Найдено научных статей и публикаций: 1, для научной тематики: Predator–prey mode
1.
K.Sakthivel, G.Devipriya, K.Balachandran, J.-H.Kim
- Numerical Functional Analysis and Optimization , 2010
This article establishes the controllability to the trajectories of a reaction-diffusion-advection
system describing predator–prey model by using distributed controls acting on a single equation
with the no-flux boundary conditions. We first prove the exact null controllability of an
associated linear...
This article establishes the controllability to the trajectories of a reaction-diffusion-advection
system describing predator–prey model by using distributed controls acting on a single equation
with the no-flux boundary conditions. We first prove the exact null controllability of an
associated linearized problem by establishing an observability estimate, derived from a global
Carleman type inequality, for the adjoint system. The proof of the nonlinear problem relies on
the suitable regularity of the control and Kakutani’s fixed point theorem.