Stephen Wirkus

Interim Director & Professor, Interim Director & Professor

  • 228 Citations
  • 7 h-Index
20022019
If you made any changes in Pure, your changes will be visible here soon.

Research Output 2002 2019

  • 228 Citations
  • 7 h-Index
  • 21 Article
  • 1 Book
Article
13 Citations (Scopus)

A mathematical model for photoreceptor interactions

Camacho, E., Colón Vélez Miguel A., M. A., Hernández, D. J., Rodríguez Bernier, U., Van Laarhoven, J. & Wirkus, S., Dec 21 2010, In : Journal of Theoretical Biology. 267, 4, p. 638-646 9 p.

Research output: Contribution to journalArticle

Rod-Cone Interaction
cones (retina)
photoreceptors
Retinal Cone Photoreceptor Cells
rods (retina)
Genetic Network
Bistability
Saccharomyces Cerevisiae
Qualitative Analysis
Yeast
2 Citations (Scopus)

Bifurcation analysis of a photoreceptor interaction model for Retinitis Pigmentosa

Camacho, E., Radulescu, A. & Wirkus, S., Sep 1 2016, In : Communications in Nonlinear Science and Numerical Simulation. 38, p. 267-276 10 p.

Research output: Contribution to journalArticle

Bifurcation Analysis
Cones
Cone
Interaction
Retina
1 Citation (Scopus)

Comment on "Bifurcation analysis of parametrically excited bipolar disorder model"

Wirkus, S. & Porter, M. A., Jun 2009, In : Communications in Nonlinear Science and Numerical Simulation. 14, 6, p. 2844 1 p.

Research output: Contribution to journalArticle

Bifurcation Analysis
Disorder
Model
9 Citations (Scopus)

Community resilience in collaborative learning

Crisosto, N. M., Kribs-Zaleta, C. M., Castillo-Chavez, C. & Wirkus, S., Jul 2010, In : Discrete and Continuous Dynamical Systems - Series B. 14, 1, p. 17-40 24 p.

Research output: Contribution to journalArticle

Collaborative Learning
Resilience
Epidemiology
Bifurcation (mathematics)
Fitness

Connecting immunology and epidemiology

Soho, E. & Wirkus, S., Dec 1 2018, In : Mathematical Scientist. 43, 2, p. 63-70 8 p.

Research output: Contribution to journalArticle

Immunology
Epidemiology
Immune system
Pathogens
Viruses
8 Citations (Scopus)

Dynamics of population communities with prey migrations and Allee effects: A bifurcation approach

Berezovskaya, F., Wirkus, S., Song, B. & Castillo-Chavez, C., 2011, In : Mathematical Medicine and Biology. 28, 2, p. 129-152 24 p.

Research output: Contribution to journalArticle

Allee Effect
Allee effect
Population Dynamics
Prey
bifurcation

Kolmogorov equations applied to an SIS-coupled epidemiological model

Cruz-Aponte, M. & Wirkus, S., Dec 1 2016, In : Mathematical Scientist. 41, 2, p. 108-118 11 p.

Research output: Contribution to journalArticle

Public health
Stochastic models
Markov processes
3 Citations (Scopus)
Drug therapy
Mycoses
Mathematical Modeling
drug therapy
Infection
1 Citation (Scopus)
Drug therapy
Mycoses
Mathematical Modeling
drug therapy
Infection
5 Citations (Scopus)

Mathematical Model of the Role of RdCVF in the Coexistence of Rods and Cones in a Healthy Eye

Camacho, E., Léveillard, T., Sahel, J. A. & Wirkus, S., Jul 21 2016, (Accepted/In press) In : Bulletin of Mathematical Biology. p. 1-16 16 p.

Research output: Contribution to journalArticle

rods (retina)
Vertebrate Photoreceptor Cells
cones (retina)
Coexistence
coexistence
22 Citations (Scopus)

Mathematical models of bipolar disorder

Daugherty, D., Roque-Urrea, T., Urrea-Roque, J., Troyer, J., Wirkus, S. & Porter, M. A., Jul 2009, In : Communications in Nonlinear Science and Numerical Simulation. 14, 7, p. 2897-2908 12 p.

