell University (Jun 2009).
 Stephen Wirkus. Some Applications of Mathematics. MGE@MSA (Feb 2008).
 Wirkus, Stephen. A Continuous Model of Gene Expression. Faculty Research Poster Session (Oct 2007).
 Wirkus, Stephen. Community Resilience in Collaborative Learning. Loyola Marymount Mathematics Colloquium
 Wirkus, Stephen. Gene Regulatory Network: A Continuous Nonlinear Model. Department of Mathematics BioMath Seminar
 Wirkus, Stephen. Modeling Molecular Systems with Differential Equations. Natural Science Week
 Personnel Committee, Chair (2012  Present)
 Personnel Committee, Chair (2011  Present)
 Program Review Committee, Member (2009  Present)
 Program Review Committee, Member (2009  Present)
 Veteran's Committee, Member (2009  Present)
 Veteran's Committee, Member (2009  Present)
 SACNAS Math Task force, Member (2009  Present)
 SACNAS Math Task force, Member (2009  Present)
 SACNAS Math Task force, Member (2009  Present)
 SACNAS Math Task force, Member (2009  Present)
 SACNAS Math Task force, Member (2009  Present)
 SACNAS Math Task force, Member (2009  Present)
 Personnel Committee, Member (2009  Present)
 Personnel Committee, Member (2009  Present)
 Journal of Vibration and Control, Manuscript Referee (2008  Present)
 STEM Doctoral Enhancement (SDE) Program, Participant (2008  Present)
 Applied Computing Hiring Committee, Member (2007  Present)
 Chapman & Hall / CRC Press, Manuscript Reviewer (2007  Present)
 Applied Math Degree Program Committee, Chair (2007  Present)
 Workshop Celebrating Diversity, Member (2012  2015)
 Steering Committee, Society for Industrial and Applied Mathematics (SIAM) Annual Conference (AN14), Member (2013  2014)
 Workshop Celebrating Diversity, Chair (2012  2014)
 Personnel Committee, Chair (2012  2013)
 Society for Industrial and Applied Mathematics, Workshop Celebrating Diversity, Member (2012  2012)
 Lecturer review committee for evaluation of Lecturer Ken Sweat, Chair (2011  2012)
 Hispanic Research Center, MGE@MSA (More Graduate Education @ Mountain States Alliance, panelist at 2/14/2012 Conference in Tempe, AZ (2012  2012)
 Peer review committee for tenure and promotion file of Yuntao Zhu, Chair (2011  2011)
 Society for the Advancement of Chicanos and Native Americans in Science (SACNAS), Conference Professional Development Workshop. Critical Transitions in Graduate School: Advice for Current and Prospective Graduate Students (2011  2011)
 New College P & T Committee, Member (2008  2011)
 Promotion & Tenure Committee, Member (2008  2011)
 Promotion & Tenure Committee, Chair (2010  2011)
 Program Review Committee, Member (2009  2011)
 Peer review committee for 3 year pretenure review of Omayra Ortega, Chair (2010  2010)
 Teacher's College Academic Specialization Committee, Member (2010  2010)
 Teacher's College Liaison Committee, Member (2010  2010)
 Society for the Advancement of Chicanos and Native Americans in Science (SACNAS), Conference Session Organizer of Opportunities in Mathematics from a Funding Agency Perspective (2010  2010)
 Peer review committee for tenure consideration of Haiyan Wang, Member (2010  2010)
 Society for Mathematical Biology, Conference Session Organizer of Dynamic Mathematical Models in Biology (MS14) (2010  2010)
 Hispanic Research Center (HRC), Attendee of NSF Joint Annual Meetings (2010  2010)
 Nonlinear Dynamics, Manuscript Reviewer (2010  2010)
 Society for the Advancement of Chicanos and Native Americans in Science (SACNAS), Conference Session Organizer of An Abstract Look at Algebra (2009  2009)
 Society for the Advancement of Chicanos and Native Americans in Science (SACNAS), Conference Session Organizer of New Generation of Mathematics (2009  2009)
 Academic Advising Office, University College at the West Campus, Faculty Panelist for new University College Freshmen (2009  2009)
 Hispanic Research Center (HRC), Attendee of NSF Joint Annual Meetings (2009  2009)
 NSA Women in Mathematics Society, Invited Conference Participant (2009  2009)
 Richard Tapia Scholarship Review Committee, Member (2009  2009)
 Discrete and Continuous Dynamical SystemsSeries B, Manuscript Reviewer (2009  2009)
 Applied Mathematical Sciences Summer Institute (AMSSI), CoDirector (2008  2008)
 3 year pretenure review for Yuntao Zhu, Chair (2008  2008)
 MSAC Lecturer Hiring Committee, Chair (2007  2008)
 3 year pretenure review for Haiyan Wang, Chair (2007  2007)
 Society for the Advancement of Chicanos and Native Americans in Science, Conference Session Organizer of New Generation of Mathematicians (2007)