Dr. Yuri Yatsenko is an internationally recognized expert in modeling and optimization of economic, industrial, and environmental systems, technological change, innovations, and Operations Research. During his career, he was a professor at science, technology and business schools in USA, Ukraine, Poland, and Canada and held senior analyst positions at three international companies in USA and Canada. In 2002-2022, he has been a business professor at Houston Baptist University.
The paper discusses and explores several prospective economic-environmental models with separate ... more The paper discusses and explores several prospective economic-environmental models with separate investments into mitigation and adaptation. The offered model generates essential implications about associated long-term environmental policies such as the optimal adaptation/mitigation ratio. The author focuses on an analytic model of two countries in competitive and collaborative cases.
International Journal of Ecology & Development, Mar 21, 2007
The equipment replacement under technological change is a developing dynamic system with controll... more The equipment replacement under technological change is a developing dynamic system with controlled delay (unknown equipment lifetime) in changing environment. The paper analyzes discrete and continuous-time models of equipment replacement and compares their qualitative dynamics. In particular, it explains the source of minimum forecast horizon property in the discrete models and shows that there is no forecast horizon in continuous models. The forecast horizon is the optimization horizon such that the first optimal lifetime remains the same for any longer horizon
The paper focuses on modeling of public health measures to control the COVID‐19 pandemic. The aut... more The paper focuses on modeling of public health measures to control the COVID‐19 pandemic. The authors suggest a flexible integral model with distributed lags, which realistically describes COVID‐19 infectiousness period from clinical data. It contains susceptible–infectious–recovered (SIR), susceptible–exposed–infectious–recovered (SEIR), and other epidemic models as special cases. The model is used for assessing how government decisions to lockdown and reopen the economy affect epidemic spread. The authors demonstrate essential differences in transition and asymptotic dynamics of the integral model and the SIR model after lockdown. The provided simulation on real data accurately describes several waves of the COVID‐19 epidemic in the United States and is in good correspondence with government actions to curb the epidemic.
We consider a nonlinear profit maximization problem in the Lotka–McKendrick model of age-structur... more We consider a nonlinear profit maximization problem in the Lotka–McKendrick model of age-structured harvested population describing farmed populations in agriculture and aquaculture. The control fu...
This chapter explores aggregate optimization models of the neoclassic economic growth theory, whi... more This chapter explores aggregate optimization models of the neoclassic economic growth theory, which are based on the concept of production functions. The models are described by ordinary differential equations and involve static and dynamic optimization. Section 2.1 analyzes production functions with several inputs, their fundamental characteristics, and major types (Cobb–Douglas, CES, Leontief, and linear). Special attention is given to two-factor production functions and their use in the neoclassic models of economic growth. Sections 2.2 and 2.3 describe and analyze the well-known Solow–Swan and Solow–Ramsey models. Section 2.4 contains maximum principles used to analyze dynamic optimization problems in this and other chapters.
The paper discusses and explores several prospective economic-environmental models with separate ... more The paper discusses and explores several prospective economic-environmental models with separate investments into mitigation and adaptation. The offered model generates essential implications about associated long-term environmental policies such as the optimal adaptation/mitigation ratio. The author focuses on an analytic model of two countries in competitive and collaborative cases.
International Journal of Ecology & Development, Mar 21, 2007
The equipment replacement under technological change is a developing dynamic system with controll... more The equipment replacement under technological change is a developing dynamic system with controlled delay (unknown equipment lifetime) in changing environment. The paper analyzes discrete and continuous-time models of equipment replacement and compares their qualitative dynamics. In particular, it explains the source of minimum forecast horizon property in the discrete models and shows that there is no forecast horizon in continuous models. The forecast horizon is the optimization horizon such that the first optimal lifetime remains the same for any longer horizon
The paper focuses on modeling of public health measures to control the COVID‐19 pandemic. The aut... more The paper focuses on modeling of public health measures to control the COVID‐19 pandemic. The authors suggest a flexible integral model with distributed lags, which realistically describes COVID‐19 infectiousness period from clinical data. It contains susceptible–infectious–recovered (SIR), susceptible–exposed–infectious–recovered (SEIR), and other epidemic models as special cases. The model is used for assessing how government decisions to lockdown and reopen the economy affect epidemic spread. The authors demonstrate essential differences in transition and asymptotic dynamics of the integral model and the SIR model after lockdown. The provided simulation on real data accurately describes several waves of the COVID‐19 epidemic in the United States and is in good correspondence with government actions to curb the epidemic.
We consider a nonlinear profit maximization problem in the Lotka–McKendrick model of age-structur... more We consider a nonlinear profit maximization problem in the Lotka–McKendrick model of age-structured harvested population describing farmed populations in agriculture and aquaculture. The control fu...
This chapter explores aggregate optimization models of the neoclassic economic growth theory, whi... more This chapter explores aggregate optimization models of the neoclassic economic growth theory, which are based on the concept of production functions. The models are described by ordinary differential equations and involve static and dynamic optimization. Section 2.1 analyzes production functions with several inputs, their fundamental characteristics, and major types (Cobb–Douglas, CES, Leontief, and linear). Special attention is given to two-factor production functions and their use in the neoclassic models of economic growth. Sections 2.2 and 2.3 describe and analyze the well-known Solow–Swan and Solow–Ramsey models. Section 2.4 contains maximum principles used to analyze dynamic optimization problems in this and other chapters.
Uploads
Papers by Yuri Yatsenko