Dr. Agusto's research work is focused on the use of mathematical and statistical modeling approaches to gain insight into the ecology and epidemiology of some emerging and re-emerging human and zoonotic disease of public health importance.
Ph.D., Mathematics, University of Ilorin
West Africa Training School, University of Gaston Berger
M.S., Mathematics, University of Ilorin
B.Tech. , Mathematics, Ladoke Akintola University of Technology
- Ordinary differential and partial equations
- Mathematical biology
- Mathematical modeling
- And optimal control with applications to populations, diseases and natural resources
Wagner, R. & Agusto, F. (2018). Transmission dynamics for Methicilin-resistant Staphalococous areus with injection drug user . BMC Infectious Diseases.
Manore, C. Ostfeld, R. Agusto, F. Gaff, H. & LaDeau, S. (2017). Defining the risk of Zika and chikungunya virus transmission in human population centers of the eastern United States. PLOS Neglected Tropical Diseases.
Agusto, F. Bewick, S. & Fagan, W. (2017). Mathematical model for Zika virus dynamics with sexual transmission route. Ecological Complexity, 29, 61–81.
Agusto, F. (2017). Mathematical model of Ebola transmission dynamics with relapse and reinfection. Mathematical Biosciences, 283, 48–59.
Agusto, F. B., Bewick, S. & Fagan, W. F. (2017). Mathematical model of Zika virus with vertical transmission. Journal of Infectious Disease Modelling.
Leite, M. A., Chen-Charpentier, B. & Agusto, F. B. (2017). Maximizing harvesting profit from forests with insect outbreak disturbances. Journal of Theoretical Ecology.
Agusto, F. (2017). Optimal Control and Cost Effective Analysis for a Three Age-Structured Transmission Dynamics of Chikungunya Virus. Discrete and Continuous Dynamical Systems - Series B.
Agusto, F. B., & ELmojtaba, I. M. (2017). Optimal Control and Cost-Effective Analysis of Malaria/Visceral Leishmaniasis Co-Infection. PLOS One .
Bewick, S. Agusto, F. Calabrese, J. M., Muturi, E. J., & Fagan, W. F. (2016). Epidemiology of La Crosse Virus Emergence, Appalachia Region, United States. Emerging Infectious Diseases, 22(11), 1921.
Agusto, F. B., Easley, S. Freeman, K. & Thomas, M. (2016). Mathematical Model of Three Age-Structured Transmission Dynamics of Chikungunya Virus. Computational and mathematical methods in medicine, 2016.
Agusto, F. (2016). Optimal control of methicillin-resistant Staphylococcus aureus transmission in hospital settings. Applied Mathematical Modelling, 40(7), 4822–4843.
Gaoue, O. G., Jiang, J. Ding, W. Agusto, F. B., & Lenhart, S. (2016). Optimal harvesting strategies for timber and non-timber forest products in tropical ecosystems. Theoretical Ecology, 1–11.
Wang, Y. Jiang, J. Chen-Charpentier, B. Agusto, F. Hastings, A. Hoffman, F. Rasmussen, M. Smith, M. Todd-Brown, K. & Wang, Y. (2016). Responses of two nonlinear microbial models to warming and increased carbon input. Biogeosciences, 13(4), 887–902.
Rasmussen, M. Hastings, A. Smith, M. J., Agusto, F. B., Chen-Charpentier, B. M., Hoffman, F. M., Jiang, J. Todd-Brown, K. E., Wang, Y. & Wang, Y. (2016). Transit times and mean ages for nonautonomous and autonomous compartmental systems. Journal of mathematical biology, 1–20.
Bewick, S. Fagan, W. F., Calabrese, J. M., & Agusto, F. (2016). Zika virus: endemic versus epidemic dynamics and implications for disease spread in the Americas. bioRxiv, 041897.
Parham, P. E., Waldock, J. Christophides, G. K., Hemming, D. Agusto, F. Evans, K. J., Fefferman, N. Gaff, H. Gumel, A. & LaDeau, S. (2015). Climate, environmental and socio-economic change: weighing up the balance in vector-borne disease transmission. Phil. Trans. R. Soc. B, 370(1665), 20130551.
Agusto, F. B., Teboh-Ewungkem, M. I., & Gumel, A. B. (2015). Mathematical assessment of the effect of traditional beliefs and customs on the transmission dynamics of the 2014 Ebola outbreaks. BMC medicine, 13(1), 1.
Agusto, F. Knight, K. & Jones, M. (2015). Modeling of Community-and Hospital-acquired Methicillin-resistant Staphylococcus Aureus Transmission in Hospital Settings. BIOMATH, 4(2), 1511161.
Hota, S. Agusto, F. Joshi, H. R., & Lenhart, S. (2015). Optimal Control and Stability Analysis of an Epidemic model with Education Campaign and Treatment. . Dynamical Systems, Differential Equations and Applications AIMS Proceedings, 621–634.
