Ellina Grigorieva, Ph.D.
Professor of Mathematics and Computer Science | Texas Woman's University
Denton, TX, UNITED STATES
Ellina Grigorieva has published extensively on the application of optimal control and game theory to business and economics.
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Biography
Description of research activities:
Most of my 50 or so papers emphasize the utility of analytical methods and have been published in the area of the application of optimal control and game theory to business and economics. Within this field of application, analytical methods of nonlinear optimal control have the benefit of tractability and interpretability over the conventional numerical methods through the type structures associated with switching functions which yield in a natural way to game-theoretic analysis.
I am presently actively engaged in the following specific research topics:
1. Optimization of the Waste Water Treatment.
2. Mathematical Modeling in Ecology
3. Differential Games
4. Math Education: USAMO Student Preparation
Industry Expertise (2)
Education/Learning
Research
Areas of Expertise (8)
Optimal Control
Differential Games
Mathematical Modeling
Math Education
Higher Education
Mathematics Education
Water Treatment
Geometry
Accomplishments (2)
2014 TWU Award for Distinction in Scholarship (professional)
2014-01-01
Texas Woman’s University
Best paper (professional)
2012-01-04
For “Optimal Control of HIV Treatment “presented to the American Mathematical Society in the Session of Optimal Control at the Joint AMS-MAA Meeting in Boston, January 4, 2012.
Education (2)
Lomonosov Moscow State University: Ph.D., Mathematical and Physical Sciences 1996
Lomonosov Moscow State University: M.S., Mathematics
Affiliations (5)
- American Mathematical Society : Member
- Mathematical Association of America : Member
- Society of Industrial and Applied Mathematics : Member
- Russian Society of Scientists : Member
- National Geographic Society : Member
Links (1)
Languages (2)
- English
- Russian
Event Appearances (5)
Analytical Study of Optimal Control Intervention Strategies for Ebola Epidemic Modeling
International SIAM 2015 Paris, France
2015-07-08
Different Approaches in Solving Optimal Control Problems for Compartmental Models
9th International Conference on Differential Equations and Dynamical Systems Dallas, TX
2015-05-14
Successes and Challenges in Teaching Mathematics
JMM 2015 San Antonio, TX
2015-01-13
Optimal Epidemic Control at Changing Population Size
10th International AIMS conference on Dynamical Systems, Differential Equations and Applications Madrid, Spain
2014-07-08
Optimal Production-Sales Strategies for a Company at Changing Market Price
International Conference SIMMAC XIX San Jose, Costa Rica
2014-03-01
Articles (5)
Analytical Study of Optimal Control Intervention Strategies for Ebola Epidemic Model
Society for Industrial and Applied Mathematics
2015 A SEIR type model for the spread of Ebola epidemic in a population of constant size is considered. In order to control the spread of infection and prevent such epidemics, we add to the model four bounded controls.
Optimal Production-Sales Strategies for a Company at Changing Market Price
Mathematical Review
2015 In this paper we consider a monopoly producing a consumer good of high demand. Its market price depends on the volume of the produced goods described by the Cobb-Douglas production function. A production sales activity of the firm is modeled by a nonlinear differential equation with two bounded controls: the share of the profit obtained from sales that the company reinvests into expanding own production, and the amount of short-term loans taken from a bank for the same purpose.
Time Optimal Control Problem for the Waste Water Biotreatment Model
Journal of Dynamical and Control Systems
2015 This work is devoted to solving the time optimal control problem of a mathematical model describing the process of biological waste water treatment and is given as a three-dimensional nonlinear control system of differential equations.
Optimal Control for an Epidemic in Populations of Varying Size
Dynamical Systems and Differential Equations, AIMS Proceedings 2015
2014 For a Susceptible-Infected-Recovered (SIR) control model with varying population size, the optimal control problem of minimization of the infected individuals at a terminal time is stated and solved. Three distinctive control policies are considered, namely the vaccination of the susceptible individuals, treatment of the infected individuals and an indirect policy aimed at reduction of the transmission.
An Optimal Control Problem for Borrowing
Computational Mathematics and Modeling
2014 We consider the problem of maximizing the weighted average of the final stock of production assets of a firm and its retained earnings accumulated on a given time interval.
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