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.
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.