A mathematical model of flavescence dorée in grapevines by considering seasonality.

This paper presents a mathematical model to describe the spread of flavescence dorée, a disease caused by the bacterium , which is transmitted by the insect vector in grapevine crops. The key contribution of this work is the derivation of conditions under which positive periodic solutions exist. These conditions are based on the assumption that key factors such as recruitment rates, disease transmission, and vector infectivity vary periodically, thus reflecting seasonal changes.

Cost Function Analysis Applied to Different Kinetic Release Models of Verlot Extract from Chitosan/Alginate Membranes.

This work focuses on the mathematical analysis of the controlled release of a standardized extract of from chitosan/alginate (C/A) membranes, which can be used for the treatment of skin lesions. Four different types of C/A membranes were tested: a dense membrane (CA), a dense and flexible membrane (CAS), a porous membrane (CAP) and a porous and flexible membrane (CAPS). The extract release profiles were obtained experimentally in vitro using PBS at 37 °C and pH 7.