In this review, we scrutinize historical and modern results on the linear response of dynamic
systems to external perturbations and the celebrated relationship between fluctuations and …

We investigated the dynamical behavior of the Ziff, Gulari, and Barshad model considering
the adsorption rates of the carbon monoxide and oxygen molecules on a catalytic surface as …

In this work, we derive a deterministic equation for a generalized nonlocal population
dynamics that depends fundamentally on two lengths parameters (α, β). We associate these …

In this paper, we propose a new mathematical model nonlinear reaction-diffusion PDE's
describing the dynamics of propagation of cancer. Here the mixed problem for the proposed …

Fenômenos de crescimento de superfícies é um tema que tem sido muito estudado tanto do
ponto de vista experimental quanto teórico. O mesmo pode ser observado como, por …

In this paper, we study the mixed problem for the new class of nonlinear reaction-diffusion
PDEs with the nonlocal nonlinearity with variable exponents. Here we obtain results on …