Asymptotic profiles of a diffusive SIS epidemic model with vector-mediated infection and logistic source

DOI10.1007/s00033-022-01888-5zbMath1504.35066OpenAlexW4309028374MaRDI QIDQ2105237

Yanyan Li

Publication date: 8 December 2022

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-022-01888-5

zbMATH Keywords

uniform persistencebasic reproduction numberSIS modelasymptotic profileendemic equilibriumspatial heterogeneity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Initial-boundary value problems for second-order parabolic systems (35K51) Boundary value problems for second-order elliptic systems (35J57)

Cites Work

• Unnamed Item
• 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
• Dynamics and asymptotic profiles of steady states of an epidemic model in advective environments
• Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model
• Effect of a protection zone in the diffusive Leslie predator-prey model
• 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
• A semilinear parabolic system arising in the theory of superconductivity
• Elliptic partial differential equations of second order
• 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
• Diffusion, self-diffusion and cross-diffusion
• Asymptotic profiles of a diffusive SIRS epidemic model with standard incidence mechanism and a logistic source
• Asymptotic profile of endemic equilibrium to a diffusive epidemic model with saturated incidence rate
• Analysis of a diffusive SIS epidemic model with spontaneous infection and a linear source in spatially heterogeneous environment
• Analysis on a diffusive SIS epidemic model with saturated incidence rate and linear source in a heterogeneous environment
• Asymptotic profile of the positive steady state for an SIS epidemic reaction-diffusion model: effects of epidemic risk and population movement
• On the effects of migration and spatial heterogeneity on single and multiple species
• A spatial SIS model in advective heterogeneous environments
• A reaction–diffusion SIS epidemic model in a time-periodic environment
• On stationary patterns of a reaction–diffusion model with autocatalysis and saturation law
• On a Diffusive Susceptible-Infected-Susceptible Epidemic Model with Mass Action Mechanism and Birth-Death Effect: Analysis, Simulations, and Comparison with Other Mechanisms
• Basic Reproduction Numbers for Reaction-Diffusion Epidemic Models
• Dynamical systems in population biology

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