Analysis of a Reaction-Diffusion System Modeling Man--Environment--Man Epidemics
From MaRDI portal
Publication:4337676
DOI10.1137/S0036139995284681zbMath0872.35053OpenAlexW1978325867MaRDI QIDQ4337676
No author found.
Publication date: 26 May 1997
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s0036139995284681
reaction-diffusion systemshomogeneous Dirichlet boundary conditionsepidemiologyqualitative properties of solutionsmonotone techniqueslinear parabolic equation coupled with a nonlinear ODEsaddle point structuresteady-state bifurcation pattern
Related Items
Spatial propagation in an epidemic model with nonlocal diffusion: the influences of initial data and dispersals, Saddle-point behavior for monotone semiflows and reaction-diffusion models, Local and global bifurcations in an SIRS epidemic model, Spreading speeds of time-dependent partially degenerate reaction-diffusion systems, Minimal wave speed in a diffusive epidemic model with temporal delay, Analysis of a prey-predator model with non-local interaction in the prey population, Existence and stability of bistable wavefronts in a nonlocal delayed reaction–diffusion epidemic system, Note on the stabilization of a reaction-diffusion model in epidemiology, Dynamics of an epidemic model with advection and free boundaries, Dynamics for a two-phase free boundary system in an epidemiological model with couple nonlocal dispersals, Propagation phenomena for man-environment epidemic model with nonlocal dispersals, Nonlocal problems involving spatial structure for coupled reaction-diffusion systems, Stability of traveling waves for partially degenerate nonlocal dispersal models in periodic habitats, The interplay between models and public health policies: regional control for a class of spatially structured epidemics \textit{(think globally, act locally)}, Modeling ebola virus disease transmissions with reservoir in a complex virus life ecology, Dynamics of a class of delayed reaction-diffusion systems with Neumann boundary condition, A periodic reaction–diffusion system modelling man–environment–man epidemics, Exponential stability of traveling fronts in a diffusion epidemic system with delay, Inverse problems in geographical economics: parameter identification in the spatial Solow model, Stability of traveling wavefronts for a nonlocal dispersal system with delay, Stabilization of a reaction-diffusion system modelling a class of spatially structured epidemic systems via feedback control, Spatial dynamics of a nonlocal reaction-diffusion epidemic model in time-space periodic habitat, Dynamics of an EIS spatially heterogeneous rabies model, Modeling and analyzing cholera transmission dynamics with vaccination age, Dynamics in a Rosenzweig-MacArthur predator-prey system with quiescence, Bistable waves for a class of cooperative reaction–diffusion systems, Asymptotic speeds of spread and traveling waves for integral equations and delayed reaction--diffusion models., Hopf bifurcation analysis on a delayed reaction-diffusion system modelling the spatial spread of bacterial and viral diseases, Global behavior of a reaction-diffusion model with time delay and Dirichlet condition, Dynamics of a reaction-diffusion-ODE system with quiescence, Applications of a Class of Herglotz Operator Pencils, Propagation direction of traveling waves for a class of bistable epidemic models, Superconvergence analysis of two-grid methods for bacteria equations, Existence of traveling wave solutions for cholera model, An SIRS epidemic model with vital dynamics and a ratio-dependent saturation incidence rate, An existence theorem for a nonlocal global pandemic model for insect-borne diseases, Traveling waves for epidemic models with nonlocal dispersal in time and space periodic habitats, Existence and exponential stability of traveling waves for delayed reaction-diffusion systems, A new combined scheme of \(H^1\)-Galerkin FEM and TGM for bacterial equations, Nonlocal initial problems for coupled reaction-diffusion systems and their applications, Global attractivity, spreading speeds and traveling waves of delayed nonlocal reaction-diffusion systems, On the stabilization of reaction–diffusion systems modeling a class of man‐environment epidemics: A review, Solving the inverse problem of an SIS epidemic reaction-diffusion model by optimal control methods, Internal eradicability of a diffusive epidemic system via feedback control, Numerical solutions of nonlinear integro-elliptic systems by monotone iterative methods, On a spatial Solow model with technological diffusion and nonconcave production function, Dynamical response of multi-patch, flux-based models to the input of infected people: epidemic response to initiated events, Wave propagation and its stability for a class of discrete diffusion systems, A partially diffusive cholera model based on a general second-order differential operator, Asymptotic behaviors and stochastic traveling waves in stochastic Fisher-KPP equations, On uniqueness of traveling waves for a reaction diffusion equation with spatio-temporal delay, Internal null stabilization for some diffusive models of population dynamics, Propagation phenomena for partially degenerate nonlocal dispersal models in time and space periodic habitats, Disease Spread and Its Effect on Population Dynamics in Heterogeneous Environment, Stability analysis and Hopf bifurcation in a diffusive epidemic model with two delays, Stabilization strategies for some reaction-diffusion systems, Stabilization of a Predator-Prey System with Nonlocal Terms, Existence of epidemic waves in a disease transmission model with two-habitat population, Dynamics of a host-pathogen system on a bounded spatial domain, Stability of traveling wave fronts for nonlocal diffusive systems, Analysis of an epidemiological model driven by multiple noises: ergodicity and convergence rate, A stabilization strategy for a reaction-diffusion system modelling a class of spatially structured epidemic systems (think globally, act locally), An epidemiology model suggested by yellow fever, Nonlocal dispersal cooperative systems: acceleration propagation among species, Erratum to ``Bistable waves in an epidemic model, Spatial dynamics of an epidemic model in time almost periodic and space periodic media, EXISTENCE AND QUALITATIVE FEATURES OF ENTIRE SOLUTIONS FOR DELAYED REACTION DIFFUSION SYSTEM: THE MONOSTABLE CASE, A stabilizability problem for a reaction-diffusion system modelling a class of spatially structured epidemic systems, Dynamical behavior of an epidemic model with a nonlinear incidence rate, Diffusion-induced spatio-temporal oscillations in an epidemic model with two delays
