Biography
I am a highly motivated academic and administrator with extensive experience in teaching, research, and university leadership. I have served in various academic roles within higher education institutions, contributing to teaching, research development, and academic governance. My research interests lie in applied mathematics, with a strong focus on mathematical modeling, differential equations, and systems biology. I have developed and executed several research projects addressing real-world challenges, particularly in epidemiology, biomedical systems, and environmental modeling. I have supervised numerous postgraduate students at both Master’s and PhD levels, guiding them through successful completion of their research work. In addition, I have actively participated in academic leadership and institutional development, including curriculum development, program accreditation, and quality assurance processes, as well as serving in departmental and faculty committees. I am committed to promoting academic excellence, innovation, and collaborative research that contributes to both scientific advancement and societal development.
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Professional Training and Development
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Publications
Chacha, M. H., Ouno, J., Kwach B., & Nyakundi, C. (2025). A Hybrid GPR-GAM Model for Enhanced Spatio-Temporal Climate Prediction in Kenya. Asian Journal of Probability and Statistics, 27(7), 225–234. Article no. AJPAS.140749. ISSN: 2582-0230.
Chacha, M. H., Ouno, J., Kwach B., & Nyakundi, C. (2025). Modelling Spatial and Non-Linear Trends in Climate Data Using Gaussian Process Regression and Generalized Additive Model. Asian Journal of Probability and Statistics, 27(8), 1–16. Article no. AJPAS.140747. ISSN: 2582-0230.
Kwach B. O. (2025). Analysis of Glucose-Insulin-Epinephrine Dynamics Using Multidimensional Ostrowski-Type Inequality. IRE Journals, 8(12). ISSN: 2456-8880.
Kwach B. O. (2025). Impact of Physical Exercises and Nutrition in Patients with Diabetes Mellitus: A Boolean Algebra and Stability Analysis Approach. IRE Journals, 8(12). ISSN: 2456-8880.
Wakwabubi, N. C., Apima, S. B., & Kwach B. (2024). A Mathematical Model for Rotavirus Infection Incorporating Time Delay on the Effectiveness of Vaccination with Treatment. Asian Research Journal of Mathematics, 20(8), 76–89. Article no. ARJOM.120065. ISSN: 2456-477X.
Masibayi, A., Kwach B., & David, A. (2024). Estimating Minimum Safe Distance Between Rai Paper Mills and Residential Houses. IRE Journals, 8(2).
Masibayi, A., Kwach B., & David, A. (2024). Numerical Solution of Transient Three-Dimensional Advection Diffusion Equations with Randomness. IRE Journals, 8(2).
Thuo, L. K., Omondi, J. O., & Kwach B. (2022). Derivation of Integrated Heckman-Conway-Maxwell-Poisson Model. IRE Journals, 6(2). ISSN: 2456-8880.
Thuo, L. K., Omondi, J. O., & Kwach B. (2022). Application of Heckman-Conway-Maxwell-Poisson Model for Analysing Corruption. IRE Journals, 6(2). ISSN: 2456-8880.
Mutwiwa, J. M., Nthiiri, J. K., Kwach B. O., & Abonyo, B. O. (2022). Within Host Model for Cervical Cancer Incorporating Diffusion. IOSR Journal of Mathematics (IOSR-JM), 18(4), 46–55. ISSN: 2278-5728.
Mutwiwa, J. M., Nthiiri, J. K., Kwach B. O., & Abonyo, B. O. (2022). A Coupled Mathematical Model for Cervical Cancer Incorporating Diffusion and Diagnosis. IOSR Journal of Mathematics (IOSR-JM), 18(4), 1–9. ISSN: 2278-5728.
Otieno, O. L., Kwach B. O., Tireito, F., & Ouma, L. (2022). Consistency and Stability Analysis of a Mathematical Model of Chlorine Concentration in Contact Tanks Using Numerical Solution of a One-Dimensional Convection-Diffusion Equation. IRE Journals, 5(7). ISSN: 2456-8880.
Nyongesa, F. N., Kwach B. O., & Okoya, M. O. (2022). Analysis of an Arterial Pulse Using 1D KdV Model. IRE Journals, 5(7). ISSN: 2456-8880.
Purity, S. C., Kwach B. O., Tireito, F., & Kabo, J. (2022). Modeling Gases, Nutrients and Wastes in the Fetoplacental Circulation. IRE Journals.
Kwach B. O. (2021). Designs of Length 2024 from Mathieu Group M24. IRE Journals, 4(9).
Kwach B. O. (2021). Modeling Gases Transfer Between Placenta and Fetus Across the Umbilical Cord. IRE Journals, 4(9).
