Department of Mathematics and Statistics Texas Tech University

Office: MA227 Phone: (806) 834-7006

Fax: (806)742-1112

E-mail: sophia.jang@ttu.edu

Spring 2015

Calculus I with Applications (Math 1451, syllabus)

Trigonometry (Math 1321, syllabus)

__Previous Semesters__Trigonometry (Math 1321)

Calculus I (Math 1351)

Calculus I for Life Sciences (Math 1351)

Calculus II (Math 1352)

Calculus II with Applications (Math 1452)

Linear Algebra (Math 2360)

Statistical Methods for Engineers and Scientists (Math 3342)

Higher Mathematics for Engineers and Scientists I (Math 3350)

Higher Mathematics for Engineers and Scientists II (Math 3351)

Differential Equations I (Math 3354)

Applied Linear Algebra (Math 5316)

Theory of Ordinary Differential Equations I (Math 5330)

Biomathematics I (Math 5354)

Biomathematics II (Math 5355)

# Graduate Students Directed

Mihiri De Silva, Ph.D., current.

Mihiri De Silva,

*Dynamics of a Lotka-Volterra competition system with Allee eﬀects and stocking*, M.S., Texas Tech University, December 2014.Julie Bumbaugh,

*A dynamical system study of the Hodgkin-Huxley model of nerve membranes*, co-chaired with L. Roeger, M.S., Texas Tech University, August 2012.Shannon Hallman,

*Persistence and extinction in stage-structured population models of the painted turtle*, M.S., Texas Tech University, May 2012.Cassandra Sturgill,

*Harvesting in stage-structured populations with applications to the red snapper*, M.S., Texas Tech University, May 2012.Youssef Dib,

*Continuous and discrete models in population biology*, co-chaired with A. Ackleh, Ph.D., University of Louisiana at Lafayette, May 2007.

Mathematical Biology, Dynamical Systems, Diﬀerence and Diﬀerential Equations.

Y. Chow, S. Jang, Dynamics of a system of three interacting populations with Allee eﬀects and stocking,

*Journal of Diﬀerence Equations and Applications*, to appear.Y. Chow, S. Jang, Asymptotic dynamics of the Leslie-Gower competition system with Allee eﬀects and stocking,

*Advances in Diﬀerence Equations*, to appear.L. Anderson, S. Jang, J. Yu, Qualitative behavior of systems of tumor-CD4+-cytokine interactions with treatments,

*Mathematical Methods in the Applied Sciences*, to appear.Y. Chow, S. Jang, Allee eﬀects in a Ricker-type predator-prey system,

*Journal of Diﬀerence Equations and Applications*, 20, 1350-1371, 2014.E. Aulisa, S. Jang, Continuous-time predator-prey systems with Allee eﬀects in the prey,

*Mathematics and Computers in Simulation*, 105, 1-16, 2014.S. Jang, J. Baglama, L. Wu, Dynamics of phytoplankton-zooplankton systems with toxin producing phytoplankton,

*Applied Mathematics and Computation*, 227, 717-740, 2014.Y. Chow, S. Jang, Multiple attractors in a Leslie-Gower competition system with Allee eﬀects,

*Journal of Diﬀerence Equations and Applications*, 20, 169-187, 2014.S. Jang, Competitive exclusion and coexistence in a Leslie-Gower competition model with Allee eﬀects,

*Applicable Analysis*, 92, 1527–1540, 2013.C. Sturgill, S. Diamond, S. Jang, Harvesting in a stage-structured population with applications to the red snapper in the Gulf of Mexico,

*Journal of Biological Systems*, 21(2), 1350009(1–29), 2013.S. Jang, On the Lotka-Volterra competition system with Allee eﬀects,

*Computational and Applied Mathematics*, 32, 179–189, 2013.Y. Chow, S. Jang, Coexistence in a discrete competition model with dispersal,

