12 citations · 21 across the 6 of their papers we have counts for
6 papers
Deterministic Critical Community Size For The SIR System and Viral Strain Selection
Marcilio Ferreira dos Santos, Cesar Castilho
In this paper the concept of Critical Community Size (CCS) for the deterministic SIR model is introduced and its consequences for the disease dynamics are stressed. The disease can…
Assessing the Efficiency of Different Control Strategies for the Coronavirus (COVID-19) Epidemic
César Castilho, João A. M. Gondim, Marcelo Marchesin +1
The goal of this work is to analyse the effects of control policies for the coronavirus (COVID-19) epidemic in Brazil. This is done by considering an age-structured SEIR model with…
The N-Vortex Problem on a Symmetric Ellipsoid: A Perturbation Approach
Cesar Castilho, Helio Machado
We consider the N-vortex problem on a ellipsoid of revolution. Applying standard techniques of classical perturbation theory we construct a sequence of conformal transformations fr…
The Spherical Landau Problem
Cesar Castilho, Andre Penna-Firme
The magnetization for electrons on a two-dimensional sphere, under a spherically symmetrical normal magnetic field has been studied in the large field limit. This allows us to use…
Collision Orbits for a Hill's Type Problem
Cesar Castilho
We study the planar problem of two satellites attracted by a center of force. Assuming that the center of mass of the two-satellite system is on a circular orbit around the center…
The Motion of a Charged Particle on a Riemannian Surface Under a Non-Zero Magnetic Field
Cesar Castilho
In this paper we study the motion of a charged particle on a Riemannian surface under the influence of a positive magnetic field B. Using Moser's Twist Theorem and ideas from class…