Research output: Contribution to journalArticle

Disorder
Mathematical Model
Mathematical models
Model
Nonlinear Oscillator

Metering effects in population systems

Camacho, E., Kribs-Zaleta, C. & Wirkus, S., Oct 2013, In : Mathematical Biosciences and Engineering. 10, 5-6, p. 1365-1379 15 p.

Research output: Contribution to journalArticle

Health Services Needs and Demand
Drug Therapy
Chemotherapy
eating disorders
Population
7 Citations (Scopus)

Optimal Control in the Treatment of Retinitis Pigmentosa

Camacho, E., Melara, L. A., Villalobos, M. C. & Wirkus, S., Feb 2014, In : Bulletin of Mathematical Biology. 76, 2, p. 292-313 22 p.

Research output: Contribution to journalArticle

Retinitis Pigmentosa
cones (retina)
photoreceptors
Therapy
Cones
7 Citations (Scopus)
Retinitis Pigmentosa
cones (retina)
photoreceptors
Cones
Cone
125 Citations (Scopus)

The dynamics of two coupled van der Pol oscillators with delay coupling

Wirkus, S. & Rand, R., Nov 2002, In : Nonlinear Dynamics. 30, 3, p. 205-221 17 p.

Research output: Contribution to journalArticle

Van Der Pol Oscillator
Coupled Oscillators
Steady-state Solution
Numerical integration
Averaging
3 Citations (Scopus)

The mathematical and theoretical biology institute - A model of mentorship through research

Camacho, E., Kribs-Zaleta, C. & Wirkus, S., Oct 2013, In : Mathematical Biosciences and Engineering. 10, 5-6, p. 1351-1363 13 p.

Research output: Contribution to journalArticle

Mentors
Biology
researchers
mentoring
Biological Sciences

The Vicodin abuse problem: A mathematical approach

Caldwell, W. K., Freedman, B., Settles, L., Thomas, M. M., Camacho, E. T. & Wirkus, S., Dec 21 2019, In : Journal of Theoretical Biology. 483, 110003.

Research output: Contribution to journalArticle

Patient rehabilitation
Sensitivity analysis
Drugs
Prescription Drugs
Mathematical models
13 Citations (Scopus)

Tracing the progression of retinitis pigmentosa via photoreceptor interactions

Camacho, E. & Wirkus, S., Jan 1 2013, In : Journal of Theoretical Biology. 317, p. 105-118 14 p.

Research output: Contribution to journalArticle

rods (retina)
Retinitis Pigmentosa
Tracing
photoreceptors
Progression
7 Citations (Scopus)

"Traveling wave" solutions of Fitzhugh model with cross-diffusion

Berezovskaya, F., Camacho, E., Wirkus, S. & Karev, G., Apr 2008, In : Mathematical Biosciences and Engineering. 5, 2, p. 239-260 22 p.

Research output: Contribution to journalArticle

Cross-diffusion
Traveling Wave Solutions
Propagation
FitzHugh-Nagumo Equations
Neurons
1 Citation (Scopus)

Verification and validation of the flag hydrocode for impact cratering simulations

Caldwell, W. K., Hunter, A., Plesko, C. S. & Wirkus, S., Sep 1 2018, In : Journal of Verification, Validation and Uncertainty Quantification. 3, 3, 031004.

Research output: Contribution to journalArticle

Verification and Validation
Lagrange
Aluminum
Simulation
Relative Error
Book
1 Citation (Scopus)

A course in differential equations with boundary value problems, second edition

Wirkus, S., Swift, R. J. & Szypowski, R. S., Jan 1 2017, CRC Press. 767 p.

Research output: Book/ReportBook

Boundary Value Problem
Differential equation
Maple
Mathematica
Linear algebra