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 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
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
