Sophia Jang
Assistant Professor

Contact:
Office: 405 Maxim Doucet
Phone: 337-482-6411
E-mail: jang@louisiana.edu
Home page: not available

Degrees:
Ph.D. 1990 Texas Tech University

Statement:
My main research interest involves using deterministic ordinary differential equations and difference equations to study ecology and population biology. The asymptotic behavior of the solutions of the resulting systems is of particular interest.

Selected research publications:

• Competitive exclusion and coexistence in a nonlinear refuge-mediated selection model(with A. Ackleh and Y. Dib), Discrete and Continuous Dynamical Systems, Series B, 7 (2007), 683-698.
• Allee effects in a discrete-time host-parasitoid model with stage structure in the host, Discrete and Continuous Dynamical Systems, Series B, 8 (2007), 145-159.
• Nutrient-phytoplankton-zooplankton models with a toxin (with J. Baglama, J. Rick), Mathematical and Computer Modelling, 43 (2006), 105-118.
• Allee effects in a discrete-time host-parasitoid model, Journal of Difference Equations and Applications, 12 (2006), 165-182.
• Dynamics of hierarchical models in discrete-time (with J. Cushing), Journal of Difference Equations and Applications, 11 (2005), 95-115.
• Intratrophic predation in a simple food chain with fluctuating nutrient (with J. Baglama, P. Seshaiyer), Discrete and Continuous Dynamical Systems, Series B, 5 (2005), 335-352.
• Discrete-time, discrete stage-structured predator-prey models (with A. Ackleh), Journal of Difference Equations and Applications, 11 (2005), 399-413.
• A discrete hierarchical model of intra-specific competition (with J. Cushing), J. Math. Anal. Appl., 280 (2003), 102-122.
• Population-level effects of density dependence in a size-structured fishery model (with S. Diamond), Appl. Math. Compu., 139 (2003), 133-155.
• Poincare types solutions of systems of difference equations (with R. Abu-Saris and S. Elaydi), J. Math. Anal. Appl., 275 (2002), 69-83.
• A nutrient-prey-predator model with intratrophic predation (with J. Baglama), Appl. Math. Comput., 129 (2002), 517-536.
• Dynamics of herbivore-plant-pollinator models, J. Math. Biol., 44 (2002), 129-149.
• Geometric eigenspace of the generator of c₀-semigroups of positive operators, Integr. Equ. Oper. Theo., 39 (2001), 292-304.
• Qualitative behavior of a variable-yield simple food chain with an inhibiting nutrient (with J. Baglama), Math. Biosci., 164 (2000), 65-80.
• Equilibrium stability of single-species metapopulations (with A. Mitra), Bull. Math. Biol., 62 (2000), 155-161.
• Dynamics of variable-yield nutrient-phytoplankton-zooplankton models with nutrient recycling and self-shading, J. Math. Biol., 40 (2000), 229-250.
• On the peripheral spectrum of order continuous, positive operators, Positivity, 4 (2000), 119-130.