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View article: High-order reliable numerical methods for epidemic models with non-constant recruitment rate
High-order reliable numerical methods for epidemic models with non-constant recruitment rate Open
The mathematical modeling of the propagation of diseases has an important role from both mathematical and biological points of view. In this article, we observe an SEIR-type model with a general incidence rate and a non-constant recruitmen…
View article: High-order reliable numerical methods for epidemic models with non-constant recruitment rate
High-order reliable numerical methods for epidemic models with non-constant recruitment rate Open
The mathematical modeling of the propagation of illnesses has an important role from both mathematical and biological points of view. In this article, we observe an SEIR-type model with a general incidence rate and a non-constant recruitme…
View article: Qualitative Properties of Space-Dependent SIR Models with Constant Delay and Their Numerical Solutions
Qualitative Properties of Space-Dependent SIR Models with Constant Delay and Their Numerical Solutions Open
In this article, a space-dependent epidemic model equipped with a constant latency period is examined. We construct a delay partial integro-differential equation and show that its solution possesses some biologically reasonable features. W…
View article: Local-density dependent Markov processes on graphons with epidemiological applications
Local-density dependent Markov processes on graphons with epidemiological applications Open
We investigate local-density dependent Markov processes on a class of large graphs sampled from a graphon, where the transition rates of the vertices are influenced by the states of their neighbors. We show that as the average degree conve…
View article: High order discretization methods for spatial-dependent SIR models
High order discretization methods for spatial-dependent SIR models Open
In this paper, an SIR model with spatial dependence is studied and results regarding its stability and numerical approximation are presented. We consider a generalization of the original Kermack and McKendrick model in which the size of th…
View article: Operator splitting for space-dependent epidemic model
Operator splitting for space-dependent epidemic model Open
We present and analyse numerical methods with operator splitting procedures, applied to an epidemic model which takes into account the space-dependence of the infection. We derive conditions on the time step, under which the numerical meth…
View article: Local-density dependent Markov processes on graphons with epidemiological applications
Local-density dependent Markov processes on graphons with epidemiological applications Open
We investigate local-density dependent Markov processes on a class of large graphs sampled from a graphon, where the transition rates of the vertices are influenced by the states of their neighbors. We show that as the average degree conve…
View article: High order discretizations for spatial dependent SIR models
High order discretizations for spatial dependent SIR models Open
In this paper, an SIR model with spatial dependence is studied and results regarding its stability and numerical approximation are presented. We consider a generalization of the original Kermack and McKendrick model in which the size of th…
View article: The effect of tree-diffusion in a mathematical model of Easter Island's population
The effect of tree-diffusion in a mathematical model of Easter Island's population Open
A number of theories have been constructed to explain the ecological collapse of the Easter Island. Basener and his co-authors proposed a mathematical model in the\nform of a system of ordinary differential equations. This system describes…
View article: Reachability Analysis and Control Synthesis for Uncertain Linear Systems in MPT∗∗The authors gratefully acknowledge the contribution of the Scientific Grant Agency of the Slovak Republic under the grants 1/0403/15 and 1/0973/12. The research leading to these results has received funding from the People Programme (Marie Curie Actions) of the European Union’s Seventh Framework Programme (FP7/2007-2013) under REA grant agreement no 607957 (TEMPO) and the internal grant of the Slovak University of Technology in Bratislava for support of young researchers.
Reachability Analysis and Control Synthesis for Uncertain Linear Systems in MPT∗∗The authors gratefully acknowledge the contribution of the Scientific Grant Agency of the Slovak Republic under the grants 1/0403/15 and 1/0973/12. The research leading to these results has received funding from the People Programme (Marie Curie Actions) of the European Union’s Seventh Framework Programme (FP7/2007-2013) under REA grant agreement no 607957 (TEMPO) and the internal grant of the Slovak University of Technology in Bratislava for support of young researchers. Open
Software tools play an important dissemination role by bringing cutting-edge theoretical algorithms into the hands of researchers and practitioners. This paper introduces a new robust analysis and control module of the Multi-Parametric too…