Prefer a chat interface with context about you and your work?
Analysis of the periodically fragmented environment model : I - Influence of periodic heterogeneous environment on species persistence.
This paper is concerned with the study of the stationary solutions of the equation $$u_t-\nabla\cdot(A(x)\nabla u)=f(x,u), x\in{\mathbb{R}}^N,$$ where the diffusion matrix $A$ and the reaction term $f$ are periodic in $x$. We prove existence and uniqueness results for the stationary equation and we then analyze the behaviour of the solutions …