Wafula, N. K., Kwach B. O., & Marani, V. N. (2021). Mathematical Modelling and Optimal Control for Controlling Pneumonia-HIV Co-Infection. International Journal of Innovative Research & Development (IJIRD), 10(1). ISSN: 2278-0211.
Amoche, B. O., Ouno, J. O., Abonyo, B. O., & Kwach B. O. (2021). Bayesian Hierarchical Approach to Modelling Risk of Miscarriage During First Trimester of Subsequent Intrauterine Pregnancy in Women. International Journal of Innovative Research & Development (IJIRD), 10(1). ISSN: 2278-0211.
Mulambula, A., Oduor, D. B., & Kwach B. O. (2020). Volatility Estimation Using European-Logistic Brownian Motion with Jump Diffusion Process. International Journal of Mathematics and Applications (IJMAA), 8(2), 155–163. ISSN: 2347-1557.
Mulambula, A., Oduor, D. B., & Kwach B. O. (2019). Derivation of Black-Scholes-Merton Logistic Brownian Motion Differential Equation with Jump Diffusion Process. International Journal of Mathematics and Applications (IJMAA), 7(3), 85–93. ISSN: 2347-1557.
Kayiita, Z., Kwach B., Aywa, S., & Francis, P. (2018). On Vector Sequence Spaces and Representation of Compact Operators on BK Spaces. International Journal of Mathematics Trends and Technology (IJMTT), 61(3).
Mutwiwa, J. M., Nthiiri, J. K., & Kwach B. O. (2018). Mathematical Modelling of the Role of Interference on the Transmission Dynamics and Management of HIV and AIDS. Journal of Advances in Mathematics and Computer Science, 28(6), 1–11. Article no. JAMCS.42819. ISSN: 2456-9968.
Okoth, A. W., Nyongesa, K. L., & Kwach B. O. (2017). A Comparative Study Between a Multi-Stage Adaptive Pool Testing Model Without Test Errors and the Non-Adaptive Model. International Journal of Applied Mathematical Research, 6(3), 93–97.
Okoth, A. W., Nyongesa, K. L., & Kwach B. O. (2017). Multi-Stage Adaptive Pool Testing Model with Test Errors: Improved Efficiency. IOSR Journal of Mathematics (IOSR-JM), 13(1), 43–55. ISSN: 2278-5728.
Achieng’a, J. O., Ongati, O., & Kwach B. O. (2016). Mathematical Model for Drug Therapy in Asthmatics. International Journal of Engineering & Mathematical Sciences (IJEMS), 8(1), 17–27. ISSN: 2319-4537.
Odongo, J. O., Ongati, O., & Kwach B. O. (2016). Mathematical Model for Nutrient Exchange Across the Placenta. International Journal of Engineering & Mathematical Sciences (IJEMS), 8(1), 28–35. ISSN: 2319-4537.
Kwach B. O., Ongati, O., Okoya, M. O., & Otedo, A. E. O. (2015). Mathematical Modeling of Insulin Therapy in Patients with Diabetes Mellitus. International Journal of Engineering, Science and Mathematics (IJESM), 6(6). ISSN: 2045-7057.
Kwach B. O., Manyonge, A. W., Alambo, D. O., & Aminer, T. J. O. (2013). Solutions of Second-Order Partial Differential Equations in Two Independent Variables Using Method of Characteristics. International Journal of Multidisciplinary Sciences and Engineering, 4(5).
Kwach B. O., Ongati, O., Nyakinda, J. O., & Nyang’inja, R. (2013). Forensic Estimation of Time of Death: A Mathematical Model. International Journal of Management, IT and Engineering (IJMIE), 3(7). ISSN: 2249-0558.
Kwach B. O., Alambo, D. O., & Okaka, C. A. (2013). Derivation and Solution of the Heat Equation in 1-D. International Journal of Engineering, Science and Mathematics (IJESM), 2(2). ISSN: 2320-0294.
Kwach B. O., Ongati, O., & Simwa, R. (2011). Mathematical Model for Detecting Diabetes in the Blood. Applied Mathematical Sciences, 5(6), 279–286. Available at: https://www.m-hikari.com/ams/ams-2011/ams-5-8-2011/kwachAMS5-8-2011.pdf
Numerical Computation for Differential Equations: Comprehensive Lecture Notes with Worked Examples — Kwach, B. O. (2025). Kindle Direct Publishing (Amazon). ISBN: 9798252219714.
Partial Differential Equations: A Comprehensive Student’s Guide — Kwach, B. O. (2025). Kindle Direct Publishing (Amazon). ISBN: 9798275209631.
Numerical Analysis II: Theory and Applications of Spectral Techniques in Numerical Analysis — Kwach, B. O. (2025). Kindle Direct Publishing (Amazon). ISBN: 9798267714426.
