COVID-19 pandemic has underlined the impact of emergent pathogens as a major threat to
human health. The development of quantitative approaches to advance comprehension of …

In this tutorial paper we first present some foundational results regarding the theory of
positive systems. In particular, we present fundamental results regarding stability, positive …

In this paper, we present a general formulation for a fractional optimal control problem
(FOCP), in which the state and co-state equations are given in terms of the left fractional …

Current antiretroviral therapies have improved the duration and quality of life of people living
with HIV-1. However, viral reservoirs impede complete eradication of the virus. Although …

In this monograph we consider the class of continuous-time positive switched systems. We
discuss several problems, including stability, performance analysis, stabilization via …

HIV/AIDS causes severe dysfunction of the immune system through CD4+ T cell depletion,
leading to dysregulation of both the adaptive and innate immune arms. A primary target for …

In this paper a fractional optimal control problem was formulated for the outbreak of COVID-
19 using a mathematical model with fractional order derivative in the Caputo sense. The …

Epidemics by infectious pathogens are a major threat to humankind. The year 2020 has
uncovered one 21 of the biggest pandemics in history, the novel coronavirus (COVID-19) …

The recent outbreaks of Ebola virus (EBOV) infections have underlined the impact of the
virus as a major threat for human health. Due to the high biosafety classification of EBOV …

In this paper, we present a fractional model for transmission dynamics of HIV/AIDS with
random testing and contact tracing and incorporate into the model the control parameters of …