Seminario del Departamento de
Ecuaciones Diferenciales y Análisis Numérico

Fecha : 10 de diciembre de 2021
Hora  : 11:00
Lugar : Seminario del Departamento (Fac. de Matemáticas, 3a. planta, módulo 34)

Willian Cintra

(Universidad de Brasilia, Brasil)

Resumen

We study a logistic equation with nonlinear advection term arising from population dynamics. The nonlinear advection term meaning that the velocity of transport movement of the species depends on its density and may be higher or lower. From the mathematical point of view, the inclusion of this term brings technical difficulties in the analysis, especially because it has no definite sign. We apply the method of subsolution and supersolution and Picone Identity we show the existence and uniqueness of a positive solution. We also study the behavior of the solutions with respect to parameters that appear in the equation.