Drug Therapy in Patients with Diabetes Mellitus: A Differential Equation-Based Approach to Insulin Dynamics and Treatment Modeling — Kwach, B. O. (2025). Kindle Direct Publishing (Amazon). ISBN: 9798271195709.
Numerical Analysis I: An Elementary Approach — Kwach, B. O. (2025). Kindle Direct Publishing (Amazon). ISBN: 979-8-2896-6278-1.
The Role of Teachers in Implementing Effective Play in Early Childhood and Educational Centers — Kwach, A. O., Kwach, B. O., & Ogwan’g, I. A. (2013). LAP Lambert Academic Publishing. ISBN: 978-3-659-47116-2.
Elementary Partial Differential Equations — Iyaya, C. C., Manyonge, A. W., & Kwach, B. O. (2013). LAP Lambert Academic Publishing. ISBN: 978-3-659-38790-6.
Mathematical Model for Detecting Diabetes in the Blood — Kwach, B. O. (2012). LAP Lambert Academic Publishing. ISBN: 978-3-8443-0460-2.
Olielo, J. O., Ongati, O. N., & Kwach, B. O. (2019). Mathematical Model for Nutrient Exchange Across the Placenta (Abstract No. 1145-VF-1555). Paper presented at the Joint Mathematics Meetings (JMM), held from 16th–19th January 2019 in Baltimore, USA.
Kwach, B. O. (2016). Mathematical Modeling of Insulin Therapy in Patients with Diabetes Mellitus (Abstract No. 1116-VM-352). Presented at the Joint Mathematics Meetings (JMM) during the MAA General Contributed Paper Session on Modeling and Applications, held from 6th–9th January 2016 in Seattle, USA.
Kwach, B. O. (2016). Lifestyle Diseases and Management: Mathematical Models. Paper presented at the Kibabii International Conference on Transformative Leadership for Social Empowerment in the 21st Century, Kibabii University, under the Cross-Cutting Issues thematic area. The presentation focused on the application of mathematical models in understanding and managing lifestyle diseases.
Kwach, B. O. (2015). Mathematical Modeling of Insulin Therapy in Patients with Diabetes Mellitus (Abstract No. 1106-VG-1543). Invited talk presented at the Joint Mathematics Meetings (JMM), held in San Antonio, USA, from 10th–13th January 2015. The presentation focused on mathematical approaches for modeling insulin therapy and optimizing diabetes treatment strategies.
Kwach, B. O. (2014). Mathematical Model for Drug Therapy in Patients with Diabetes Mellitus. Paper presented at the Joint Mathematics Meetings (JMM), Baltimore Convention Center, USA. The presentation focused on mathematical approaches for optimizing drug therapy management in diabetic patients through simulation of treatment regimens and dosage schedules for effective glucose regulation.
Kwach, B. O. (2014). Mathematical Model for Drug Therapy in Patients with Diabetes Mellitus. Seminar paper presented at the First Seminar Series of the Jaramogi Oginga Odinga University of Science and Technology (JOOUST), held from 6th–7th May 2014. The presentation applied qualitative theory of differential equations to simulate insulin–glucose dynamics and predict optimal drug administration schedules for diabetes management.
Kwach, B. O. (2014). Forensic Estimation of Time of Death: A Mathematical Model. Invited talk presented at the International Congress of Mathematicians, held at COEX Convention and Exhibition Center from 13th–21st August 2014, Seoul, South Korea. The presentation focused on the application of mathematical modeling in forensic investigations to improve the accuracy of estimating time of death in criminal cases.
Kwach, B. O. (2014). Mathematical Models for Non-Communicable Diseases. Paper presented at the Conference on Mathematical Modelling in Biology and Medicine organized by the Centre for Applied Research in Mathematical Sciences (CARMS), Strathmore University. The presentation focused on mathematical modeling of non-communicable diseases, including diabetes, hypertension, and cancer, and their application in informing public health interventions and healthcare strategies.
Kwach, B. O. (2013). Mathematical Model for Detecting Diabetes in the Blood. Paper presented at the Workshop on Mathematical Modeling, Kenyatta University, Kenya. The presentation focused on the analysis of blood glucose levels to improve early diagnosis and prevention strategies for diabetes mellitus.
Kwach, B. O. (2013). Mathematical Modelling of Non-Infectious Diseases with Special Consideration on Diabetes Mellitus. Paper presented at the International Mathematics Conference (SIMC) on Mathematical Modelling, Strathmore University. The presentation focused on the application of mathematical techniques in simulating disease progression and intervention strategies for chronic diseases, particularly diabetes mellitus.
Learning Modules
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