*Journal of Diﬀerence Equations and Applications*, 19, 615–632, 2013.S. Jang, J. Yu, Discrete-time host-parasitoid models with pest control,

*Journal of Biological Dynamics*, 6, 718–739, 2012.Y. Chow, S. Jang, Global stability of a juvenile-adult population with cannibalism,

*Proceedings of Dynamic Systems and Applications*, 6, 119–123, 2012.Y. Chow, S. Jang, Cannibalism in discrete-time predator-prey systems,

*Journal of Biological Dynamics*, 6, 38–62, 2012.S. Jang, Continuous-time deterministic and stochastic Lotka-Volterra competition sys- tems with Allee eﬀects,

*Far East Journal of Applied Mathematics*, 56, 11–31, 2011.S. Jang, J. Yu, Dynamics of a discrete-time host-parasitoid system with cannibalism,

*Journal of Biological Dynamics*, 5, 419–435, 2011.S. Jang, Discrete-time host-parasitoid models with Allee eﬀects: density dependence versus parasitism,

*Journal of Diﬀerence Equations and Applications*, 17, 525–539, 2011.S. Jang, Allee eﬀects in an iteroparous host population and in host-parasitoid interac- tions,

*Discrete and Continuous Dynamical Systems, Series B*, 15, 113–135, 2011.S. Jang, J. Baglama, L. Wu, Random dispersal in a predator-prey-parasite system,

*Journal of Biological Systems*, 18, 825–845, 2010.S. Jang, Dynamics of an age-structured population with Allee eﬀects and harvesting,

*Journal of Biological Dynamics*, 4, 409–427, 2010.S. Jang, Discrete host-parasitoid models with Allee eﬀects and age structure in the host,

*Mathematical Biosciences and Engineering*, 7, 67–81, 2010.S. Jang, J. Yu, Models of plant quality and larch budmoth interaction,

*Nonlinear Analysis: Theory, Methods & Applications*, 71, e1904–e1908, 2009.S. Jang, Cannibalism in a discrete predator-prey model with an age structure in the prey,

*Advanced Studies in Pure Mathematics*, 53, 87–94, 2009.S. Jang, S. Diamond, Stability analysis of a continuous-time model of populations of two host and two parasitoid interaction with a chemical response,

*Dynamics of Continuous, Discrete and Impulsive Systems, Series A Supplement*, 155–161, 2009.S. Jang, D. Johnson, Dynamics of discrete-time larch budmoth population models,

*Journal of Biological Dynamics*, 3, 209–223, 2009.S. Jang, J. Baglama, Continuous-time predator-prey models with parasites,

*Journal of Biological Dynamics*, 3, 87–98, 2009.S. Jang, Backward bifurcation in a discrete SIS model with vaccination,

*Journal of Biological Systems*, 16, 479–494, 2008.S. Jang, Coexistence in a discrete, size-structured chemostat model with an inhibitor,

*Far East Journal of Applied Mathematics*, 32, 337–359, 2008.S. Jang, J. Baglama, J. Rick, Plankton-toxin interaction with a variable input nutrient,

*Journal of Biological Dynamics*, 2, 14–30, 2008.S. Jang, On a discrete West-Nile epidemic model,

*Computational & Applied Mathe- matics*, 26, 397–414, 2007.A. Ackleh, Y. Dib, S. Jang, A three-stage discrete-time population model: continuous versus seasonal reproduction,

*Journal of Biological Dynamics*, 1, 291–304, 2007.S. Jang, S. Diamond, A host-parasitoid interaction with Allee eﬀects on the host,

*Computers and Mathematics with Applications*, 53, 89–103, 2007.A. Ackleh, S. Jang, A discrete two-stage population model: continuous versus seasonal reproduction,

*Journal of Diﬀerence Equations and Applications*, 13, 261–274, 2007.S. Jang, Allee eﬀects in a discrete-time host-parasitoid model with stage structure in the host,

