Ecological monitoring in a discrete-time prey–predator model

M Gámez, I López, C Rodríguez, Z Varga… - Journal of Theoretical …, 2017 - Elsevier
The paper is aimed at the methodological development of ecological monitoring in discrete-
time dynamic models. In earlier papers, in the framework of continuous-time models, we …

Applications of mathematical systems theory in population biology

Z Varga - Periodica Mathematica Hungarica, 2008 - akjournals.com
This paper is a review of recent developments of a research line proposed on the turn of the
decades, 1980s to 1990s. The main results concern basic qualitative properties of nonlinear …

[HTML][HTML] Observability and observers in a food web

I López, M Gámez, S Molnár - Applied mathematics letters, 2007 - Elsevier
The problem of the possibility of recovering the time-dependent state of a whole population
system from the observation of certain components has been studied in earlier publications …

Observability in dynamic evolutionary models

I López, M Gámez, R Carreno - Biosystems, 2004 - Elsevier
In the paper observability problems are considered in basic dynamic evolutionary models for
sexual and asexual populations. Observability means that from the (partial) knowledge of …

State monitoring of a population system in changing environment

Z Varga, A Scarelli, A Shamandy - Community Ecology, 2003 - Springer
Abstract For Lotka-Volterra population systems, a general model of state monitoring is
presented. The model includes time-dependent environmental effects or direct human …

Observer design for phenotypic observation of genetic processes

I López, M Gámez, Z Varga - Nonlinear Analysis: Real World Applications, 2008 - Elsevier
In the paper a single-locus sexual population is considered, where the phenotypic selection
process is described by an evolutionary game. First, in order to recover the genetic process …

Monitoring of trophic chains

A Shamandy - Biosystems, 2005 - Elsevier
In the paper simple trophic chains of the type resource–producer–primary consumer are
considered. For an analysis of the dynamic state monitoring of this system, the concept of …

Monitoring in a predator–prey systems via a class of high order observer design

JL Mata-Machuca, R Martínez-Guerra, R Aguilar-López - BioSystems, 2010 - Elsevier
The goal of this work is the monitoring of the corresponding species in a class of predator–
prey systems, this issue is important from the ecology point of view to analyze the population …

Recent developments in monitoring of complex population systems

Z Varga, MA Gámez Cámara, MI López García - 2013 - repositorio.ual.es
The paper is an update of two earlier review papers concerning the application of the
methodology of mathematical systems theory to population ecology, a research line initiated …

Equilibrium, observability and controllability in selection-mutation models

I López, M Gámez, Z Varga - BioSystems, 2005 - Elsevier
In this paper we shortly discuss the problem of the equilibrium in the well-known Fisher type
selection-mutation model, also providing a formula for particular three-allele models. The …