Modeling HIV persistence during suppressive therapy HIV persists in infected individuals despite prolonged antiretroviral therapy. Although the latent infection of CD4+ T cells might be a major barrier to viral eradication, other factors such as cell-to-cell viral transmission and infection of macrophages can also contribute to viral persistence. In this talk, I will discuss some recent …

Penalization of Singular Control Problems that Arise in Math Biology Optimal control problems applied to biological models tend to incorporate an objective function that increases quadratically with respect to the control. However, the principle of parsimony would lead one to assume linear dependence on the control instead. Problems of this form may have a solution …

Modeling social dynamics: consensus/fragmentation via repeated exchange of opinions When does an opinion formation process within an interacting group lead to consensus, polarization or fragmentation? In this talk, I will discuss several models for the dynamics of continuous opinions of individuals influenced by exchange of ideas and information within the corresponding social group. One specific …

Analysis of a model of a Zika/Dengue co-circulation We analyze a system with two vector-borne diseases (Zika and Dengue) being present. We introduce both a deterministic and a stochastic model that capture the dynamics of the system. For the deterministic model, we study the existence and the stability of different equilibrium points. For the corresponding …

Modeling the interplay between mosquito behavioral adaptation, human behavior, social economic factors and Malaria control We present a study of the interplay between mosquito behavioral adaptation, bed-nets efficacy decay and coverage, human behavior, and malaria to control strategies. The development of insecticide resistance to the common insecticides in increasing in intensity threatening the gains made …