3 papers
q-bio.PE2021
Modelling silicosis: dynamics of a model with piecewise constant rate coefficients
Pedro R. S. Antunes, Fernando P. da Costa, João T. Pinto +1
We study the dynamics about equilibria of an infinite dimension coagulation-fragmentation-death model for the silicosis disease mechanism introduced recently by da Costa, Drmota, a…
math.CA2020
Modelling silicosis: existence, uniqueness and basic properties of solutions
Fernando P. da Costa, João T. Pinto, Rafael Sasportes
We present a model for the silicosis disease mechanism following the original proposal by Tran, Jones, and Donaldson (1995) [9], as modified recently by da Costa, Drmota, and Grinf…
math.DS2019
Bifurcating solutions in a non-homogeneous boundary value problem for a nonlinear pendulum equation
Fernando P. da Costa, Michael Grinfeld, João T. Pinto +1
Motivated by recent studies of bifurcations in liquid crystals cells [1,2] we consider a nonlinear pendulum ordinary differential equation in the bounded interval with no…