Hopf bifurcation of a diffusive SIS epidemic system with delay in heterogeneous environment
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Publication:5037949
DOI10.1080/00036811.2021.1909724zbMath1498.35040OpenAlexW3141234218MaRDI QIDQ5037949
Publication date: 29 September 2022
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2021.1909724
Epidemiology (92D30) Reaction-diffusion equations (35K57) Partial functional-differential equations (35R10) Bifurcations in context of PDEs (35B32) Initial-boundary value problems for second-order parabolic systems (35K51)
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Cites Work
- Traveling waves of infection in the hantavirus epidemics
- Mathematical models for the \textit{Aedes aegypti} dispersal dynamics: travelling waves by wing and wind
- Traveling waves and spread rates for a West Nile virus model
- Stability and bifurcation in a delayed reaction-diffusion equation with Dirichlet boundary condition
- A priori \(L^\infty\) estimates for solutions of a class of reaction-diffusion systems
- Asymptotic profiles of steady states for a diffusive SIS epidemic model with mass action infection mechanism
- Varying total population enhances disease persistence: qualitative analysis on a diffusive SIS epidemic model
- Positive soliton solutions for generalized quasilinear Schrödinger equations with critical growth
- Dynamics and asymptotic profiles of steady states of an epidemic model in advective environments
- Spatially nonhomogeneous equilibrium in a reaction-diffusion system with distributed delay
- A reaction-diffusion malaria model with incubation period in the vector population
- The effects of diffusion and spatial variation in Lotka-Volterra competition-diffusion system I: Heterogeneity vs. homogeneity
- Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model
- Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system
- Global stability of the steady states of an SIS epidemic reaction-diffusion model
- Asymptotic profiles of the positive steady state for an SIS epidemic reaction-diffusion model. I
- Hopf bifurcations in a reaction-diffusion population model with delay effect
- Asymptotic profiles of the endemic equilibrium to a diffusive SIS epidemic model with mass action infection mechanism
- Analysis on a diffusive SIS epidemic model with logistic source
- Theoretical analysis on a diffusive SIR epidemic model with nonlinear incidence in a heterogeneous environment
- Stability and Hopf bifurcation in a diffusive logistic population model with nonlocal delay effect
- Theory and applications of partial functional differential equations
- Normal forms for semilinear functional differential equations in Banach spaces and applications. II.
- Normal forms for retarded functional differential equations with parameters and applications to Hopf bifurcation
- Normal forms for retarded functional differential equations and applications to Bogdanov-Takens singularity
- Hopf bifurcation in a diffusive logistic equation with mixed delayed and instantaneous density dependence
- Bifurcation theory of functional differential equations
- Stability and bifurcation in a diffusive Lotka-Volterra system with delay
- Bifurcation and stability of a two-species reaction-diffusion-advection competition model
- Qualitative analysis of a Lotka-Volterra competition-diffusion-advection system
- On the stability of reaction-diffusion models with nonlocal delay effect and nonlinear boundary condition
- Dynamics of a diffusive Leslie-Gower predator-prey model in spatially heterogeneous environment
- Qualitative analysis on an SIS epidemic reaction-diffusion model with mass action infection mechanism and spontaneous infection in a heterogeneous environment
- A spatial SEIRS reaction-diffusion model in heterogeneous environment
- Bifurcation and stability of a two-species diffusive Lotka-Volterra model
- Stability and Hopf bifurcation in a Hutchinson model
- Stability and bifurcation in a reaction-diffusion model with nonlocal delay effect
- Spreading and vanishing in a West Nile virus model with expanding fronts
- Concentration profile of endemic equilibrium of a reaction-diffusion-advection SIS epidemic model
- Asymptotic profile of the positive steady state for an SIS epidemic reaction-diffusion model: effects of epidemic risk and population movement
- A spatial SIS model in advective heterogeneous environments
- Long-time dynamics of an SIRS reaction-diffusion epidemic model
- The Mathematics of Infectious Diseases
- A reaction–diffusion SIS epidemic model in a time-periodic environment
- Mathematical Models in Population Biology and Epidemiology
- Dynamics of a susceptible–infected–susceptible epidemic reaction–diffusion model
- A Mathematical Model for the Spatial Spread and Biocontrol of the Asian Longhorned Beetle
- Thresholds and travelling waves in an epidemic model for rabies
- The periodic Ross–Macdonald model with diffusion and advection
- A bifurcation problem for a nonlinear partial differential equation of parabolic type†
- Contributions to the mathematical theory of epidemics. II. —The problem of endemicity
- On a Diffusive Susceptible-Infected-Susceptible Epidemic Model with Mass Action Mechanism and Birth-Death Effect: Analysis, Simulations, and Comparison with Other Mechanisms
- Smoothness of Center Manifolds for Maps and Formal Adjoints for Semilinear FDEs in General Banach Spaces
- Dynamics and asymptotic profiles of endemic equilibrium for two frequency-dependent SIS epidemic models with cross-diffusion
- Hopf Bifurcation for Semilinear FDEs in General Banach Spaces
- Stability and Bifurcation in a Predator–Prey System with Prey-Taxis
- An Introduction to Mathematical Epidemiology
- Blowing-up of principal eigenvalues for Neumann boundary conditions
- A Mathematical Model for the Control and Eradication of a Wood Boring Beetle Infestation
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