Evolutionary game theory mathematically conceptualizes and analyzes biological
interactions where one's fitness not only depends on one's own traits, but also on the traits of …

In metastatic castrate resistant prostate cancer (mCRPC), abiraterone is conventionally
administered continuously at maximal tolerated dose until treatment failure. The majority of …

Optimal Control (OC) is the process of determining control and state trajectories for a
dynamic system, over a period of time, in order to optimize a given performance index. With …

We derive and analyse a deterministic model for the transmission of malaria disease with
mass action form of infection. Firstly, we calculate the basic reproduction number, R0, and …

Qualitative research and comprehensive public awareness to nip the transmission of Ebola
virus in the bud before it becomes a global threat is fast becoming imperative especially now …

With the recent approval by the FDA of the first disease-modifying drug for Alzheimer's
Disease (AD), personalized medicine will be increasingly important for appropriate …

We consider an SIR model with variable size population and formulate an optimal control
problem subject to the model with vaccination and treatment as controls. Our aim is to find …

Cancer is a fatal disease for a very long time. It has its own history. Now it has become one
of the major reasons for death due to its various types. Researchers, scientists and doctors …

While chemotherapy is an effective method for treating cancers such as colorectal cancer, its
effectiveness may be dampened by the drug resistance and it may have significant side …

This paper serves as an introduction to the theory of optimal control applied to systems of
ordinary differential equations with emphasis on disease models. We outline the steps in …