13 citations · 40 across the 6 of their papers we have counts for
6 papers
Discrete-time staged progression epidemic models
Luis Sanz-Lorenzo, Rafael Bravo de la Parra
In the Staged Progression (SP) epidemic models, infected individuals are classified into a suitable number of states. The goal of these models is to describe as closely as possible…
Non-linear population discrete models with two time scales: re-scaling of part of the slow process
Luis Sanz, Rafael Bravo de la Parra, Marcos Marvá +1
In this work we present a reduction result for discrete time systems with two time scales. In order to be valid, previous results in the field require some strong hypotheses that a…
A discrete model of competing species sharing a parasite
Rafael Bravo de La Parra, Luis Sanz
In this work we develop a discrete model of competing species affected by a common parasite. We analyze the influence of the fast development of the shared disease on the community…
Discrete epidemic models with two time scales
Luis Sanz-Lorenzo, Rafael Bravo de la Parra
The main aim of the work is to present a general class of two time scales discrete-time epidemic models. In the proposed framework the disease dynamics is considered to act on a sl…
Stochastic matrix metapopulation models with fast migration: re-scaling survival to the fast scale
Luis Sanz, Rafael Bravo de la Parra
In this work we address the analysis of discrete-time models of structured metapopulations subject to environmental stochasticity. Previous works on these models made use of the fa…
Conditions for growth and extinction in matrix models with environmental stochasticity
Luis Sanz
In this kind of model, the main characteristic that determines population viability in the long term is the stochastic growth rate (SGR) denoted . When is larger than on…