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 …

Self-organization evolution of a population is studied considering generalized reaction-
diffusion equations. We proposed a model based on non-local operators that has several of …

This work presents new approximate analytical solutions for the Riccati equation (RE)
resulting from the application of the method of variation of parameters. The original equation …

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 …

Internal feedback is commonly present in biological populations and can play a crucial role
in the emergence of collective behavior. To describe the temporal evolution of the …

We study the existence, bifurcations, and stability of stationary solutions for the doubly-
nonlocal Fisher-KPP equation. We prove using Lyapunov-Schmidt reduction that under …

We investigate the critical behavior of a stochastic lattice model describing the hopping of
two species that undergo reactions B→ A and A+ B→ 2 B. We simulate the model defined on …

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 …

A evolução temporal de uma população é estudada utilizando equações de reaçãodifusão.
Partindo de uma formulação baseada em operadores não locais, é proposto um modelo …

The research presented in this thesis concerns different topics in the field of Biomathematics.
I address diverse questions arising in biology (and related to complex systems) with …