*Discrete and Continuous Dynamical Systems, Series B*, 8, 145–159, 2007.A. Ackleh, Y. Dib, S. Jang, Competitive exclusion and coexistence in a nonlinear refuge-mediated selection model,

*Discrete and Continuous Dynamical Systems, Series B*, 7, 683–698, 2007.K. Blayneh, S. Jang, A discrete SIS-model for a vector-transmitted disease,

*Applicable Analysis*, 85, 1271–1284, 2006.S. Jang, Allee eﬀects in a discrete-time host-parasitoid model,

*Journal of Diﬀerence Equations and Applications*, 12, 165–181, 2006.S. Jang, J. Baglama, J. Rick, Nutrient-phytoplankton-zooplankton models with a toxin,

*Mathematical and Computer Modelling*, 43, 105–118, 2006.S. Jang, Nonstandard fi diﬀerence methods and biological models, in

*Advances in the Applications of Nonstandard Finite Diﬀerence Schemes*, edited by R. Mickens, Vol.2, 423–456, World Scientific, 2006.S. Jang, J. Yu, Dynamics of a host-parasitoid interaction,

*Proceedings of the Conference on Diﬀerential & Diﬀerence Equations and Applications*, 451–456, 2006.S. Jang, J. Baglama, Nutrient-plankton interaction with a toxin in a variable input nutrient environment,

*Current Developments in Mathematical Biology, Series on Knots and Everything*, 38, 131–147, 2006.S. Jang, Contest and scramble competition with a dynamic resource,

*Nonlinear Anal- ysis: Theory, Methods & Applications*, 63, e109–e118, 2005.A. Ackleh, Y. Dib, S. Jang, A discrete Beverton-Holt competition model,

*Proceedings of the 9th International Conference on Diﬀerence Equations and Applications*, 1–9, 2005.S. Jang, J. Baglama, Droop models of nutrient-plankton interaction with intratrophic predation,

*Applied Mathematics and Computation*, 169, 1106–1128, 2005.S. Jang, A discrete, size-structured chemostat model of plasmid-bearing and plasmid- free competition,

*Journal of Diﬀerence Equations and Applications*, 11, 619–634, 2005.S. Jang, A. Ackleh, Discrete-time, discrete stage-structured predator-prey models,

*Journal of Diﬀerence Equations and Applications*, 11, 399–413, 2005.S. Jang, J. Baglama, Nutrient-plankton models with nutrient recycling,

*Computers and Mathematics with Applications*, 49, 375–387, 2005.S. Jang, J. Baglama, P. Seshaiyer, Intratrophic predation in a simple food chain with fl nutrient,

*Discrete and Continuous Dynamical Systems, Series B*, 5, 335– 352, 2005.S. Jang, J. Cushing, Dynamics of hierarchical models in discrete-time,

*Journal of Diﬀerence Equations and Applications*, 11, 95–115, 2005.S. Jang, A discrete, hierarchically-structured population model,

*Proceedings of Dy- namic Systems and Applications*, 4, 403–408, 2004.S. Jang, B. Jang, Computer simulations of mathematical models arising in bioreme- diation.

*Proceedings of the International Conference on Mathematics and Engineering Techniques in Medicine and Biological Sciences*, 340–346, 2003.S. Jang, S. Elaydi, Diﬀerence equations from discretization of a continuous epidemic model with immigration of infectives,

*Canadian Applied Mathematics Quarterly*, 11, 93–105, 2003.S. Jang, J. Baglama, Persistence in variable-yield nutrient-plankton models with nu- trient recycling,

*Mathematical and Computer Modelling*, 38, 281–298, 2003.S. Jang, J. Cushing, A discrete hierarchical model of intra-specific competition,

*Journal of Mathematical Analysis and Applications*, 280, 102–122, 2003.S. Jang, S. Diamond, Population-level eﬀects of density dependence in a size-structured fi model,

*Applied Mathematics and Computation*, 139, 133–155, 2003.R. Abu-Saris, S. Elaydi, S. Jang, Poincar´e type solutions of systems of diﬀerence equa- tions,

