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

DOI10.1016/j.cnsns.2023.107534OpenAlexW4386783012MaRDI QIDQ6058968

Sanaa Moussa Salman, Renji Han

Publication date: 1 November 2023

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2023.107534

zbMATH Keywords

stabilitypattern formationself-diffusioncoupled map latticeantibiotic resistanceTuring bifurcation

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Biophysics (92C05) Developmental biology, pattern formation (92C15) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Stability theory for difference equations (39A30) Applications of difference equations (39A60) Bifurcation theory for difference equations (39A28)

Cites Work

• Unnamed Item
• Rich dynamics in a spatial predator-prey model with delay
• Pattern formation, long-term transients, and the Turing-Hopf bifurcation in a space- and time-discrete predator-prey system
• On some qualitatively adequate discrete space-time models of epidemic propagation
• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• Pattern dynamics in spatiotemporal chaos. Pattern selection, diffusion of defect and pattern competition intermittency
• Nontrivial solutions for a nonlinear discrete elliptic equation with periodic boundary conditions
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Diffusion driven instability and Hopf bifurcation in spatial predator-prey model on a circular domain
• Bifurcation analysis and global dynamics of a mathematical model of antibiotic resistance in hospitals
• Spatiotemporal transmission dynamics for influenza disease in a heterogenous environment
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• A competitive model in a chemostat with nutrient recycling and antibiotic treatment
• Complex patterns in a space- and time-discrete predator-prey model with Beddington-DeAngelis functional response
• Cross-diffusion induced Turing instability for a competition model with saturation effect
• Traveling wave solutions for a class of discrete diffusive SIR epidemic model
• On the asymptotic behaviour of traveling wave solution for a discrete diffusive epidemic model
• Spreading properties for SIR models on homogeneous trees
• Traveling waves for a discrete diffusive SIR epidemic model with treatment
• Dynamics of periodic solutions in the reaction-diffusion glycolysis model: mathematical mechanisms of Turing pattern formation
• Basic reproduction numbers for a class of reaction-diffusion epidemic models
• Relating coupled map lattices to integro-difference equations: dispersal-driven instabilities in coupled map lattices
• Analysis of bifurcation, chaos and pattern formation in a discrete time and space Gierer Meinhardt system
• Analysis of a reaction-diffusion cholera epidemic model in a spatially heterogeneous environment
• Diffusion-reaction compartmental models formulated in a continuum mechanics framework: application to COVID-19, mathematical analysis, and numerical study
• Threshold dynamics of an age-space structured brucellosis disease model with Neumann boundary condition
• Spatiotemporal dynamics near the Turing-Hopf bifurcation in a toxic-phytoplankton-zooplankton model with cross-diffusion
• Bifurcation, chaos and pattern formation in a space- and time-discrete predator-prey system
• Relative effects of barrier precautions and topical antibiotics on nosocomial bacterial transmission: results of multi-compartment models
• Stability analysis and optimal control in an epidemic model on directed complex networks with nonlinear incidence
• Epidemic waves in a discrete diffusive endemic model with treatment and external supplies
• A Mathematical Model of the Spread of Feline Leukemia Virus (FeLV) Through a Highly Heterogeneous Spatial Domain
• Spatial Dynamics of a Nonlocal Periodic Reaction-Diffusion Model with Stage Structure
• LATTICE THREE-SPECIES MODELS OF THE SPATIAL SPREAD OF RABIES AMONG FOXES
• Complex Systems: Chaos and Beyond
• Evaluating the efficacy of antimicrobial cycling programmes and patient isolation on dual resistance in hospitals
• The chemical basis of morphogenesis
• Spatial‐temporal basic reproduction number and dynamics for a dengue disease diffusion model
• Asymptotic boundary and nonexistence of traveling waves in a discrete diffusive epidemic model
• Bifurcation, Chaos and Turing Instability Analysis for a Space-Time Discrete Toxic Phytoplankton-Zooplankton Model with Self-Diffusion
• Cross-diffusion-induced patterns in an SIR epidemic model on complex networks
• Traveling waves for a lattice dynamical system arising in a diffusive endemic model
• Turing instability and Hopf bifurcation of a spatially discretized diffusive Brusselator model with zero-flux boundary conditions
• Traveling waves for a four‐compartment lattice epidemic system with exposed class and standard incidence

This page was built for publication: Complex patterns in a space-time discrete mathematical model of antibiotic resistance in hospitals with self-diffusion