JoshiI, H. R., Lenhart, S. Hota, S. & Agusto, F. (2015). Optimal control of an SIR model with changing behavior through an education campaign. Electronic Journal of Differential Equations, 2015(50), 1–14.
Agusto, F. Gumel, A. & Parham, P. (2015). Qualitative assessment of the role of temperature variations on malaria transmission dynamics. Journal of Biological Systems, 23(04), 1550030.
Agusto, F. B., Cook, J. Shelton, P. & Wickers, M. (2015). Mathematical Model of MDR-TB and XDR-TB with Isolation and Lost to Follow-Up. Abstract and Applied Analysis 2015 Hindawi Publishing Corporation.
Boete, C. Agusto, F. & Reeves, R. (2014). Impact of mating behaviour on the success of malaria control through a single inundative release of transgenic mosquitoes. Journal of theoretical biology, 347, 33–43.
Agusto, F. (2014). Malaria drug resistance: The impact of human movement and spatial heterogeneity. Bulletin of mathematical biology, 76(7), 1607–1641.
Agusto, F. & Adekunle, A. (2014). Optimal control of a two-strain tuberculosis-HIV/AIDS co-infection model. Biosystems, 119, 20–44.
Agusto, F. B., & Tchuenche, J. M. (2013). Control strategies for the spread of malaria in humans with variable attractiveness. Mathematical Population Studies, 20(2), 82–100.
Massaro, T. Lenhart, S. Spence, M. Drakes, C. Yang, G. Agusto, F. Wadhwa, A. & Eda, S. (2013). Modeling for cost analysis of johne’s disease control based on evelisa testing. Journal of Biological Systems, 21(04), 1340010.
Agusto, F. & Lenhart, S. (2013). Optimal control of the spread of malaria superinfectivity. Journal of Biological Systems, 21(04), 1340002.
Agusto, F. (2013). Optimal isolation control strategies and cost-effectiveness analysis of a two-strain avian influenza model. BioSystems, 113(3), 155–164.
Wang, Y. Chen, B. Wieder, W. Luo, Y. Leite, M. Medlyn, B. Rasmussen, M. Smith, M. Agusto, F. & Hoffman, F. (2013). Oscillatory behavior of two nonlinear microbial models of soil carbon decomposition. Biogeosciences Discussions, 10, 19661–19700.
Agusto, F. & Gumel, A. (2013). Qualitative dynamics of lowly-and highly-pathogenic avian influenza strains. Mathematical biosciences, 243(2), 147–162.
Agusto, F. B., Del Valle, S. Y., Blayneh, K. W., Ngonghala, C. N., Goncalves, M. J., Li, N. Zhao, R. & Gong, H. (2013). The impact of bed-net use on malaria prevalence. Journal of theoretical biology, 320, 58–65.
Sullivan, A. Agusto, F. Bewick, S. Su, C. Lenhart, S. & Zhao, X. (2012). A mathematical model for within-host Toxoplasma gondii invasion dynamics. Mathematical Biosciences and Engineering, 9(3), 647–662.
Agusto, F. Marcus, N. & Okosun, K. (2012). Application of optimal control to the epidemiology of malaria. Electronic Journal of Differential Equations, 2012(81), 1–22.
Agusto, F. B., Bewick, S. & Parshad, R. D. (2012). Mosquito management in the face of natural selection. Mathematical biosciences, 239(1), 154–168.
Parshad, R. D., & Agusto, F. B. (2011). Global dynamics of a PDE model for Aedes aegypti mosquitoe incorporating female sexual preference. Dynamics of Partial Differential Equations, 8, 311–343.
Agusto, F. B., Lenhart, S. Gumel, A. B., & Odoi, A. (2011). Mathematical analysis of a model for the transmission dynamics of bovine tuberculosis. Mathematical Methods in the Applied Sciences, 34(15), 1873–1887.
Tchuenche, J. Khamis, S. Agusto, F. & Mpeshe, S. (2011). Optimal control and sensitivity analysis of an influenza model with treatment and vaccination. Acta biotheoretica, 59(1), 1–28.
Agusto, F. & Ogunye, O. (2010). Avian Influenza optimal seasonal vaccination strategy. The ANZIAM Journal, 51(04), 394–405.
Agusto, F. & Okosun, K. (2010). Optimal seasonal biocontrol for Eichhornia crassipes. International Journal of Biomathematics, 3(03), 383–397.
Agusto, F. B., & Gumel, A. B. (2010). Theoretical assessment of avian influenza vaccine. DCDS Series B, 13(1), 1–25.
Agusto, F. (2009). Application of Optimal Control to the Epidemiology of HIV-Malaria Co-infection. Nova Sciences Publishers, Inc, 139–167.
Agusto, F. (2009). Optimal chemoprophylaxis and treatment control strategies of a tuberculosis transmission model. World journal of modelling and simulation, 5(3), 163–173.
Agusto, F. (2008). Adomian Decomposition Method for the Solution of Optimal Control of Waste Water Model. Mathematical Sciences, 2(2), 159–180.
