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- Suzanne Lenhart
- SIAM Review
- 1995

We examine an ordinary differential system modeling the interaction of the HIV virus and the immune system of the human body. The optimal control represents a percentage effect the chemotherapy has on the interaction of the CD4 + T cells with the virus. We maximize the benefit based on the T cell count and minimize the systemic cost based on the percentage… (More)

- Wandi Ding, Suzanne Lenhart
- Modeling Paradigms and Analysis of Disease…
- 2010

- E. Jung, S. Lenhart, Z. Feng, Glenn Webb, Z. FENG
- 2002

Optimal control theory is applied to a system of ordinary differential equations modeling a two-strain tuberculosis model. Seeking to reduce the latent and infectious groups with the resistant-strain tuberculosis, we use controls representing two types of treatments. The optimal controls are characterized in terms of the optimality system, which is solved… (More)

- Paula Federico, Louis J Gross, Suzanne Lenhart, Dan Ryan
- The American naturalist
- 2013

Use of individual-based models (IBMs) has been expanding in both theoretical and applied ecology. IBMs include details at the level of individuals that may lead to different conclusions from aggregated modeling methods. There has been essentially no guidance available on how to most effectively manage populations when the underlying dynamics are best… (More)

- Seema Nanda, Helen Moore, Suzanne Lenhart
- Mathematical biosciences
- 2007

We consider a mathematical model of drug therapy for chronic myelogenous leukemia for an individual patient over a fixed time horizon. The disease dynamics are given by a system of ordinary differential equations that describe the interaction between naive T cells, effector T cells and leukemic cancer cells in a hypothetical patient. We introduce two drug… (More)

- Paul E Parham, Joanna Waldock, +15 authors Edwin Michael
- Philosophical transactions of the Royal Society…
- 2015

Arguably one of the most important effects of climate change is the potential impact on human health. While this is likely to take many forms, the implications for future transmission of vector-borne diseases (VBDs), given their ongoing contribution to global disease burden, are both extremely important and highly uncertain. In part, this is owing not only… (More)

This paper considers the optimal control of a degenerate parabolic partial differential equation governing a diusive population with logistic growth terms. Assuming this population causes damage to forest and agricultural land, the optimal control is the trapping rate and the cost functional is a combination of the damage and trapping costs. We prove… (More)

- Wandi Ding, Louis J Gross, Keith Langston, Suzanne Lenhart, Leslie A Real
- Journal of biological dynamics
- 2007

An epidemic model for rabies in raccoons is formulated with discrete time and spatial features. The goal is to analyze the strategies for optimal distribution of vaccine baits to minimize the spread of the disease and the cost of implementing the control. Discrete optimal control techniques are used to derive the optimality system, which is then solved… (More)

An optimal control problem for an elliptic variational inequality with a source term is considered. The obstacle is the control, and the goal is to keep the solution of the variational inequality close to the desired proole while the H 1 norm of the obstacle is not too large. The addition of the source term strongly aaects the needed compactness result for… (More)