Complex patterns in a space–time discrete mathematical model of antibiotic resistance in hospitals with self-diffusion

SM Salman, R Han - Communications in Nonlinear Science and Numerical …, 2023 - Elsevier
In this work, we extend an antibiotic resistance mathematical model in hospitals spatially on
a two-dimensional coupled map lattice. The complex dynamics of the resultant space–time …

[HTML][HTML] Space dependent models for studying the spread of some diseases

B Takács, R Horváth, I Faragó - Computers & Mathematics with …, 2020 - Elsevier
In this paper we present some extensions of the classical SIR model with non-symmetric
spatial dependence. SIR-type models usually describe the epidemic in a population, which …

[HTML][HTML] Qualitative properties of some discrete models of disease propagation

I Faragó, R Horváth - Journal of Computational and Applied Mathematics, 2018 - Elsevier
In this paper the qualitative properties of certain spatial disease propagation models are
investigated. The paper can be considered as a generalization of the papers (Faragóand …

[PDF][PDF] High order discretization methods for spatial dependent sir models

B Takács, Y Hadjimichael - arXiv preprint arXiv:1909.01330, 2019 - researchgate.net
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 …

Spatiotemporal Patterns in a Space–Time Discrete SIRS Epidemic Model with Self-and Cross-Diffusion

SM Salman, R Han - International Journal of Bifurcation and Chaos, 2024 - World Scientific
In this work, a two-dimensional Coupled Map Lattice (CML) method is applied to a
continuous Reaction–Diffusion (RD) SIRS epidemic model. The model involves a complex …

Epidemic spread in bipartite network by considering risk awareness

S Han, M Sun, BC Ampimah, D Han - Physica A: Statistical Mechanics and …, 2018 - Elsevier
Human awareness plays an important role in the spread of infectious diseases and the
control of propagation patterns. Exploring the interplay between human awareness and …

[HTML][HTML] High order discretization methods for spatial-dependent epidemic models

B Takács, Y Hadjimichael - Mathematics and Computers in Simulation, 2022 - Elsevier
In this paper, an epidemic model with spatial dependence is studied and results regarding
its stability and numerical approximation are presented. We consider a generalization of the …

[HTML][HTML] Operator splitting for space-dependent epidemic model

P Csomós, B Takács - Applied Numerical Mathematics, 2021 - Elsevier
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 …

A Escola Normal de Ouro Preto-um percurso marcado por crises e reestruturações (1835-1852)

JRL Jardilino, JS Pedruzzi - Cadernos de História da Educação, 2016 - educa.fcc.org.br
O presente artigo possui como finalidade entender, por meio de análise documental, o
funcionamento da Escola Normal de Ouro Preto, do ato de sua criação em 1835, à …

Rumor transmission on homogeneous networks with both oblivion-recall and loss-interest mechanisms

J Wang, M Li, YQ Wang, ZC Zhou… - 2019 Chinese Control …, 2019 - ieeexplore.ieee.org
In this paper, the reality of people's forgetting and losing interest in the process of rumor
spreading are considered. We introduce both the oblivion-recall mechanism and the loss …