Global $L^\infty$-bounds and Long-time Behavior of a Diffusive Epidemic System in A Heterogeneous Environment
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Publication:4990072
DOI10.1137/19M1276030zbMath1465.35063arXiv1906.11699OpenAlexW3160425559MaRDI QIDQ4990072
Publication date: 28 May 2021
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.11699
long-time behaviorheterogeneous environmentnonlinear incidence mechanism\(L^\infty \)-boundsepidemic reaction-diffusion system
Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Boundary value problems for second-order elliptic systems (35J57)
Related Items (11)
Analysis on a diffusive SI epidemic model with logistic source and saturation infection mechanism ⋮ Global attractivity of the equilibria of the diffusive SIR and SEIR epidemic models with multiple parallel infectious stages and nonlinear incidence mechanism ⋮ Concentration phenomenon of the endemic equilibrium of a reaction-diffusion-advection SIS epidemic model with spontaneous infection ⋮ Novel spatial profiles of some diffusive SIS epidemic models ⋮ An SIS epidemic model with mass action infection mechanism in a patchy environment ⋮ Epidemic dynamics and spatial segregation driven by cognitive diffusion and nonlinear incidence ⋮ A diffusive SIS epidemic model with saturated incidence function in a heterogeneous environment * ⋮ Dynamics analysis on a chronic epidemic model with diffusion ⋮ Concentration behavior of endemic equilibrium for a reaction-diffusion-advection SIS epidemic model with mass action infection mechanism ⋮ Analysis on a diffusive SEI epidemic model with/without immigration of infected hosts ⋮ Asymptotic dynamics of a logistic SIS epidemic reaction-diffusion model with nonlinear incidence rate
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