妻友社区

Research Areas

Stochastic and Statistical Modeling of Infectious Diseases

Education

Ph.D. Mathematics (Statistics Concentration) 鈥� University of South Florida
M.A. Statistics 鈥� University of South Florida
M.Sc. Mathematics 鈥� University of Buea, Cameroon
B.Sc. Mathematics (major) & Chemical Process Technology (minor) 鈥� University of Buea, Cameroon

Publications

1. Wanduku, D. & Hasan, M. M. (2025). Compartmental models driven by renewal processes: Survival analysis and applications to SVIS epidemic models. Scientific Reports (Q1, IF 鈮� 4.6).
   
2. Alsharman, M., Samawi, H., Kersey, J., & Wanduku, D. (2025). On F 尾-score for medical diagnostic tests of binary diseases: Proposing new measures of accuracy. Journal of Biopharmaceutical Statistics (Q2, IF 鈮� 2.2).
   
3. Wanduku, D. T. F., Ladde, G. S., & Ladde, J. G. (2025). Epidemiological Processes in the Biological and Social Sciences: Stochastic Hierarchical Complex Dynamic Network-centric Models. De Gruyter.
   
4. Wanduku, D. (2022). Finite- and multi-dimensional state representations for HIV/AIDS models with ART treatment and distributed delays. Discrete and Continuous Dynamical Systems 鈥� S (Q1).
   
5. Wanduku, D. (2020). A nonlinear multi-population behavioral model to assess education campaigns, random aid supply, and delayed ART treatment in HIV/AIDS epidemics. Mathematical Biosciences and Engineering (Q1).

Funding

Current Grants

1. NSF RaMP Award 鈥� 鈥淢entoring and Research Opportunities for Careers in Coastal Science (MROC虏S)鈥� (Coastal Science mentor & research advisor). Period: 1鈥疭ep鈥�2023鈥�31鈥疉ug鈥�2027; award 鈮堚�疷SD鈥�3鈥疢
   
2. Statistical Survey and Design with Elite Systems (Institutional proposal no.鈥�00030734). Role: PI. Period: 15鈥疉耻驳鈥�2025鈥�14鈥疉耻驳鈥�2026.
   
3. COSM HHMI IE3 Grant 鈥� 鈥淢odeling, Analysis and Forecast of COSM Faculty and Student Inclusive Trends鈥� (肠辞鈥慞滨). Period: 19鈥疛ul鈥�2024鈥�2025; award 鈮堚�疷SD鈥�10鈥痥
   
4. U.S. Census Bureau Collaborative Agreement (CBHEC鈥慡OUTH) (Data Science partnership). Status: In progress (FY鈥�2025 onward)

Previous Grants

1. COSM & JPHCOPH Collaborative Grant 鈥� 鈥淥n F鈥�尾鈥慡core for Medical Diagnostics Tests of Binary and Multi鈥慍lass Diseases鈥� (肠辞鈥慞滨). Period: 1鈥疐eb鈥�2024鈥揗ay鈥�2024; award USD鈥�5鈥痥
   
2. NSF & other travel grants (2017鈥�2020) 鈥� multiple small awards for conference travel.
   
3. U.S. Army Research Office Grants 鈥� Mathematical Sciences Division Grants in 2010 (Grant鈥�#W911NF鈥�07鈥�1鈥�0283) and 2011鈥�2012 (Grant鈥�#W911NF鈥�12鈥�1鈥�0090)

Research Projects

Stochastic Renewal Process Models for Epidemic Survival Analysis

This project applies renewal and Markov process theory to construct epidemic models with non-exponential stage durations, capturing realistic biological processes such as variable incubation, recovery, and death rates. The framework bridges survival analysis and biomedical modeling to derive disease persistence criteria and long-term outbreak probabilities.

Statistical Inference and Diagnostic Accuracy for Medical Testing

This project introduces a new family of F 尾-score measures for binary and multi-class disease tests, addressing imbalanced datasets and clinical decision thresholds. The framework generalizes ROC curve analysis and enhances optimal cut-off selection for disease screening.

Modeling and Statistical Inference for HIV/AIDS and Vector-Borne Diseases

This research develops stochastic models for HIV/AIDS and vector-borne diseases that capture treatment delays and environmental noise, using stochastic differential equations and Lyapunov methods to study disease extinction and persistence.

Research Group

Graduate Students

• Daniel Olofin 鈥� M.S. Statistics, Thesis in progress (2026): Stochastic epidemic modeling and data-driven inference.
  
• Josphat Wambua 鈥� M.S. Statistics, Thesis in progress (2026): Nonlinear time-series modeling for infectious-disease data.
  
• Toma Debnath (Chair, 2024) 鈥� Ph.D. student, Computational Mathematics, Florida State University; supervised M.S. thesis on statistical learning and diagnostics.
  
• Ivy Collins (Chair, 2023) 鈥� Ph.D. student, Statistics, University of Georgia; former thesis on COVID-19 stochastic modeling and inference.
  
• Md Mahmud Hasan (Chair, 2022) 鈥� Ph.D. student, Biostatistics, Medical College of Georgia; developed survival lifetime models for vaccination and disease dynamics.

Collaborators

• Jiann-Ping Hsu College of Public Health (妻友社区)
• BIUST (Botswana)
• University of South Florida

Affiliation

• Affiliate Faculty, James H. Oliver Jr. Institute for Coastal Plain Science (2022鈥損resent)