Professor Abdul-Aziz Yakubu, Ph.D.
Department of Mathematics
Washington DC 20059
Room ASB-B 204
e-mail : firstname.lastname@example.org
Ph.D. (1990) North Carolina State University
Research Interests: Dynamical systems and Mathematical Biology
My research encompasses theoretical investigations of nonlinear systems that arise in the diverse fields of ecology, population dynamics, epidemiology and demography. I am interested in a wide variety of equations that define dynamical systems, including difference equations, recursive formulas, matrix equations, ordinary and partial differential equations, and delay equations. My work focuses on asymptotic dynamics, i.e., stability analysis, bifurcation analysis, oscillations, periodic solutions (forced or unforced), aperiodic dynamics, and chaos.
I also maintain a research interest in the asymptotic dynamics of discrete-time systems defined by recursive formulas, and particularly systems of this type that arise in applications to fisheries. In collaboration with scientists at the North East Fisheries Science Center (NEFSC-NOAA), I study the implications of linkages among subpopulations to determine the stability and resilience of exploited species.
- Mutual exclusion versus coexistence for discrete competitive systems. J. Math. Biol. 30 (1991), no. 2, 161-168 (with J. Franke).
- Searching predator and prey dominance in discrete predator-prey systems with dispersion. SIAM J. Appl. Math. 61 (2000), no. 3, 870 - 888.
- Dispersal, disease and life-history evolution. Math. Biosci. 173 (2001), no. 1, 35 - 53 (with C. Castillo-Chavez).
- Global stability of cycles: Lotka-Volterra competition model with stocking. J. Difference Equ. Appl. 8 (2002), no. 6, 537 - 549 (with S. Elaydi).
- Interplay between local dynamics and dispersal in discrete-time metapopulation models. J. Theoret. Biol. 218 (2002), no. 3, 273--288 (with C. Castillo-Chavez).
- Monarch butterfly spatially discrete advection model. Math. Biosci. 190 (2004), no. 2, 183 - 202 (with R. Sáenz, J. Stein and L. Jones).