Convergence of a class of nonlinear time delays reaction-diffusion equations (Q2173293)

The paper is devoted to the convergence and the stochastic homogenization of sequences \((P_n)_{n\in \mathbb N}\) of reaction-diffusion equations of the type \[ \begin{cases} \frac{du_n}{dt}(t)+\partial \Phi _n(u_n(t))\ni F_n(t,u_n(t))&\text{for a.e. } t\in(0,T)\\ u_n(t)=\eta_n(t) &\text{for all }t\in(-\infty,0). \end{cases} \tag{\(P_n\)} \] The results obtained in the paper can be applied to various models of population dynamics or diseases in heterogeneous environments where delays terms may depend on the space variable.