Courses (Fall 2022)

• MATH 31 (Sections 04 and 14)

Research Projects/Interests

• Modeling of tick population and tick-borne diseases
• Honeybee disease modeling
• Modeling of Anopheles gambiae and its treatment in western Kenya highlands
• Mathematical modeling of treatment of HIV with gene edited hematopoietic progenitor cells

Publications (undergraduate co-authors are in bold)

• Alvarez-Hernandez, G., Trejo, A. V., Ratti, V., Teglas, M., & Wallace, D. I. (2022). Modeling of Control Efforts against Rhipicephalus sanguineus, the Vector of Rocky Mountain Spotted Fever in Sonora Mexico. Insects, 13(3), 263.
• Ratti, V.; Chipman, J.W.; Wallace, D. I. (2022). Larval Flushing Alters Malaria Endemicity Patterns in Regions with Similar Habitat Abundance. Current Research in Parasitology & Vector-Borne Diseases, 2022
• Sreekanth, O.G., Ratti, V., Wallace, D. I. (2022). A New Approach to Detecting Patterns of ENSO Teleconnections with Temperature and Rainfall Patterns in the Western Kenya Highlands Sep- arates Seasonal, Auto-correlated, and Random Effects. Theoretical and Applied Climatology, 1-12.
• Chen, J.; DeGrandi-Hoffman, G.; Ratti, V.; Kang, Y. (2021). Review on Mathematical Modeling of Honeybee Population Dynamics. Mathematical Biosciences and Engineering, 18(6): 9606–9650.
• Ratti, V.; Winter, J. M.,; Wallace, D. I. (2021) Dilution and amplification effects in Lyme disease: Modeling the effects of reservoir-incompetent hosts on Borrelia burgdorferi sensu stricto transmission. Ticks and tick-borne diseases. 12(4): 101724.
• Ratti, V.; Wallace, D. I. (2020) A malaria transmission model predicts holoendemic, hyperendemic, and hypoendemic transmission patterns under varied seasonal vector dynamics. Journal of Medical Entomology. 2020(00): 1-17.
• Wallace, D. I.; Ratti, V., Kodali, A., Winter, J. M., Ayres, M. P., Chipman, J. W., ... & Webb, M. J. (2019) Effect of Rising Temperature on Lyme Disease: Ixodes scapularis Population Dynamics and Borrelia burgdorferi Transmission and Prevalence. Canadian Journal of Infectious Diseases and Medical Microbiology. 2019(00): 1-15.
• Ratti, V.; Nanda, S.; Eszterhas, S. K.; Howell, A.; Wallace, D.I.(2019) A Mathematical Model of HIV dynamics Treated with a Population of Gene Edited Hematopoietic Progenitor Cells Exhibiting Threshold Phenomenon. Mathematical medicine and biology: a journal of the IMA, 2019 (00): 1-31.
• Ratti, V.; Rheingold, E.; Wallace, D.I. (2018) Reduction of Mosquito Abundance Via Indoor Wall Treatments: A Mathematical Model. Journal of Medical Entomology. 55(4): 833-845.
• Ratti, V.; Kevan, P.G.; Eberl, H.J. (2017) A Mathematical Model of Forager Loss in Honeybee Colonies Infested with Varroa destructor and the Acute Bee Paralysis Virus. Bulletin of Mathematical Biology. 79(6): 1218-1253.
• Ratti, V.; Kevan, P.G.; Eberl, H.J. (2016) A discrete-continuous modeling framework to study the role of swarming in a honeybee colony infested with Varroa destructor and Acute Bee Paralysis Virus. The 2015 AMMCS-CAIMS Congress. DOI: 10.1007/978-3-319-30379-6_28. In book: Mathematical and Computational Approaches in Advancing Modern Science and Engineering, pp.299-308.
• Ratti, V.; Kevan, P.G.; Eberl, H.J.(2015) A mathematical model of the honeybee-varroa destructor-acute bee paralysis virus complex with seasonal effects. Bulletin of Mathematical Biology. 77(8):1493-1520.
• Eberl, H.J.; Kevan, P.G.; Ratti, V.(2014) Infectious disease modeling for honeybee colonies in J. Dellivers(ed). “In Silico Bees”, p.87-134, CRC, Press Boca Raton.
• Ratti, V.; Kevan, P.G.; Eberl, H.J. (2013) A mathematical model of the honeybee-varroa destructor-acute bee paralysis virus complex. Canadian Applied Math Quarterly, 21(1):63-93.