Agusto, F. & Bamigbola, O. (2008). Existence and uniqueness for optimal control of Oxygen absorption in aquatic system. Applied Sciences, 10, 9–18.
Agusto, F. & Bamigbola, O. (2007). Numerical Treatment of the Mathematical Models for Water Pollution. Journal of Mathematics and Statistics, 3(4), 172–180.
Agusto, F. B., & Bamigbola, O. M. (2006). Optimal Control for Oxygen Depletion in an Aquatic System. Research Journal of Applied Sciences, I(1-4), 63–66..
Agusto, F. Bamigbola, O. & Layeni, O. (2004). Optimal control for filtration. Proceedings of the Third International Conference on Contemporary Problems in Mathematical Physics, Cotonou, Benin, 170–174.
Bamigbola, O. & Agusto, F. (2004). Optimization in $Rn$ by Coggin’s method!!! International Journal of Computer Mathematics, 81(9), 1145–1152.
The ecological component of my research entails, inter alia, studying the effect of environmental variables (such as temperature) on the abundance of disease vectors as well as modeling invasive species and forest/beetle interactions (aimed at controlling the adverse impact of the species). The epidemiological component of my work is focused on understanding the transmission mechanisms of disease and to determine effect control strategies. I have designed and analyzed novel models for the dynamics of diseases such as Ebola, avian influenza, bovine tuberculosis, Johnes disease, toxplasmagondii, Chikungunya, and malaria.
Joshi, H. R., S. Lenhart, S. Hota, and F. B. Agusto. 2015. Optimal control of SIR Model with changing behavior through the Education Campaign. Journal of Differential Equations 50: 1-14.
Agusto, F.B. 2014. Malaria drug resistance: The impact of human movement and spatial heterogeneity. Bulletin of Mathematical Biology 76(7): 1607-1641.
Agusto, F. B. and A. I. Adekunle. 2014. Optimal control of a two-strain tuberculosis-HIV/AIDS co-infection model. BioSystems 119: 20-44.
Boete, C., F.B. Augusto, and R.G. Reeves. 2014. Impact of mating behaviour on the success of malaria control through a single inundative release of transgenic mosquitoes. Journal of Theoretical Biology 347(21): 33-43.
Agusto, F.B., and S. Lenhart. 2013. Optimal control of the spread of malaria super-infectivity. Journal of Biological Systems 21: 4.
Massaro, T., M. Spence, C. Drakes, G. Yang, A. Wadhwa, F.B. Agusto, S. Lenhart, B. Whitlock, and S. Eda. 2013. Modeling for cost analysis of Johne's disease control based on EVELISA testing. Journal of Biological Systems 21: 4.
Wang, Y.P., B. Chen, W. Wieder, Y. Luo, M. Leite, B. Medlyn, M. Rasmussen, M. Smith, F.B. Agusto, and F. Hoffman. 2013. Oscillatory behavior of two nonlinear microbial models of soil carbon decomposition. Global Change Biology 10: 19661-19700.
Agusto, F.B. 2013. Optimal isolation control strategies of a two-strain avian influenza model. BioSystems 113(3): 155-164.
Agusto, F.B. and A. B. Gumel. 2013. Quantitative analysis for a model for the transmission dynamics of low and highly pathogenic avian influenza. Journal Mathematical Biosciences 243(2): 147-162.
Agusto, F. B. and J. M. Tchuenche. 2013. Control strategies for the spread of malaria in humans with variable attractiveness. Journal of Mathematical Population Studies 20(2): 82-100. doi: 10.1080/08898480.2013.777239
Agusto, F.B., S. Y. Del Valle, K. W. Blayneh, C.N. Ngonghala, M.J. Goncalves, N. Li, R. Zhao, and H. Gong. 2013. The impact of bed-net use on malaria prevalence. Journal of Theoretical Biology 320(7): 58-65.
Sullivan, A., F.B. Agusto, S. Bewick, C. Su, S. Lenhart, and X. Zhao. 2012. A mathematical model for within-host toxoplasma gondii invasion dynamics model for within-host toxoplasma gondii invasion dynamics. Journal Mathematical Biosciences and Engineering 9(3): 647-662.
Agusto, F.B., N. Marcus, and K.O. Okosun. 2012. Application of optimal control to the epidemiology of malaria disease. Journal of Differential Equations 2012(81): 1-22.
Agusto, F. B., S. Bewick, and R.D. Parshad. 2012. Mosquito management in the face of natural selection. Journal of Mathematical Biosciences. 239: 154-168.
Agusto, F. B., A. B. Gumel, S. Lenhart, and A. Odoi. 2011. Mathematical analysis of the transmission dynamics of bovine tuberculosis model. Journal of Mathematical Methods in Applied Sciences 34: 1873-1887.
Parshad, R. D. and F. B. Agusto. 2011. Global dynamics of a PDE model for Aedes aegypti mosquitoe incorporating female sexual preference. Dynamics of PDE 8(4): 311-343.