*Journal of Mathematical Analysis and Applications*, 275, 69–83, 2002.S. Jang, Dynamics of herbivore-plant-pollinator models,

*Journal of Mathematical Bi- ology*, 44, 129–149, 2002.S. Jang, J. Baglama, A nutrient-prey-predator model with intratrophic predation,

*Ap- plied Mathematics and Computation*, 129, 517–536, 2002.S. Jang, Geometric eigenspace of the generator of c0-semigroups of positive operators,

*Integral Equations and Operator Theory*, 39, 292–304, 2001.S. Jang, B. Jang, Thresholds for mathematical models of microbial interaction.

*Pro- ceedings of the Thirteenth IEEE Symposium on Computer Based Medical Systems*, 157–162, 2000.S. Jang, A note on the asymptotic properties of some nonautonomous matrix diﬀerence equations.

*Proceedings of the Fourth International Conference on Diﬀerence Equations and Applications*, 189–202, 2000.S. Jang, A note on the asymptotic properties of positive, eventually compact operators,

*Mathematical Journal of Toyama University*, 23, 1–13, 2000.S. Jang, On the peripheral spectrum of order continuous, positive operators,

*Positivity*,## 4, 119–130, 2000.

S. Jang, J. Baglama, Qualitative behavior of a variable-yield simple food chain with an inhibiting nutrient,

*Mathematical Biosciences*, 164, 65–80, 2000.S. Jang, A. Mitra, Equilibrium stability of single-species metapopulations,

*Bulletin of Mathematical Biology*, 62, 155–161, 2000.S. Jang, Dynamics of variable-yield nutrient-phytoplankton-zooplankton models with nutrient recycling and self-shading,

*Journal of Mathematical Biology*, 40, 229–250, 2000.S. Jang, L. Allen, A simple food chain with a growth inhibiting nutrient,

*Applied Mathematics and Computation*, 104, 277–298, 1999.S. Jang, Global asymptotic behavior of some structured population models,

*Canadian Applied Mathematics Quarterly*, 6, 355–366, 1998.S. Jang, The test statistics of correlation coeﬃcients from a simply equicorrelated sample of multivariate normal distribution,

*Soochow Journal of Mathematics*, 24, 297– 304, 1998.S. Jang, A mathematical model and computer simulations of interactions between microbes.

*Proceedings of the Eleventh IEEE Symposium on Computer Based Medical Systems*, 151–156, 1998.S. Jang, A note on the strong ergodic theorem of some discrete models,

*Journal of Diﬀerence Equations and Applications*, 3, 55–63, 1997.S. Jang, A note on pseudo resolvents,

*Hiroshima Mathematics Journal*, 26, 289–294, 1996.S. Jang, H.D. Victory, Jr., On nonnegative solvability of linear operator equations,

*Integral Equations and Operator Theory*, 18, 88–108, 1994.S. Jang, On the minimax property of positive, irreducible, eventually compact opera- tors,

*Soochow Journal of Mathematics*, 19, 59–71, 1993.S. Jang, H.D. Victory, Jr., On the ideal structure of positive, eventually compact linear operators on Banach lattices,

*Pacific Journal of Mathematics*, 157, 57–85, 1993.S. Jang, H.D. Victory, Jr., On nonnegative solvability of linear integral operator equa- tions,

*Linear Algebra and its Applications*, 165, 197–228, 1992.S. Jang, H.D. Victory, Jr., Frobenius decomposition of positive compact operators, in

*Positive Operators, Riesz Spaces, and Economics*, Vol.2, Springer Studies in Economic Theory, 195–224, Springer Verlag, 1991.

Journal of Diﬀerence Equations and Applications, 2012–present.

Progress in Applied Mathematics, 2012–present.

Studies in Mathematical Sciences, 2012–present.

International Journal of Analysis and Applications, 2013–present.

Far East Journal of Applied Mathematics, 2013–2016.