Wenjing Zhang, Ph.D.

Mathematics & Statistics
Texas Tech University


Office Hours:    Tuesdays and Thursdaysm 10:00--11:40 a.m. & by appointment
Room #:            MATH 214
Email:                wenjing.zhang@ttu.edu

Research Interest

  • Nonlinear Dynamical Systems
  • Bifurcation Theory
  • Mathematical Biology

Teaching

  1. Fall 2020, Theory of Ordinary Differential Equations I --MATH 5330

    Course Notes (in OneNote)

  2. Fall 2019, Control Theory I: Applied Bifurcation Theory --MATH 5312 (website)

    Course Notes (in OneNote)

  3. Spring 2019, Biomathematics II--MATH 5355

    Course Notes (in OneNote)

    Syllabus MATH 5355

  4. Fall 2018, Biomathematics I--MATH 5354

    Course Notes (in OneNote)

    Syllabus MATH 5354

  5. Fall 2018, Calculus I--MATH 1451

    Course Notes (in OneNote)

    Syllabus MATH 1451

Wenjing Zhang

Curriculum Vitae (updated on Sep 2021)

Publications

  1. Wenjing Zhang, “Disease clearance of tuberculosis infection: An in-host continuous-time Markov chain model”. (Applied Mathematics and Computation 413 (2022) 126614, 2021)

  2. Wenjing Zhang, Leif Ellingson, Federico Frascoli, Jane Heffernan, “An Investigation of Tuberculosis Progression Revealing the Role of Macrophages Apoptosis via Sensitivity and Bifurcation Analyse”. (Journal of Mathematical Biology, 2021)

  3. Wenjing Zhang, Federico Frascoli, Jane Heffernan, “ Analysis of solutions and disease progressions for a within-host Tuberculosis model”. (Mathematics in Applied Sciences and Engineering, 2020)

  4. Wenjing Zhang, “Analysis of an In-host Tuberculosis Model for Disease Control”. (Applied Mathematics Letters 2019)

  5. Wenjing Zhang, “Modeling and Analysis of the Multi-annual Cholera Outbreaks With Host- pathogen Encounters”. (International Journal of Bifurcation and Chaos 30, no. 08 (2020):2050120)

  6. Jiao Jiang, Wenjing Zhang, Pei Yu, “Tristable phenomenon in a predator-prey system arsing from multiple limit cycles bifurcation”. (International Journal of Bifurcation and Chaos 30, no. 09 (2020): 2050129.)

  7. Wenjing Zhang, Ramnath Bhagavath, Neal Madras, and Jane Heffernan, Examining HIV Progression Mechanisms via Mathematical Approaches, (Mathematics in Applied Sciences and Engineering 99, no. 99 (2020): 1-24.)

  8. Pei Yu and Wenjing Zhang,Complex dynamics in a unified SIR and HIV disease model: A bifurcation theory approach, (Journal of Nonlinear Science (2019): 1-54.)

  9. Pei Yu, Maoan Han, and Wenjing Zhang Multiple recurrent outbreak cycles in an autonomous epidemiological model due to multiple limit cycle bifurcation, (Journal of Applied Analysis and Computation 10, no. 5 (2020): 2278-2298.)

  10. Wenjing Zhang and Pei Yu, Revealing the Role of the Effector-regulatory T Cell Loop on Autoimmune Disease Symptoms via Nonlinear Analysis (Communications in Nonlinear Science and Numerical Simulation, No. 93 (2021): 105529.)

  11. SRJ Jang, Wenjing Zhang, and Victoria Larriva, Cooperative hunting in a predator-prey system with Allee effects in the prey''. (Natural Resource Modeling 2018)

  12. Wenjing Zhang, Sophia Jang, Colleen Jonsson, and Linda Allen, Models of Cytokine Dynamics in the Inflammatory Response of Viral Zoonotic Infectious Diseases, Mathematical Medicine and Biology (2018)

  13. Modeling the argasid tick (Ornithodoros moubata) life cycle, (book Chapter: Understanding Complex Biological Systems with Mathematics)

  14. Pei Yu, Wenjing Zhang, and Lindi Wahl Dynamical analysis and simulation of a 2-dimensional disease model with convex incidence, Commun Nonlinear Sci Numer Simulat (2016)

  15. Wenjing Zhang and Pei Yu, Hopf and Generalized Hopf bifurcations in a Recurrent Autoimmune Disease Model, International Journal of Bifurcation and Chaos (2016)

  16. Wenjing Zhang, Lindi Wahl, and Pei Yu, Backward bifurcations, turning points and rich dynamics in simple disease models, Journal of Mathematical Biology (2016)

  17. Wenjing Zhang, Lindi Wahl, and Pei Yu, MODELING AND ANALYSIS OF RECURRENT AUTOIMMUNE DISEASE, SIAM J. APPL. MATH. (2014)

  18. Wenjing Zhang, Lindi Wahl, and Pei Yu, Viral Blips May Not Need a Trigger: How Transient Viremia Can Arise in Deterministic In-Host Models, SIAM Review (2014)

  19. Wenjing Zhang, Lindi Wahl, and Pei Yu, Conditions for Transient Viremia in Deterministic In-Host Models: Viral Blips Need No Exogenous Trigger, SIAM J. APPL. MATH. (2013)