| Abstract: |
| In this talk, we consider a multistage, physiologically structured, population
model describing one of the most important grapevine insect pests. Growth of the
population at each stage is modeled considering the climatic variations and the grape
variety. We obtain the existence and uniqueness of solutions for the model, and also
prove the existence of a global attractor for the trajectories of the dynamical system
defined by the solutions of the model. Then we analyze the exact null and approximate controllability of the lobesia botrana model with nonlocal boundary condition. The main result is established by combining some estimations and the Carleman inequality for the backward system related to an optimal control problem. |
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